Li, Jin; Cheng, Yongling Spectral collocation method for convection-diffusion equation. (English) Zbl 07813271 Demonstr. Math. 57, Article ID 20230110, 13 p. (2024). MSC: 65M70 65D05 41A25 41A50 31A30 76R50 PDFBibTeX XMLCite \textit{J. Li} and \textit{Y. Cheng}, Demonstr. Math. 57, Article ID 20230110, 13 p. (2024; Zbl 07813271) Full Text: DOI OA License
Potseiko, P. G.; Rovba, E. A. The Riesz-Zygmund sums of Fourier-Chebyshev rational integral operators and their approximation properties. (English. Russian original) Zbl 07804697 Sib. Math. J. 65, No. 1, 118-138 (2024); translation from Sib. Mat. Zh. 65, No. 1, 140-163 (2024). MSC: 41Axx 42Axx 34Exx PDFBibTeX XMLCite \textit{P. G. Potseiko} and \textit{E. A. Rovba}, Sib. Math. J. 65, No. 1, 118--138 (2024; Zbl 07804697); translation from Sib. Mat. Zh. 65, No. 1, 140--163 (2024) Full Text: DOI
Zhang, Lei-Hong; Han, Shanheng Convergence analysis of Lawson’s iteration for the polynomial and rational minimax approximations. arXiv:2401.00778 Preprint, arXiv:2401.00778 [math.NA] (2024). MSC: 41A50 41A20 65D15 90C46 BibTeX Cite \textit{L.-H. Zhang} and \textit{S. Han}, ``Convergence analysis of Lawson's iteration for the polynomial and rational minimax approximations'', Preprint, arXiv:2401.00778 [math.NA] (2024) Full Text: arXiv OA License
Jafarov, Sadulla Z. On approximation properties of functions by means of Fourier and Faber series in weighted Lebesgue spaces with variable exponent. (English) Zbl 07804651 Math. Morav. 27, No. 1, 97-112 (2023). MSC: 30E10 41A10 41A17 41A20 41A50 42A10 PDFBibTeX XMLCite \textit{S. Z. Jafarov}, Math. Morav. 27, No. 1, 97--112 (2023; Zbl 07804651) Full Text: DOI
Deniz, S.; Özger, F.; Ö. Özger, Z.; Mohiuddine, S. A.; Ersoy, M. T. Numerical solution of fractional Volterra integral equations based on rational Chebyshev approximation. (English) Zbl 07777196 Miskolc Math. Notes 24, No. 3, 1287-1305 (2023). MSC: 26A33 65R10 45D05 PDFBibTeX XMLCite \textit{S. Deniz} et al., Miskolc Math. Notes 24, No. 3, 1287--1305 (2023; Zbl 07777196) Full Text: DOI
Babayan, N. M.; Ginovyan, M. S. On the transfinite diameters of related sets. An extension of Robinson’s theorem. (English) Zbl 1526.30009 J. Contemp. Math. Anal., Armen. Acad. Sci. 58, No. 2, 93-100 (2023) and Izv. Nats. Akad. Nauk Armen., Mat. 58, No. 2, 3-13 (2023). MSC: 30C10 30C85 41A50 PDFBibTeX XMLCite \textit{N. M. Babayan} and \textit{M. S. Ginovyan}, J. Contemp. Math. Anal., Armen. Acad. Sci. 58, No. 2, 93--100 (2023; Zbl 1526.30009) Full Text: DOI
Khoa D. Nguyen Transcendence of polynomial canonical heights. (English) Zbl 1527.37105 Math. Ann. 387, No. 1-2, 1-15 (2023). Reviewer: Jaroslav Hančl (Ostrava) MSC: 37P05 37P30 37P55 11J81 11G50 PDFBibTeX XMLCite \textit{Khoa D. Nguyen}, Math. Ann. 387, No. 1--2, 1--15 (2023; Zbl 1527.37105) Full Text: DOI arXiv
Huang, Yi C. On Bernstein inequality via Chebyshev polynomial. (English) Zbl 07726253 Comput. Methods Funct. Theory 23, No. 3, 417-419 (2023). MSC: 41A17 30C10 PDFBibTeX XMLCite \textit{Y. C. Huang}, Comput. Methods Funct. Theory 23, No. 3, 417--419 (2023; Zbl 07726253) Full Text: DOI
Georgieva, Irina; Hofreither, Clemens A Newton method for best uniform rational approximation. (English) Zbl 1522.65022 Numer. Algorithms 93, No. 4, 1741-1758 (2023). MSC: 65D15 41A20 41A50 PDFBibTeX XMLCite \textit{I. Georgieva} and \textit{C. Hofreither}, Numer. Algorithms 93, No. 4, 1741--1758 (2023; Zbl 1522.65022) Full Text: DOI
Peiris, Vinesha Rational and generalised rational Chebyshev approximation problems and their applications. (Abstract of thesis). (English) Zbl 1521.65053 Bull. Aust. Math. Soc. 107, No. 2, 349-350 (2023). MSC: 65K10 65D15 65K05 68T07 90C26 90C90 PDFBibTeX XMLCite \textit{V. Peiris}, Bull. Aust. Math. Soc. 107, No. 2, 349--350 (2023; Zbl 1521.65053) Full Text: DOI
Uchimura, Keisuke Dynamics of Chebyshev endomorphisms on some affine algebraic varieties. (English) Zbl 1522.14006 Kyoto J. Math. 63, No. 3, 669-719 (2023). Reviewer: Alvaro Bustinduy (Madrid) MSC: 14A05 37F10 PDFBibTeX XMLCite \textit{K. Uchimura}, Kyoto J. Math. 63, No. 3, 669--719 (2023; Zbl 1522.14006) Full Text: DOI arXiv Link
Potseiko, P. G.; Rovba, Y. A. On estimates of uniform approximations by rational Fourier-Chebyshev integral operators for a certain choice of poles. (English. Russian original) Zbl 1518.42004 Math. Notes 113, No. 6, 815-830 (2023); translation from Mat. Zametki 113, No. 6, 876-894 (2023). MSC: 42A10 41A20 41A50 PDFBibTeX XMLCite \textit{P. G. Potseiko} and \textit{Y. A. Rovba}, Math. Notes 113, No. 6, 815--830 (2023; Zbl 1518.42004); translation from Mat. Zametki 113, No. 6, 876--894 (2023) Full Text: DOI
Totik, Vilmos Zeros of Chebyshev polynomials on Jordan curves. (English) Zbl 1525.30003 Pure Appl. Funct. Anal. 8, No. 2, 647-659 (2023). Reviewer: Klaus Schiefermayr (Wels) MSC: 30C10 30C15 PDFBibTeX XMLCite \textit{V. Totik}, Pure Appl. Funct. Anal. 8, No. 2, 647--659 (2023; Zbl 1525.30003) Full Text: Link
Christiansen, Jacob S.; Simon, Barry; Zinchenko, Maxim Asymptotics of Chebyshev polynomials. V: Residual polynomials. (English) Zbl 1528.41074 Ramanujan J. 61, No. 1, 251-278 (2023). Reviewer: Klaus Schiefermayr (Wels) MSC: 41A50 30C80 30C10 PDFBibTeX XMLCite \textit{J. S. Christiansen} et al., Ramanujan J. 61, No. 1, 251--278 (2023; Zbl 1528.41074) Full Text: DOI arXiv
Malachivskyy, P. S.; Melnychok, L. S.; Pizyur, Ya. V. Chebyshev approximation of multivariable functions by a constrained rational expression. (English. Ukrainian original) Zbl 1528.41075 Cybern. Syst. Anal. 59, No. 1, 146-155 (2023); translation from Kibern. Sist. Anal. 59, No. 1, 169-179 (2023). MSC: 41A50 41A05 65D05 PDFBibTeX XMLCite \textit{P. S. Malachivskyy} et al., Cybern. Syst. Anal. 59, No. 1, 146--155 (2023; Zbl 1528.41075); translation from Kibern. Sist. Anal. 59, No. 1, 169--179 (2023) Full Text: DOI
Ludew, Jakub Jan; Różański, Michał; Słowik, Roksana; Wituła, Roman A new description of the complex roots using zeros of some polynomials. (English) Zbl 1520.12001 Result. Math. 78, No. 3, Paper No. 74, 6 p. (2023). Reviewer: Olga M. Katkova (Boston) MSC: 12D10 26C10 30C15 PDFBibTeX XMLCite \textit{J. J. Ludew} et al., Result. Math. 78, No. 3, Paper No. 74, 6 p. (2023; Zbl 1520.12001) Full Text: DOI
Paraschiv, Dan Newton-like components in the Chebyshev-Halley family of degree \(n\) polynomials. (English) Zbl 1518.37059 Mediterr. J. Math. 20, No. 3, Paper No. 149, 17 p. (2023). Reviewer: Patricia Dominguez (Puebla) MSC: 37F10 37F31 37F20 37F46 30D05 PDFBibTeX XMLCite \textit{D. Paraschiv}, Mediterr. J. Math. 20, No. 3, Paper No. 149, 17 p. (2023; Zbl 1518.37059) Full Text: DOI arXiv
Alaqad, Hala; Gong, Jianhua; Martin, Gaven Chebyshev polynomials and inequalities for Kleinian groups. (English) Zbl 1508.30004 Commun. Contemp. Math. 25, No. 2, Article ID 2150102, 22 p. (2023). MSC: 30C10 30F40 20H10 PDFBibTeX XMLCite \textit{H. Alaqad} et al., Commun. Contemp. Math. 25, No. 2, Article ID 2150102, 22 p. (2023; Zbl 1508.30004) Full Text: DOI arXiv
Jawecki, Tobias; Singh, Pranav Unitary rational best approximations to the exponential function. arXiv:2312.13809 Preprint, arXiv:2312.13809 [math.NA] (2023). MSC: 30E10 33B10 41A05 41A20 41A25 41A50 41A52 BibTeX Cite \textit{T. Jawecki} and \textit{P. Singh}, ``Unitary rational best approximations to the exponential function'', Preprint, arXiv:2312.13809 [math.NA] (2023) Full Text: arXiv OA License
Christiansen, Jacob S.; Eichinger, Benjamin; Rubin, Olof Extremal polynomials and polynomial preimages. arXiv:2312.12992 Preprint, arXiv:2312.12992 [math.CA] (2023). MSC: 41A50 30C10 26D05 BibTeX Cite \textit{J. S. Christiansen} et al., ``Extremal polynomials and polynomial preimages'', Preprint, arXiv:2312.12992 [math.CA] (2023) Full Text: arXiv OA License
Bergman, Alex; Rubin, Olof Chebyshev polynomials corresponding to a vanishing weight. arXiv:2309.02047 Preprint, arXiv:2309.02047 [math.CV] (2023). MSC: 41A50 30C10 30A10 26D05 41A17 BibTeX Cite \textit{A. Bergman} and \textit{O. Rubin}, ``Chebyshev polynomials corresponding to a vanishing weight'', Preprint, arXiv:2309.02047 [math.CV] (2023) Full Text: arXiv OA License
Zhang, Lei-Hong; Yang, Linyi; Yang, Wei Hong; Zhang, Ya-Nan A convex dual programming for the rational minimax approximation and Lawson’s iteration. arXiv:2308.06991 Preprint, arXiv:2308.06991 [math.NA] (2023). MSC: 41A50 41A20 65D15 33F05 90C46 BibTeX Cite \textit{L.-H. Zhang} et al., ``A convex dual programming for the rational minimax approximation and Lawson's iteration'', Preprint, arXiv:2308.06991 [math.NA] (2023) Full Text: arXiv OA License
Peiris, Vinesha; Millan, Reinier Diaz; Sukhorukova, Nadezda; Ugon, Julien A comparison of rational and neural network based approximations. arXiv:2303.04436 Preprint, arXiv:2303.04436 [math.OC] (2023). MSC: 41A50 41A20 41A63 65D10 65D12 65D15 BibTeX Cite \textit{V. Peiris} et al., ``A comparison of rational and neural network based approximations'', Preprint, arXiv:2303.04436 [math.OC] (2023) Full Text: arXiv OA License
Nayak, Tarakanta; Pal, Soumen The Julia sets of Chebyshev’s method with small degrees. (English) Zbl 1519.37042 Nonlinear Dyn. 110, No. 1, 803-819 (2022). MSC: 37F10 65H05 PDFBibTeX XMLCite \textit{T. Nayak} and \textit{S. Pal}, Nonlinear Dyn. 110, No. 1, 803--819 (2022; Zbl 1519.37042) Full Text: DOI arXiv
Tsar’kov, I. G. Properties of Chebyshev generalized rational fractions in \(L_1\). (English) Zbl 1528.41031 Russ. J. Math. Phys. 29, No. 4, 583-587 (2022). MSC: 41A20 41A50 41A52 PDFBibTeX XMLCite \textit{I. G. Tsar'kov}, Russ. J. Math. Phys. 29, No. 4, 583--587 (2022; Zbl 1528.41031) Full Text: DOI
Alimov, A. R.; Tsar’kov, I. G. Classical problems of rational approximation. (English. Russian original) Zbl 1528.41073 Dokl. Math. 106, No. 2, 305-307 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 5-8 (2022). MSC: 41A50 PDFBibTeX XMLCite \textit{A. R. Alimov} and \textit{I. G. Tsar'kov}, Dokl. Math. 106, No. 2, 305--307 (2022; Zbl 1528.41073); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 5--8 (2022) Full Text: DOI
Ma’u, Sione Transfinite diameter on the graph of a polynomial mapping and the DeMarco-Rumely formula. (English) Zbl 1504.32002 Eur. J. Math. 8, No. 3, 1042-1071 (2022). MSC: 32A08 PDFBibTeX XMLCite \textit{S. Ma'u}, Eur. J. Math. 8, No. 3, 1042--1071 (2022; Zbl 1504.32002) Full Text: DOI arXiv
Kumar, Shrawan; Mathur, Neha; Rathour, Laxmi; Mishra, Vishnu Narayan; Mathur, Pankaj Radau quadrature for a rational almost quasi-Hermite-Fejer-type interpolation. (English) Zbl 1518.41002 Korean J. Math. 30, No. 1, 43-51 (2022). MSC: 41A05 05A15 15A15 PDFBibTeX XMLCite \textit{S. Kumar} et al., Korean J. Math. 30, No. 1, 43--51 (2022; Zbl 1518.41002) Full Text: DOI
Li, Jin Linear barycentric rational collocation method for solving biharmonic equation. (English) Zbl 1501.65005 Demonstr. Math. 55, 587-603 (2022). MSC: 65D05 65L60 31A30 PDFBibTeX XMLCite \textit{J. Li}, Demonstr. Math. 55, 587--603 (2022; Zbl 1501.65005) Full Text: DOI
Huguin, Valentin Quadratic rational maps with integer multipliers. (English) Zbl 1505.37107 Math. Z. 302, No. 2, 949-969 (2022). MSC: 37P05 37P35 37F10 37F44 PDFBibTeX XMLCite \textit{V. Huguin}, Math. Z. 302, No. 2, 949--969 (2022; Zbl 1505.37107) Full Text: DOI arXiv
Hare, Kevin G.; Hodges, Philip W. Applications of integer semi-infinite programing to the integer Chebyshev problem. (English) Zbl 1498.11088 Exp. Math. 31, No. 2, 694-700 (2022). MSC: 11C08 30C10 30E10 90C34 PDFBibTeX XMLCite \textit{K. G. Hare} and \textit{P. W. Hodges}, Exp. Math. 31, No. 2, 694--700 (2022; Zbl 1498.11088) Full Text: DOI arXiv
Díaz Millán, R.; Sukhorukova, Nadezda; Ugon, Julien An algorithm for best generalised rational approximation of continuous functions. (English) Zbl 1492.90123 Set-Valued Var. Anal. 30, No. 3, 923-941 (2022). MSC: 90C25 90C26 90C90 90C47 65D15 65K10 PDFBibTeX XMLCite \textit{R. Díaz Millán} et al., Set-Valued Var. Anal. 30, No. 3, 923--941 (2022; Zbl 1492.90123) Full Text: DOI arXiv
Al Hamdani, Summer; Tran, Khang Zeros of a binomial combination of Chebyshev polynomials. (English) Zbl 1507.30002 Int. J. Number Theory 18, No. 4, 799-811 (2022). Reviewer: Ahmad Barhoumi (Ann Arbor) MSC: 30C15 26C10 33C45 PDFBibTeX XMLCite \textit{S. Al Hamdani} and \textit{K. Tran}, Int. J. Number Theory 18, No. 4, 799--811 (2022; Zbl 1507.30002) Full Text: DOI arXiv
Díaz Millán, R.; Peiris, V.; Sukhorukova, N.; Ugon, J. Multivariate approximation by polynomial and generalized rational functions. (English) Zbl 1489.41019 Optimization 71, No. 4, 1171-1187 (2022). MSC: 41A63 41A20 65D15 90C26 90C47 90C90 PDFBibTeX XMLCite \textit{R. Díaz Millán} et al., Optimization 71, No. 4, 1171--1187 (2022; Zbl 1489.41019) Full Text: DOI arXiv
Peiris, Vinesha; Sukhorukova, Nadezda The extension of the linear inequality method for generalized rational Chebyshev approximation to approximation by general quasilinear functions. (English) Zbl 1489.41007 Optimization 71, No. 4, 999-1019 (2022). MSC: 41A20 65D15 65K10 90C26 90C47 90C90 PDFBibTeX XMLCite \textit{V. Peiris} and \textit{N. Sukhorukova}, Optimization 71, No. 4, 999--1019 (2022; Zbl 1489.41007) Full Text: DOI arXiv
Schiefermayr, Klaus; Zinchenko, Maxim Norm estimates for Chebyshev polynomials. II. (English) Zbl 1489.30005 J. Math. Anal. Appl. 512, No. 1, Article ID 126131, 16 p. (2022). Reviewer: D. K. Ugulava (Tbilisi) MSC: 30C10 30E10 26C05 PDFBibTeX XMLCite \textit{K. Schiefermayr} and \textit{M. Zinchenko}, J. Math. Anal. Appl. 512, No. 1, Article ID 126131, 16 p. (2022; Zbl 1489.30005) Full Text: DOI
Alpan, Gökalp Extremal polynomials on a Jordan arc. (English) Zbl 1501.30011 J. Approx. Theory 276, Article ID 105708, 8 p. (2022). MSC: 30E10 30C10 PDFBibTeX XMLCite \textit{G. Alpan}, J. Approx. Theory 276, Article ID 105708, 8 p. (2022; Zbl 1501.30011) Full Text: DOI arXiv
Dmitrishin, Dmitriy; Smorodin, Andrey; Stokolos, Alex An extremal problem for polynomials. (English) Zbl 1479.42001 Appl. Comput. Harmon. Anal. 56, 283-305 (2022). MSC: 42A05 15B05 30C10 30E10 33C45 PDFBibTeX XMLCite \textit{D. Dmitrishin} et al., Appl. Comput. Harmon. Anal. 56, 283--305 (2022; Zbl 1479.42001) Full Text: DOI
Abd El Salam, Mohamed A.; Ramadan, Mohamed A.; Nassar, Mahmoud A.; Agarwal, Praveen; Chu, Yu-Ming Matrix computational collocation approach based on rational Chebyshev functions for nonlinear differential equations. (English) Zbl 1494.65065 Adv. Difference Equ. 2021, Paper No. 331, 17 p. (2021). MSC: 65L60 PDFBibTeX XMLCite \textit{M. A. Abd El Salam} et al., Adv. Difference Equ. 2021, Paper No. 331, 17 p. (2021; Zbl 1494.65065) Full Text: DOI
Kumar, Shrawan; Mathur, Neha; Mishra, Vishnu Narayan; Mathur, Pankaj Rational Pál type \((0,1;0)\)-interpolation and quadrature formula with Chebyshev-Markov fractions. (English) Zbl 1507.41001 Trans. A. Razmadze Math. Inst. 175, No. 2, 235-251 (2021). MSC: 41A05 41A20 PDFBibTeX XMLCite \textit{S. Kumar} et al., Trans. A. Razmadze Math. Inst. 175, No. 2, 235--251 (2021; Zbl 1507.41001) Full Text: Link
Novello, Galen; Schiefermayr, Klaus; Zinchenko, Maxim Weighted Chebyshev polynomials on compact subsets of the complex plane. (English) Zbl 1483.30023 Gesztesy, Fritz (ed.) et al., From operator theory to orthogonal polynomials, combinatorics, and number theory. A volume in honor of Lance Littlejohn’s 70th birthday. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 285, 357-370 (2021). MSC: 30C10 30E10 41A50 PDFBibTeX XMLCite \textit{G. Novello} et al., Oper. Theory: Adv. Appl. 285, 357--370 (2021; Zbl 1483.30023) Full Text: DOI
Christiansen, Jacob Stordal; Henriksen, Christian; Pedersen, Henrik Laurberg; Petersen, Carsten Lunde Filled Julia sets of Chebyshev polynomials. (English) Zbl 1485.37043 J. Geom. Anal. 31, No. 12, 12250-12263 (2021). Reviewer: José Manuel Gutiérrez Jimenez (Logrono) MSC: 37F10 37F35 31A15 33C45 42C05 PDFBibTeX XMLCite \textit{J. S. Christiansen} et al., J. Geom. Anal. 31, No. 12, 12250--12263 (2021; Zbl 1485.37043) Full Text: DOI arXiv
Fang, Jiao; Zhao, Yi; Xiang, Chenghao Rational approximation to \({|x|^\alpha}\) at the Chebyshev nodes. (Chinese. English summary) Zbl 1488.41019 J. Hangzhou Norm. Univ., Nat. Sci. 20, No. 2, 143-148 (2021). MSC: 41A20 41A25 PDFBibTeX XMLCite \textit{J. Fang} et al., J. Hangzhou Norm. Univ., Nat. Sci. 20, No. 2, 143--148 (2021; Zbl 1488.41019) Full Text: DOI
Gawlik, Evan S. Rational minimax iterations for computing the matrix \(p\)th root. (English) Zbl 1510.65079 Constr. Approx. 54, No. 1, 1-34 (2021). MSC: 65F45 65F60 41A20 49K35 PDFBibTeX XMLCite \textit{E. S. Gawlik}, Constr. Approx. 54, No. 1, 1--34 (2021; Zbl 1510.65079) Full Text: DOI arXiv
Huguin, Valentin Unicritical polynomial maps with rational multipliers. (English) Zbl 1475.37108 Conform. Geom. Dyn. 25, 79-87 (2021). MSC: 37P05 37P35 37F10 37F44 PDFBibTeX XMLCite \textit{V. Huguin}, Conform. Geom. Dyn. 25, 79--87 (2021; Zbl 1475.37108) Full Text: DOI arXiv
Gawlik, Evan S.; Nakatsukasa, Yuji Approximating the \(p\)th root by composite rational functions. (English) Zbl 1471.41006 J. Approx. Theory 266, Article ID 105577, 16 p. (2021). Reviewer: Josef Kofroň (Praha) MSC: 41A20 41A25 41A50 65D15 PDFBibTeX XMLCite \textit{E. S. Gawlik} and \textit{Y. Nakatsukasa}, J. Approx. Theory 266, Article ID 105577, 16 p. (2021; Zbl 1471.41006) Full Text: DOI arXiv
Bogatyrëv, Andrei Projective view at optimization problem for multiband filter. (English) Zbl 1477.41007 Proc. Am. Math. Soc. 149, No. 7, 3021-3035 (2021). MSC: 41A20 41A50 49K35 94C60 PDFBibTeX XMLCite \textit{A. Bogatyrëv}, Proc. Am. Math. Soc. 149, No. 7, 3021--3035 (2021; Zbl 1477.41007) Full Text: DOI arXiv
Pritsker, Igor Heights of polynomials over lemniscates. (English) Zbl 1471.11263 Acta Arith. 198, No. 3, 219-231 (2021). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 12D10 30C10 30C15 PDFBibTeX XMLCite \textit{I. Pritsker}, Acta Arith. 198, No. 3, 219--231 (2021; Zbl 1471.11263) Full Text: DOI arXiv
Cayama, Jorge; Cuesta, Carlota M.; de la Hoz, Francisco A pseudospectral method for the one-dimensional fractional Laplacian on \(\mathbb{R} \). (English) Zbl 1508.65090 Appl. Math. Comput. 389, Article ID 125577, 21 p. (2021). MSC: 65L60 34A08 65L10 PDFBibTeX XMLCite \textit{J. Cayama} et al., Appl. Math. Comput. 389, Article ID 125577, 21 p. (2021; Zbl 1508.65090) Full Text: DOI arXiv
Peiris, V.; Sharon, N.; Sukhorukova, N.; Ugon, J. Generalised rational approximation and its application to improve deep learning classifiers. (English) Zbl 1474.90339 Appl. Math. Comput. 389, Article ID 125560, 10 p. (2021). MSC: 90C25 65D15 65K10 PDFBibTeX XMLCite \textit{V. Peiris} et al., Appl. Math. Comput. 389, Article ID 125560, 10 p. (2021; Zbl 1474.90339) Full Text: DOI arXiv
Schiefermayr, Klaus; Zinchenko, Maxim Norm estimates for Chebyshev polynomials, I. (English) Zbl 1462.41012 J. Approx. Theory 265, Article ID 105561, 14 p. (2021). Reviewer: D. K. Ugulava (Tbilisi) MSC: 41A50 30C10 30E10 PDFBibTeX XMLCite \textit{K. Schiefermayr} and \textit{M. Zinchenko}, J. Approx. Theory 265, Article ID 105561, 14 p. (2021; Zbl 1462.41012) Full Text: DOI
Stawiska, Małgorzata Convex hulls of polynomial Julia sets. (English) Zbl 1478.37051 Proc. Am. Math. Soc. 149, No. 1, 245-250 (2021). Reviewer: Kirill Lazebnik (New Haven) MSC: 37F10 37F20 30C15 52A10 PDFBibTeX XMLCite \textit{M. Stawiska}, Proc. Am. Math. Soc. 149, No. 1, 245--250 (2021; Zbl 1478.37051) Full Text: DOI arXiv Backlinks: MO
Kilar, Neslihan; Simsek, Yilmaz Identities and relations for Hermite-based Milne-Thomson polynomials associated with Fibonacci and Chebyshev polynomials. (English) Zbl 1456.05007 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 1, Paper No. 28, 20 p. (2021). MSC: 05A15 11B39 11B68 26C05 33B10 30C15 PDFBibTeX XMLCite \textit{N. Kilar} and \textit{Y. Simsek}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 1, Paper No. 28, 20 p. (2021; Zbl 1456.05007) Full Text: DOI
Bowman, Joshua P. Geometry and algebra of the deltoid map. (English) Zbl 1460.37043 Am. Math. Mon. 128, No. 1, 25-39 (2021). Reviewer: Patricia Dominguez (Puebla) MSC: 37F10 37F20 53A04 PDFBibTeX XMLCite \textit{J. P. Bowman}, Am. Math. Mon. 128, No. 1, 25--39 (2021; Zbl 1460.37043) Full Text: DOI arXiv
Christiansen, Jacob S.; Simon, Barry; Zinchenko, Maxim Widom Factors and Szegő-Widom Asymptotics, a Review. arXiv:2112.06450 Preprint, arXiv:2112.06450 [math.CA] (2021). MSC: 41A50 30C10 30C15 30E15 BibTeX Cite \textit{J. S. Christiansen} et al., ``Widom Factors and Szeg\H{o}-Widom Asymptotics, a Review'', Preprint, arXiv:2112.06450 [math.CA] (2021) Full Text: arXiv OA License
Kong, Desong; Xiang, Shuhuang Fast linear barycentric rational interpolation for singular functions via scaled transformations. arXiv:2101.07949 Preprint, arXiv:2101.07949 [math.NA] (2021). MSC: 32E30 41A20 41A50 65N35 65M70 BibTeX Cite \textit{D. Kong} and \textit{S. Xiang}, ``Fast linear barycentric rational interpolation for singular functions via scaled transformations'', Preprint, arXiv:2101.07949 [math.NA] (2021) Full Text: arXiv OA License
Eichinger, Benjamin; Lukić, Milivoje; Young, Giorgio Asymptotics of Chebyshev rational functions with respect to subsets of the real line. arXiv:2101.01744 Preprint, arXiv:2101.01744 [math.CA] (2021). MSC: 41A50 30E15 30C10 BibTeX Cite \textit{B. Eichinger} et al., ``Asymptotics of Chebyshev rational functions with respect to subsets of the real line'', Preprint, arXiv:2101.01744 [math.CA] (2021) Full Text: arXiv OA License
Heim, Bernhard; Neuhauser, Markus Difference equations related to number theory. (English) Zbl 1472.39032 Baigent, Steve (ed.) et al., Progress on difference equations and discrete dynamical systems. ICDEA 25, London, UK, June 24–28, 2019. Proceedings of the 25th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 341, 245-255 (2020). Reviewer: Enzo Bonacci (Latina) MSC: 39A60 39-06 11B37 11B83 30C10 11F20 11Z05 33C45 PDFBibTeX XMLCite \textit{B. Heim} and \textit{M. Neuhauser}, Springer Proc. Math. Stat. 341, 245--255 (2020; Zbl 1472.39032) Full Text: DOI
Christiansen, Jacob S.; Simon, Barry; Zinchenko, Maxim Asymptotics of Chebyshev polynomials. IV: Comments on the complex case. (English) Zbl 1472.30001 J. Anal. Math. 141, No. 1, 207-223 (2020). Reviewer: Klaus Schiefermayr (Wels) MSC: 30C10 42C05 PDFBibTeX XMLCite \textit{J. S. Christiansen} et al., J. Anal. Math. 141, No. 1, 207--223 (2020; Zbl 1472.30001) Full Text: DOI arXiv Link
Malachivskyy, P. S.; Pizyur, Ya. V.; Malachivsky, R. P. Chebyshev approximation by a rational expression for functions of many variables. (English. Russian original) Zbl 1458.65017 Cybern. Syst. Anal. 56, No. 5, 811-819 (2020); translation from Kibern. Sist. Anal. 2020, No. 5, 146-156 (2020). MSC: 65D15 41A50 PDFBibTeX XMLCite \textit{P. S. Malachivskyy} et al., Cybern. Syst. Anal. 56, No. 5, 811--819 (2020; Zbl 1458.65017); translation from Kibern. Sist. Anal. 2020, No. 5, 146--156 (2020) Full Text: DOI
Campos, B.; Canela, J.; Vindel, P. Connectivity of the Julia set for the Chebyshev-Halley family on degree \(n\) polynomials. (English) Zbl 1453.37039 Commun. Nonlinear Sci. Numer. Simul. 82, Article ID 105026, 19 p. (2020). MSC: 37F10 65H04 PDFBibTeX XMLCite \textit{B. Campos} et al., Commun. Nonlinear Sci. Numer. Simul. 82, Article ID 105026, 19 p. (2020; Zbl 1453.37039) Full Text: DOI arXiv
Veselovska, Ol’ga V.; Dostoina, Veronika V. A system of functions biorthogonal with the derivatives of Chebyshev second-kind polynomials of a complex variable. (English. Ukrainian original) Zbl 1450.30015 J. Math. Sci., New York 249, No. 5, 786-803 (2020); translation from Ukr. Mat. Visn. 17, No. 2, 256-277 (2020). MSC: 30C10 30B50 PDFBibTeX XMLCite \textit{O. V. Veselovska} and \textit{V. V. Dostoina}, J. Math. Sci., New York 249, No. 5, 786--803 (2020; Zbl 1450.30015); translation from Ukr. Mat. Visn. 17, No. 2, 256--277 (2020) Full Text: DOI
Christiansen, Jacob S.; Simon, Barry; Zinchenko, Maxim Asymptotics of Chebyshev polynomials. III: Sets saturating Szegő, Schiefermayr, and Totik-Widom bounds. (English) Zbl 1448.41026 Kurasov, Pavel (ed.) et al., Analysis as a tool in mathematical physics. In memory of Boris Pavlov. Collected papers presented at the conferences “Spectral Theory and Applications”, Stockholm, Sweden, March 13–15, 2016 and “Operator Theory, Analysis and Mathematical Physics – OTAMP2016”, Euler International Mathematical Institute, St. Petersburg, Russia, August 2–7, 2016. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 276, 231-246 (2020). Reviewer: Klaus Schiefermayr (Wels) MSC: 41A50 30C10 30C80 PDFBibTeX XMLCite \textit{J. S. Christiansen} et al., Oper. Theory: Adv. Appl. 276, 231--246 (2020; Zbl 1448.41026) Full Text: DOI arXiv
Levenberg, N.; Wielonsky, F. Zeros of Faber polynomials for Joukowski airfoils. (English) Zbl 1451.30017 Constr. Approx. 52, No. 1, 93-114 (2020). Reviewer: Olga M. Katkova (Boston) MSC: 30C15 30C20 30C10 31A15 PDFBibTeX XMLCite \textit{N. Levenberg} and \textit{F. Wielonsky}, Constr. Approx. 52, No. 1, 93--114 (2020; Zbl 1451.30017) Full Text: DOI arXiv
Verma, S.; Viswanathan, P. A fractalization of rational trigonometric functions. (English) Zbl 1442.28010 Mediterr. J. Math. 17, No. 3, Paper No. 93, 23 p. (2020). Reviewer: Peter Massopust (München) MSC: 28A80 41A20 41A30 41A50 PDFBibTeX XMLCite \textit{S. Verma} and \textit{P. Viswanathan}, Mediterr. J. Math. 17, No. 3, Paper No. 93, 23 p. (2020; Zbl 1442.28010) Full Text: DOI arXiv
Szabłowski, Paweł J. On the generalized Kesten-McKay distributions. (English) Zbl 1447.60043 ESAIM, Probab. Stat. 24, 56-68 (2020). MSC: 60E05 05E05 62H05 60J10 PDFBibTeX XMLCite \textit{P. J. Szabłowski}, ESAIM, Probab. Stat. 24, 56--68 (2020; Zbl 1447.60043) Full Text: DOI arXiv
Gutiérrez, José M.; Varona, Juan L. Superattracting extraneous fixed points and \(n\)-cycles for Chebyshev’s method on cubic polynomials. (English) Zbl 1440.37053 Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 54, 23 p. (2020). MSC: 37F10 37F46 65H05 PDFBibTeX XMLCite \textit{J. M. Gutiérrez} and \textit{J. L. Varona}, Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 54, 23 p. (2020; Zbl 1440.37053) Full Text: DOI
Gawlik, Evan S. Iterations for the Unitary Sign Decomposition and the Unitary Eigendecomposition. arXiv:2011.12449 Preprint, arXiv:2011.12449 [math.NA] (2020). MSC: 65F60 65F15 41A20 30E10 41A50 15A23 BibTeX Cite \textit{E. S. Gawlik}, ``Iterations for the Unitary Sign Decomposition and the Unitary Eigendecomposition'', Preprint, arXiv:2011.12449 [math.NA] (2020) Full Text: arXiv OA License
Gawlik, Evan S.; Nakatsukasa, Yuji Zolotarev’s fifth and sixth problems. arXiv:2011.10877 Preprint, arXiv:2011.10877 [math.CA] (2020). MSC: 41A20 30E10 41A50 BibTeX Cite \textit{E. S. Gawlik} and \textit{Y. Nakatsukasa}, ``Zolotarev's fifth and sixth problems'', Preprint, arXiv:2011.10877 [math.CA] (2020) Full Text: arXiv OA License
Qi, F.; Čer\u{n}anová, V.; Semenov, Y. S. Some tridiagonal determinants related to central Delannoy numbers, the Chebyshev polynomials, and the Fibonacci polynomials. (English) Zbl 1513.11057 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 81, No. 1, 123-136 (2019). MSC: 11B39 11B83 11C08 11C20 11Y55 15B36 26C99 47B36 PDFBibTeX XMLCite \textit{F. Qi} et al., Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 81, No. 1, 123--136 (2019; Zbl 1513.11057)
Babenko, V. F.; Polyakov, O. V. On the nonsymmetric approximation of continuous functions in the integral metric. (English) Zbl 1489.41006 Res. Math. 27, No. 2, 7-12 (2019). MSC: 41A20 41A50 PDFBibTeX XMLCite \textit{V. F. Babenko} and \textit{O. V. Polyakov}, Res. Math. 27, No. 2, 7--12 (2019; Zbl 1489.41006) Full Text: DOI
Popov, A. Yu. New lower bound for the modulus of an analytic function. (Russian. English summary) Zbl 1476.30025 Chelyabinskiĭ Fiz.-Mat. Zh. 4, No. 2, 155-164 (2019). MSC: 30C10 30A10 PDFBibTeX XMLCite \textit{A. Yu. Popov}, Chelyabinskiĭ Fiz.-Mat. Zh. 4, No. 2, 155--164 (2019; Zbl 1476.30025) Full Text: DOI MNR
Bayramov, E. B. Polynomials least deviating from zero on a square of the complex plane. (English. Russian original) Zbl 1441.30006 Proc. Steklov Inst. Math. 307, Suppl. 1, S13-S22 (2019); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 2, 5-15 (2018). MSC: 30C10 PDFBibTeX XMLCite \textit{E. B. Bayramov}, Proc. Steklov Inst. Math. 307, S13--S22 (2019; Zbl 1441.30006); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 2, 5--15 (2018) Full Text: DOI
Foucart, Simon; Lasserre, Jean Bernard Computation of Chebyshev polynomials for union of intervals. (English) Zbl 1436.30004 Comput. Methods Funct. Theory 19, No. 4, 625-641 (2019). MSC: 30C10 30E10 PDFBibTeX XMLCite \textit{S. Foucart} and \textit{J. B. Lasserre}, Comput. Methods Funct. Theory 19, No. 4, 625--641 (2019; Zbl 1436.30004) Full Text: DOI arXiv
Kochurov, A. S.; Tikhomirov, V. M. On extrapolation of polynomials with real coefficients to the complex plane. (English. Russian original) Zbl 1439.30014 Math. Notes 106, No. 4, 572-576 (2019); translation from Mat. Zametki 106, No. 4, 543-548 (2019). MSC: 30C10 30C15 PDFBibTeX XMLCite \textit{A. S. Kochurov} and \textit{V. M. Tikhomirov}, Math. Notes 106, No. 4, 572--576 (2019; Zbl 1439.30014); translation from Mat. Zametki 106, No. 4, 543--548 (2019) Full Text: DOI
Schiefermayr, Klaus Chebyshev polynomials on circular arcs. (English) Zbl 1449.30080 Acta Sci. Math. 85, No. 3-4, 629-649 (2019). Reviewer: Konstantin Malyutin (Kursk) MSC: 30E10 30C10 33E05 41A50 PDFBibTeX XMLCite \textit{K. Schiefermayr}, Acta Sci. Math. 85, No. 3--4, 629--649 (2019; Zbl 1449.30080) Full Text: DOI
Andrievskii, V.; Nazarov, F. On the Totik-Widom property for a quasidisk. (English) Zbl 1435.30005 Constr. Approx. 50, No. 3, 497-505 (2019). Reviewer: Piroska Lakatos (Debrecen) MSC: 30A10 30C10 30C62 30E10 PDFBibTeX XMLCite \textit{V. Andrievskii} and \textit{F. Nazarov}, Constr. Approx. 50, No. 3, 497--505 (2019; Zbl 1435.30005) Full Text: DOI arXiv
Kim, Seon-Hong A modified polynomial sequence of the Chebyshev polynomials of the second kind. (English) Zbl 1428.30007 Commun. Korean Math. Soc. 34, No. 2, 429-437 (2019). MSC: 30C15 33C45 PDFBibTeX XMLCite \textit{S.-H. Kim}, Commun. Korean Math. Soc. 34, No. 2, 429--437 (2019; Zbl 1428.30007) Full Text: DOI
Çakmak, M.; Uslu, K. A generalization of Chebyshev polynomials with well-known kinds and transition relations. (English) Zbl 1438.30011 Acta Univ. Apulensis, Math. Inform. 57, 19-30 (2019). MSC: 30C10 33C45 33C52 41A50 65Q30 PDFBibTeX XMLCite \textit{M. Çakmak} and \textit{K. Uslu}, Acta Univ. Apulensis, Math. Inform. 57, 19--30 (2019; Zbl 1438.30011)
Steinerberger, Stefan A nonlocal transport equation describing roots of polynomials under differentiation. (English) Zbl 1431.35196 Proc. Am. Math. Soc. 147, No. 11, 4733-4744 (2019). Reviewer: Guido Schneider (Stuttgart) MSC: 35Q70 44A15 26C10 31A99 37F10 33C45 41A50 33C52 PDFBibTeX XMLCite \textit{S. Steinerberger}, Proc. Am. Math. Soc. 147, No. 11, 4733--4744 (2019; Zbl 1431.35196) Full Text: DOI arXiv
Ren, Yanmin; Yu, Xuhong; Wang, Zhongqing Diagonalized Chebyshev rational spectral methods for second-order elliptic problems on unbounded domains. (English) Zbl 1438.65307 Numer. Math., Theory Methods Appl. 12, No. 1, 265-284 (2019). MSC: 65N35 35J15 41A50 PDFBibTeX XMLCite \textit{Y. Ren} et al., Numer. Math., Theory Methods Appl. 12, No. 1, 265--284 (2019; Zbl 1438.65307) Full Text: DOI
Gawlik, Evan S. Zolotarev iterations for the Matrix square Root. (English) Zbl 1420.65057 SIAM J. Matrix Anal. Appl. 40, No. 2, 696-719 (2019). MSC: 65F30 65F60 41A20 49K35 PDFBibTeX XMLCite \textit{E. S. Gawlik}, SIAM J. Matrix Anal. Appl. 40, No. 2, 696--719 (2019; Zbl 1420.65057) Full Text: DOI arXiv
Munch, Niels Juul A Chebyshev theorem for ellipses in the complex plane. (English) Zbl 1477.41014 Am. Math. Mon. 126, No. 5, 430-436 (2019). Reviewer: Alexey Alimov (Moskva) MSC: 41A50 30C10 PDFBibTeX XMLCite \textit{N. J. Munch}, Am. Math. Mon. 126, No. 5, 430--436 (2019; Zbl 1477.41014) Full Text: DOI
Christiansen, Jacob S.; Simon, Barry; Yuditskii, Peter; Zinchenko, Maxim Asymptotics of Chebyshev polynomials. II: DCT subsets of \(\mathbb{R}\). (English) Zbl 1426.41035 Duke Math. J. 168, No. 2, 325-349 (2019). Reviewer: Jürgen Müller (Trier) MSC: 41A50 30C10 30E15 PDFBibTeX XMLCite \textit{J. S. Christiansen} et al., Duke Math. J. 168, No. 2, 325--349 (2019; Zbl 1426.41035) Full Text: DOI arXiv Euclid
Szabłowski, Paweł J. On probabilistic aspects of Chebyshev polynomials. (English) Zbl 1412.62063 Stat. Probab. Lett. 145, 205-215 (2019). MSC: 62H10 41A50 60E05 42A16 PDFBibTeX XMLCite \textit{P. J. Szabłowski}, Stat. Probab. Lett. 145, 205--215 (2019; Zbl 1412.62063) Full Text: DOI arXiv
Sánchez-Reyes, Javier The Joukowsky map reveals the cubic equation. (English) Zbl 1408.30006 Am. Math. Mon. 126, No. 1, 33-40 (2019). MSC: 30C15 26C10 41A50 PDFBibTeX XMLCite \textit{J. Sánchez-Reyes}, Am. Math. Mon. 126, No. 1, 33--40 (2019; Zbl 1408.30006) Full Text: DOI
Zhang, Xiaolong; Boyd, John P. Revisiting the Thomas-Fermi equation: accelerating rational Chebyshev series through coordinate transformations. (English) Zbl 1507.65260 Appl. Numer. Math. 135, 186-205 (2019). MSC: 65N35 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{J. P. Boyd}, Appl. Numer. Math. 135, 186--205 (2019; Zbl 1507.65260) Full Text: DOI
Berriochoa, E.; Cachafeiro, A.; Marcellán, F. Szegő transformation and zeros of analytic perturbations of Chebyshev weights. (English) Zbl 1404.30005 J. Math. Anal. Appl. 470, No. 1, 571-583 (2019). MSC: 30C15 33C45 PDFBibTeX XMLCite \textit{E. Berriochoa} et al., J. Math. Anal. Appl. 470, No. 1, 571--583 (2019; Zbl 1404.30005) Full Text: DOI
Murugusundaramoorthy, G.; Vijaya, K.; Güney, H. Ö. Certain subclasses of bi-univalent functions associated with the Chebyshev polynomials based on Hohlov operator. (English) Zbl 1435.30018 Tbil. Math. J. 11, No. 2, 153-166 (2018). Reviewer: Janusz Sokol (Rzeszow) MSC: 30C10 30C50 PDFBibTeX XMLCite \textit{G. Murugusundaramoorthy} et al., Tbil. Math. J. 11, No. 2, 153--166 (2018; Zbl 1435.30018) Full Text: DOI Euclid
Chong, Han Kyol; Kim, Seon-Hong On the maximum and minimum modulus of polynomials on circles. (English) Zbl 1422.30007 Commun. Korean Math. Soc. 33, No. 4, 1303-1308 (2018). MSC: 30C10 30C15 PDFBibTeX XMLCite \textit{H. K. Chong} and \textit{S.-H. Kim}, Commun. Korean Math. Soc. 33, No. 4, 1303--1308 (2018; Zbl 1422.30007) Full Text: DOI
Baseri, A.; Abbasbandy, S.; Babolian, E. A collocation method for fractional diffusion equation in a long time with Chebyshev functions. (English) Zbl 1427.65281 Appl. Math. Comput. 322, 55-65 (2018). MSC: 65M70 35R11 65M15 35K05 PDFBibTeX XMLCite \textit{A. Baseri} et al., Appl. Math. Comput. 322, 55--65 (2018; Zbl 1427.65281) Full Text: DOI
Danchenko, V. I.; Komarov, M. A.; Chunaev, P. V. Extremal and approximative properties of simple partial fractions. (English. Russian original) Zbl 1459.41015 Russ. Math. 62, No. 12, 6-41 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 12, 9-49 (2018). Reviewer: David Zarnadze (Tbilisi) MSC: 41A50 30E10 PDFBibTeX XMLCite \textit{V. I. Danchenko} et al., Russ. Math. 62, No. 12, 6--41 (2018; Zbl 1459.41015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 12, 9--49 (2018) Full Text: DOI arXiv
Kalmykov, S. I. On polynomials normalized on an interval. (Russian. English summary) Zbl 1415.30005 Dal’nevost. Mat. Zh. 18, No. 2, 261-266 (2018). MSC: 30C10 30C35 PDFBibTeX XMLCite \textit{S. I. Kalmykov}, Dal'nevost. Mat. Zh. 18, No. 2, 261--266 (2018; Zbl 1415.30005) Full Text: MNR
Parand, Kourosh; Rabiei, Kobra; Delkhosh, Mehdi An efficient numerical method for solving nonlinear Thomas-Fermi equation. (English) Zbl 1415.65179 Acta Univ. Sapientiae, Math. 10, No. 1, 134-151 (2018). MSC: 65L60 65L10 34A45 34B16 34B40 81Q05 PDFBibTeX XMLCite \textit{K. Parand} et al., Acta Univ. Sapientiae, Math. 10, No. 1, 134--151 (2018; Zbl 1415.65179) Full Text: DOI
DeFrain, Isaac Chebyshev polynomials associated with a system of continua. (English) Zbl 1435.30016 Mashreghi, Javad (ed.) et al., New trends in approximation theory. In memory of André Boivin. Proceedings of the conference, Toronto, Canada, July 25–29, 2016. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer. Fields Inst. Commun. 81, 137-149 (2018). Reviewer: Neha Malik (New Delhi) MSC: 30C10 PDFBibTeX XMLCite \textit{I. DeFrain}, Fields Inst. Commun. 81, 137--149 (2018; Zbl 1435.30016) Full Text: DOI
Golbabai, Ahmad; Samadpour, Sima Rational Chebyshev collocation approach in the solution of the axisymmetric stagnation flow on a circular cylinder. (English) Zbl 1424.65232 Comput. Methods Differ. Equ. 6, No. 4, 483-500 (2018). MSC: 65N35 35Q35 76D05 PDFBibTeX XMLCite \textit{A. Golbabai} and \textit{S. Samadpour}, Comput. Methods Differ. Equ. 6, No. 4, 483--500 (2018; Zbl 1424.65232) Full Text: Link
Ait-Haddou, Rachid; Mazure, Marie-Laurence; Render, Hermann Nested sequences of rational spaces: Bernstein approximation, dimension elevation, and Pólya-type theorems on positive polynomials. (English) Zbl 1396.41010 J. Approx. Theory 234, 20-50 (2018). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A20 26C15 41A36 41A50 65D15 65D17 PDFBibTeX XMLCite \textit{R. Ait-Haddou} et al., J. Approx. Theory 234, 20--50 (2018; Zbl 1396.41010) Full Text: DOI
Barrios Rolanía, D.; Geronimo, J. S.; López Lagomasino, G. High-order recurrence relations, Hermite-Padé approximation and Nikishin systems. (English. Russian original) Zbl 1401.30037 Sb. Math. 209, No. 3, 385-420 (2018); translation from Mat. Sb. 209, No. 3, 102-137 (2018). Reviewer: Konstantin Malyutin (Sumy) MSC: 30E10 42C05 41A20 PDFBibTeX XMLCite \textit{D. Barrios Rolanía} et al., Sb. Math. 209, No. 3, 385--420 (2018; Zbl 1401.30037); translation from Mat. Sb. 209, No. 3, 102--137 (2018) Full Text: DOI arXiv
Eichinger, B.; Yuditskii, P. Ahlfors problem for polynomials. (English. Russian original) Zbl 1402.30005 Sb. Math. 209, No. 3, 320-351 (2018); translation from Mat. Sb. 209, No. 3, 34-66 (2018). Reviewer: Leonid Golinskii (Kharkov) MSC: 30C10 30E15 41A50 14K20 30C85 30F10 46E22 PDFBibTeX XMLCite \textit{B. Eichinger} and \textit{P. Yuditskii}, Sb. Math. 209, No. 3, 320--351 (2018; Zbl 1402.30005); translation from Mat. Sb. 209, No. 3, 34--66 (2018) Full Text: DOI arXiv
Rouba, Y.; Patseika, P.; Smatrytski, K. On a system of rational Chebyshev-Markov fractions. (English) Zbl 1399.42083 Anal. Math. 44, No. 1, 115-140 (2018). Reviewer: Gustaf Gripenberg (Helsingfors) MSC: 42C10 41A25 PDFBibTeX XMLCite \textit{Y. Rouba} et al., Anal. Math. 44, No. 1, 115--140 (2018; Zbl 1399.42083) Full Text: DOI