Tileubaev, Tilektes Ereshovich The exact Jackson-Stechkin inequality in \(L_{2,\mu_{\alpha}}\). (Russian. English summary) Zbl 07815805 Chebyshevskiĭ Sb. 24, No. 3(89), 139-161 (2023). MSC: 41-XX 26-XX PDFBibTeX XMLCite \textit{T. E. Tileubaev}, Chebyshevskiĭ Sb. 24, No. 3(89), 139--161 (2023; Zbl 07815805) Full Text: DOI MNR
Tyr, O.; Daher, R. On the approximation of functions by Jacobi-Dunkl expansions in the weighted space \({\mathbb{L}}_2^{\left(\alpha ,\beta \right)} \). (English) Zbl 07691034 Ukr. Math. J. 74, No. 10, 1629-1644 (2023); and Ukr. Mat. Zh. 74, No. 10, 1427-1440 (2022). MSC: 33Cxx 41Axx 42Axx PDFBibTeX XMLCite \textit{O. Tyr} and \textit{R. Daher}, Ukr. Math. J. 74, No. 10, 1629--1644 (2023; Zbl 07691034) Full Text: DOI
Tyr, Othman; Daher, Radouan Some direct and inverse theorems of approximation of functions in Jacobi-Dunkl discrete harmonic analysis. (English) Zbl 07798318 J. Math. Sci., New York 266, No. 4, Series A, 534-553 (2022). MSC: 41A36 42B37 47B48 PDFBibTeX XMLCite \textit{O. Tyr} and \textit{R. Daher}, J. Math. Sci., New York 266, No. 4, 534--553 (2022; Zbl 07798318) Full Text: DOI
Arestov, V. V.; Deikalova, M. V. On one generalized translation and the corresponding inequality of different metrics. (English. Russian original) Zbl 1523.42001 Proc. Steklov Inst. Math. 319, Suppl. 1, S30-S42 (2022); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 28, No. 4, 40-53 (2022). Reviewer: Mohammad Sababheh (Amman) MSC: 42A05 41A17 41A63 46E30 PDFBibTeX XMLCite \textit{V. V. Arestov} and \textit{M. V. Deikalova}, Proc. Steklov Inst. Math. 319, S30--S42 (2022; Zbl 1523.42001); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 28, No. 4, 40--53 (2022) Full Text: DOI
Abdellatif, Akhlidj; Radouan, Daher; Dahani, Afaf; El Hamma, Mohamed On estimates for the generalized Dunkl transform and Titchmarsh’s theorem in the space \(L^p_{\alpha,Q}(\mathbb{R})\) (\(1<p\leq 2\)). (English) Zbl 1499.46055 Facta Univ., Ser. Math. Inf. 37, No. 1, 31-40 (2022). MSC: 46E30 41A25 PDFBibTeX XMLCite \textit{A. Abdellatif} et al., Facta Univ., Ser. Math. Inf. 37, No. 1, 31--40 (2022; Zbl 1499.46055) Full Text: DOI
Bouhlal, A.; Safouane, N.; Belkhadir, A.; Daher, R. Equivalence between K-functionals and modulus of smoothness on the quaternion algebra. (English) Zbl 1487.42009 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 68, No. 1, 79-89 (2022). MSC: 42A38 42B10 42C40 11R52 41A50 PDFBibTeX XMLCite \textit{A. Bouhlal} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 68, No. 1, 79--89 (2022; Zbl 1487.42009) Full Text: DOI
Sheng, Baohuai; Zuo, Lan Error analysis of the kernel regularized regression based on refined convex losses and RKBSs. (English) Zbl 1478.62095 Int. J. Wavelets Multiresolut. Inf. Process. 19, No. 5, Article ID 2150012, 52 p. (2021). MSC: 62G08 46E22 41A25 68T05 PDFBibTeX XMLCite \textit{B. Sheng} and \textit{L. Zuo}, Int. J. Wavelets Multiresolut. Inf. Process. 19, No. 5, Article ID 2150012, 52 p. (2021; Zbl 1478.62095) Full Text: DOI
Shabozov, M. Sh.; Kadamshoev, N. U. Sharp inequalities between the best root-mean-square approximations of analytic functions in the disk and some smoothness characteristics in the Bergman space. (English. Russian original) Zbl 1477.41006 Math. Notes 110, No. 2, 248-260 (2021); translation from Mat. Zametki 110, No. 2, 266-281 (2021). MSC: 41A17 30E10 41A25 PDFBibTeX XMLCite \textit{M. Sh. Shabozov} and \textit{N. U. Kadamshoev}, Math. Notes 110, No. 2, 248--260 (2021; Zbl 1477.41006); translation from Mat. Zametki 110, No. 2, 266--281 (2021) Full Text: DOI
Shabozov, M. Sh.; Saidusaynov, M. S. Approximation of functions of a complex variable by Fourier sums in orthogonal systems in \(L_2\). (English. Russian original) Zbl 1462.41004 Russ. Math. 64, No. 6, 56-62 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 6, 65-72 (2020). Reviewer: Daniel Cárdenas Morales (Jaén) MSC: 41A17 30E10 42A38 46E30 PDFBibTeX XMLCite \textit{M. Sh. Shabozov} and \textit{M. S. Saidusaynov}, Russ. Math. 64, No. 6, 56--62 (2020; Zbl 1462.41004); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 6, 65--72 (2020) Full Text: DOI
Volkov, Yuriy S. Efficient computation of Favard constants and their connection to Euler polynomials and numbers. (English) Zbl 1494.41002 Sib. Èlektron. Mat. Izv. 17, 1921-1942 (2020). MSC: 41A05 11B68 41A44 PDFBibTeX XMLCite \textit{Y. S. Volkov}, Sib. Èlektron. Mat. Izv. 17, 1921--1942 (2020; Zbl 1494.41002) Full Text: DOI
Vakarchuk, S. B. Estimates of the values of \(n\)-widths of classes of analytic functions in the weight spaces \(H_{2,\gamma}(D)\). (English. Russian original) Zbl 1454.42024 Math. Notes 108, No. 6, 775-790 (2020); translation from Mat. Zametki 108, No. 6, 803-822 (2020). MSC: 42C05 42B10 41A46 PDFBibTeX XMLCite \textit{S. B. Vakarchuk}, Math. Notes 108, No. 6, 775--790 (2020; Zbl 1454.42024); translation from Mat. Zametki 108, No. 6, 803--822 (2020) Full Text: DOI
Shabozov, M. Sh.; Khuromonov, Kh. M. On the best approximation in the mean of functions of a complex variable by Fourier series in the Bergman space. (English. Russian original) Zbl 1443.41009 Russ. Math. 64, No. 2, 66-83 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 2, 74-92 (2020). MSC: 41A17 41A10 43A50 PDFBibTeX XMLCite \textit{M. Sh. Shabozov} and \textit{Kh. M. Khuromonov}, Russ. Math. 64, No. 2, 66--83 (2020; Zbl 1443.41009); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 2, 74--92 (2020) Full Text: DOI
Vakarchuk, S. B. Approximation by classical orthogonal polynomials with weight in spaces \(L_{2, \gamma }(a,b)\) and widths of some functional classes. (English. Russian original) Zbl 1443.41003 Russ. Math. 63, No. 12, 32-44 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 12, 37-51 (2019). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A10 PDFBibTeX XMLCite \textit{S. B. Vakarchuk}, Russ. Math. 63, No. 12, 32--44 (2019; Zbl 1443.41003); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 12, 37--51 (2019) Full Text: DOI
Vakarchuk, S. B. On the estimates of widths of the classes of functions defined by the generalized moduli of continuity and majorants in the weighted space \(L_{2,x}(0, 1)\). (English. Russian original) Zbl 1435.41029 Ukr. Math. J. 71, No. 2, 202-214 (2019); translation from Ukr. Mat. Zh. 71, No. 2, 179-189 (2019). MSC: 41A46 46E35 PDFBibTeX XMLCite \textit{S. B. Vakarchuk}, Ukr. Math. J. 71, No. 2, 202--214 (2019; Zbl 1435.41029); translation from Ukr. Mat. Zh. 71, No. 2, 179--189 (2019) Full Text: DOI
Shabozov, M. Sh.; Saidusaynov, M. S. Upper bounds for the approximation of certain classes of functions of a complex variable by Fourier series in the space \(L_2\) and \(n\)-widths. (English. Russian original) Zbl 1397.42001 Math. Notes 103, No. 4, 656-668 (2018); translation from Mat. Zametki 103, No. 4, 617-631 (2018). MSC: 42A10 41A17 41A46 PDFBibTeX XMLCite \textit{M. Sh. Shabozov} and \textit{M. S. Saidusaynov}, Math. Notes 103, No. 4, 656--668 (2018; Zbl 1397.42001); translation from Mat. Zametki 103, No. 4, 617--631 (2018) Full Text: DOI
Abilov, V. A.; Abilova, F. V.; Kerimov, M. K. On sharp estimates of the convergence of double Fourier-Bessel series. (English. Russian original) Zbl 1384.42006 Comput. Math. Math. Phys. 57, No. 11, 1735-1740 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 11, 1765-1770 (2017). MSC: 42B05 41A25 42C10 PDFBibTeX XMLCite \textit{V. A. Abilov} et al., Comput. Math. Math. Phys. 57, No. 11, 1735--1740 (2017; Zbl 1384.42006); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 11, 1765--1770 (2017) Full Text: DOI
Abilov, M. V.; Kerimov, M. K.; Selimkhanov, E. V. On some estimates for best approximations of bivariate functions by Fourier-Jacobi sums in the mean. (English. Russian original) Zbl 1382.41023 Comput. Math. Math. Phys. 57, No. 10, 1559-1576 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 10, 1581-1599 (2017). MSC: 41A46 42A10 PDFBibTeX XMLCite \textit{M. V. Abilov} et al., Comput. Math. Math. Phys. 57, No. 10, 1559--1576 (2017; Zbl 1382.41023); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 10, 1581--1599 (2017) Full Text: DOI
Geng, Aicheng; You, Fucai; Zhao, Chunyuan; Shi, Shuhui; Wang, Jianhua; Huang, Xinfeng Some estimates for the error in Fourier-Legendre expansions of functions of one variable. (English) Zbl 1364.41004 Math. Notes 99, No. 5, 652-662 (2016). Reviewer: Trifce Sandev (Skopje) MSC: 41A10 41A46 42A10 PDFBibTeX XMLCite \textit{A. Geng} et al., Math. Notes 99, No. 5, 652--662 (2016; Zbl 1364.41004) Full Text: DOI
Abilov, V. A.; Abilova, F. V.; Kerimov, M. K. Sharp estimates for the convergence rate of Fourier-Bessel series. (English. Russian original) Zbl 1326.33006 Comput. Math. Math. Phys. 55, No. 6, 907-916 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 6, 917-927 (2015). MSC: 33C10 41A46 PDFBibTeX XMLCite \textit{V. A. Abilov} et al., Comput. Math. Math. Phys. 55, No. 6, 907--916 (2015; Zbl 1326.33006); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 6, 917--927 (2015) Full Text: DOI
Vakarchuk, S. B.; Shvachko, A. V. On the best approximation in the mean by algebraic polynomials with weight and the exact values of widths for the classes of functions. (English. Ukrainian original) Zbl 1309.41015 Ukr. Math. J. 65, No. 12, 1774-1792 (2014); translation from Ukr. Mat. Zh. 65, No. 12, 1604-1621 (2013). MSC: 41A46 PDFBibTeX XMLCite \textit{S. B. Vakarchuk} and \textit{A. V. Shvachko}, Ukr. Math. J. 65, No. 12, 1774--1792 (2014; Zbl 1309.41015); translation from Ukr. Mat. Zh. 65, No. 12, 1604--1621 (2013) Full Text: DOI
Booker, Andrew R.; Strömbergsson, Andreas; Then, Holger Bounds and algorithms for the \(K\)-Bessel function of imaginary order. (English) Zbl 1297.33006 LMS J. Comput. Math. 16, 78-108 (2013). MSC: 33C10 26D07 33F05 40H05 41A58 65D20 PDFBibTeX XMLCite \textit{A. R. Booker} et al., LMS J. Comput. Math. 16, 78--108 (2013; Zbl 1297.33006) Full Text: DOI