Obaiys, Suzan J.; Eskhuvatov, Z. K.; Long, N. M. A. Nik A Chebyshev polynomial based quadrature for hypersingular integrals. (English) Zbl 1433.65036 Baskoro, Edy Tri (ed.) et al., The 5th international conference on research and education in mathematics, ICREM5, Bandung, Indonesia, October, 22–24, 2011. Melville, NY: American Institute of Physics (AIP). AIP Conf. Proc. 1450, 139-141 (2012). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{S. J. Obaiys} et al., AIP Conf. Proc. 1450, 139--141 (2012; Zbl 1433.65036) Full Text: DOI
Boyd, John P.; Sadiq, Burhan A. Computing the real roots of a Fourier series-plus-linear-polynomial: a Chebyshev companion matrix approach. (English) Zbl 1287.42001 Appl. Math. Comput. 219, No. 3, 819-826 (2012). MSC: 42A05 42A16 65H05 65T99 PDFBibTeX XMLCite \textit{J. P. Boyd} and \textit{B. A. Sadiq}, Appl. Math. Comput. 219, No. 3, 819--826 (2012; Zbl 1287.42001) Full Text: DOI
Kouba, Omran Partial fraction expansions for Newton’s and Halley’s iterations for square roots. (English) Zbl 1292.65044 Kyungpook Math. J. 52, No. 3, 347-357 (2012). MSC: 65H04 65E05 30C15 PDFBibTeX XMLCite \textit{O. Kouba}, Kyungpook Math. J. 52, No. 3, 347--357 (2012; Zbl 1292.65044) Full Text: DOI arXiv
Aglić Aljinović, Andrea; Pečarić, Josip; Tipurić-Spužević, Sanja Identities of Sonin-type and applications. (English) Zbl 1289.26042 Mat. Bilt. 36, 5-18 (2012). Reviewer: Jozsef Sandor (R-Jud. Harghita, Romania) MSC: 26D15 26D20 26D99 PDFBibTeX XMLCite \textit{A. Aglić Aljinović} et al., Mat. Bilt. 36, 5--18 (2012; Zbl 1289.26042)
Masjed-Jamei, Mohammad; Hussain, Nawab More results on a functional generalization of the Cauchy-Schwarz inequality. (English) Zbl 1279.26049 J. Inequal. Appl. 2012, Paper No. 239, 9 p. (2012). MSC: 26D15 26D20 PDFBibTeX XMLCite \textit{M. Masjed-Jamei} and \textit{N. Hussain}, J. Inequal. Appl. 2012, Paper No. 239, 9 p. (2012; Zbl 1279.26049) Full Text: DOI
Kumar, Devendra Approximation of entire function solutions of the Helmholtz equation having slow growth. (English) Zbl 1276.30045 J. Appl. Anal. 18, No. 2, 179-196 (2012). MSC: 30D15 30B10 30E25 30H10 30H20 PDFBibTeX XMLCite \textit{D. Kumar}, J. Appl. Anal. 18, No. 2, 179--196 (2012; Zbl 1276.30045) Full Text: DOI
Amdeberhan, Tewodros; Borwein, David; Borwein, Jonathan M.; Straub, Armin On formulas for \(\pi\) experimentally conjectured by Jauregui-Tsallis. (English) Zbl 1277.33006 J. Math. Phys. 53, No. 7, 073708, 15 p. (2012). Reviewer: Nele De Schepper (Gent) MSC: 33C20 11Y60 30D15 33C45 33C60 41A50 PDFBibTeX XMLCite \textit{T. Amdeberhan} et al., J. Math. Phys. 53, No. 7, 073708, 15 p. (2012; Zbl 1277.33006) Full Text: DOI
Bancoş, Marin A new homogeneous inequality and a few of its applications. (English) Zbl 1274.26079 Creat. Math. Inform. 21, No. 1, 21-26 (2012). MSC: 26D20 26D15 PDFBibTeX XMLCite \textit{M. Bancoş}, Creat. Math. Inform. 21, No. 1, 21--26 (2012; Zbl 1274.26079)
Anastassiou, George A. Grüss type and comparison of means inequalities on time scales. (English) Zbl 1273.26039 Commun. Appl. Anal. 16, No. 4, 541-564 (2012). MSC: 26E70 26E60 26D15 PDFBibTeX XMLCite \textit{G. A. Anastassiou}, Commun. Appl. Anal. 16, No. 4, 541--564 (2012; Zbl 1273.26039)
Akdemir, Ahmet Ocak; Özdemir, M. Emin; Varošanec, Sanja On some inequalities for \(h\)-concave functions. (English) Zbl 1255.26007 Math. Comput. Modelling 55, No. 3-4, 746-753 (2012). MSC: 26D15 26A51 PDFBibTeX XMLCite \textit{A. O. Akdemir} et al., Math. Comput. Modelling 55, No. 3--4, 746--753 (2012; Zbl 1255.26007) Full Text: DOI
Dimca, Alexandru; Sticlaru, Gabriel On the syzygies and Alexander polynomials of nodal hypersurfaces. (English) Zbl 1435.14010 Math. Nachr. 285, No. 17-18, 2120-2128 (2012). MSC: 14C30 13D40 32S35 13D02 PDFBibTeX XMLCite \textit{A. Dimca} and \textit{G. Sticlaru}, Math. Nachr. 285, No. 17--18, 2120--2128 (2012; Zbl 1435.14010) Full Text: DOI arXiv
Szabłowski, Paweł J. On summable, positive Poisson-Mehler kernels built of Al-Salam-Chihara and related polynomials. (English) Zbl 1266.33018 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 15, No. 3, Paper No. 1250014, 18 p. (2012). Reviewer: Roelof Koekoek (Delft) MSC: 33D45 05A30 42A16 60E05 PDFBibTeX XMLCite \textit{P. J. Szabłowski}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 15, No. 3, Paper No. 1250014, 18 p. (2012; Zbl 1266.33018) Full Text: DOI arXiv
Gülsu, Mustafa; Öztürk, Yalçın On the numerical solution of linear Fredholm-Volterra integro differential equations with piecewise intervals. (English) Zbl 1258.65108 Appl. Appl. Math. 7, No. 2, 556-570 (2012). MSC: 65R20 45A05 45J05 PDFBibTeX XMLCite \textit{M. Gülsu} and \textit{Y. Öztürk}, Appl. Appl. Math. 7, No. 2, 556--570 (2012; Zbl 1258.65108) Full Text: Link
Berisha, N. Sh.; Berisha, F. M. Approximating classes of functions defined by operators of differentiation or operators of generalised translation by means of algebraic polynomials. (English) Zbl 1254.41016 Int. J. Math. Anal., Ruse 6, No. 53-56, 2709-2727 (2012). MSC: 41A35 41A50 42A16 PDFBibTeX XMLCite \textit{N. Sh. Berisha} and \textit{F. M. Berisha}, Int. J. Math. Anal., Ruse 6, No. 53--56, 2709--2727 (2012; Zbl 1254.41016) Full Text: arXiv Link
Qu, Yan; Zhai, Shuai Estimates of generalized Chebyshev function on \(\mathrm{GL}_m\). (English) Zbl 1278.11059 Front. Math. China 7, No. 5, 883-894 (2012). MSC: 11F70 11M26 11M41 PDFBibTeX XMLCite \textit{Y. Qu} and \textit{S. Zhai}, Front. Math. China 7, No. 5, 883--894 (2012; Zbl 1278.11059) Full Text: DOI
Kir’yatskiĭ, E. G. Some properties of functions with nonzero order \(n\) divided difference. (English. Russian original) Zbl 1291.30081 Sib. Math. J. 53, No. 3, 477-489 (2012); translation from Sib. Mat. Zh. 53, No. 3, 597-612 (2012). MSC: 30C45 30B10 41A50 PDFBibTeX XMLCite \textit{E. G. Kir'yatskiĭ}, Sib. Math. J. 53, No. 3, 477--489 (2012; Zbl 1291.30081); translation from Sib. Mat. Zh. 53, No. 3, 597--612 (2012) Full Text: DOI
Agahi, Hamzeh; Eslami, Esfandiar; Mohammadpour, Adel On non-additive probabilistic inequalities of Hölder-type. (English) Zbl 1404.28025 Result. Math. 61, No. 1-2, 179-194 (2012). MSC: 28E10 26D15 PDFBibTeX XMLCite \textit{H. Agahi} et al., Result. Math. 61, No. 1--2, 179--194 (2012; Zbl 1404.28025) Full Text: DOI
Farjudian, Amin Polynomial-time solution of initial value problems using polynomial enclosures. (English) Zbl 1362.03039 Ong, Luke (ed.) et al., Logic, language, information and computation. 19th international workshop, WoLLIC 2012, Buenos Aires, Argentina, September 3–6, 2012. Proceedings. Berlin: Springer (ISBN 978-3-642-32620-2/pbk). Lecture Notes in Computer Science 7456, 232-245 (2012). MSC: 03D78 03F60 34A12 68Q25 PDFBibTeX XMLCite \textit{A. Farjudian}, Lect. Notes Comput. Sci. 7456, 232--245 (2012; Zbl 1362.03039) Full Text: DOI
Dragomir, S. S. New Grüss’ type inequalities for functions of bounded variation and applications. (English) Zbl 1250.26022 Appl. Math. Lett. 25, No. 10, 1475-1479 (2012). MSC: 26D15 26A45 PDFBibTeX XMLCite \textit{S. S. Dragomir}, Appl. Math. Lett. 25, No. 10, 1475--1479 (2012; Zbl 1250.26022) Full Text: DOI
Jankov, D.; Pogány, T. K. Andreev-Korkin identity, Saigo fractional integration operator and Lip\(_L(\alpha)\) functions. (English) Zbl 1256.26005 J. Math. Phys. Anal. Geom. 8, No. 2, 144-157 (2012). MSC: 26A33 26D15 26A16 26D10 PDFBibTeX XMLCite \textit{D. Jankov} and \textit{T. K. Pogány}, J. Math. Phys. Anal. Geom. 8, No. 2, 144--157 (2012; Zbl 1256.26005)
Vindas, Jasson Chebyshev estimates for Beurling generalized prime numbers. I. (English) Zbl 1266.11109 J. Number Theory 132, No. 10, 2371-2376 (2012). Reviewer: Jan-Christoph Schlage-Puchta (Gent) MSC: 11N80 11N05 11M41 PDFBibTeX XMLCite \textit{J. Vindas}, J. Number Theory 132, No. 10, 2371--2376 (2012; Zbl 1266.11109) Full Text: DOI arXiv
Anastassiou, George A. Multivariate inequalities based on Sobolev representations. (English) Zbl 1248.26021 Appl. Anal. 91, No. 5, 993-1017 (2012). MSC: 26D10 26D15 PDFBibTeX XMLCite \textit{G. A. Anastassiou}, Appl. Anal. 91, No. 5, 993--1017 (2012; Zbl 1248.26021) Full Text: DOI
Xiang, Shuhuang On error bounds for orthogonal polynomial expansions and Gauss-type quadrature. (English) Zbl 1263.65027 SIAM J. Numer. Anal. 50, No. 3, 1240-1263 (2012). Reviewer: Ana-Maria Acu (Sibiu) MSC: 65D32 65D20 42C05 33C45 33F05 41A55 PDFBibTeX XMLCite \textit{S. Xiang}, SIAM J. Numer. Anal. 50, No. 3, 1240--1263 (2012; Zbl 1263.65027) Full Text: DOI
Khodakarami, M. I.; Khaji, N.; Ahmadi, M. T. Modeling transient elastodynamic problems using a novel semi-analytical method yielding decoupled partial differential equations. (English) Zbl 1243.74047 Comput. Methods Appl. Mech. Eng. 213-216, 183-195 (2012). MSC: 74H10 74B05 74H15 65N99 PDFBibTeX XMLCite \textit{M. I. Khodakarami} et al., Comput. Methods Appl. Mech. Eng. 213--216, 183--195 (2012; Zbl 1243.74047) Full Text: DOI
Chen, Peter Y. P.; Malomed, Boris A. Lanczos-Chebyshev pseudospectral methods for wave-propagation problems. (English) Zbl 1246.65184 Math. Comput. Simul. 82, No. 6, 1056-1068 (2012). MSC: 65M70 35Q55 65Y20 35Q51 PDFBibTeX XMLCite \textit{P. Y. P. Chen} and \textit{B. A. Malomed}, Math. Comput. Simul. 82, No. 6, 1056--1068 (2012; Zbl 1246.65184) Full Text: DOI
Otachel, Zdzisław Grüss type inequalities in normed spaces. (English) Zbl 1259.26030 J. Math. Anal. Appl. 393, No. 1, 14-24 (2012). Reviewer: Sanja Varošanec (Zagreb) MSC: 26D15 26D10 PDFBibTeX XMLCite \textit{Z. Otachel}, J. Math. Anal. Appl. 393, No. 1, 14--24 (2012; Zbl 1259.26030) Full Text: DOI
Gülsu, Mustafa; Öztürk, Yalçın; Sezer, Mehmet A new Chebyshev polynomial approximation for solving delay differential equations. (English) Zbl 1245.65081 J. Difference Equ. Appl. 18, No. 6, 1043-1065 (2012). MSC: 65L03 65L10 34K10 34K28 65L60 PDFBibTeX XMLCite \textit{M. Gülsu} et al., J. Difference Equ. Appl. 18, No. 6, 1043--1065 (2012; Zbl 1245.65081) Full Text: DOI
Keller, Paweł A practical algorithm for computing Cauchy principal value integrals of oscillatory functions. (English) Zbl 1246.65257 Appl. Math. Comput. 218, No. 9, 4988-5001 (2012). Reviewer: Kai Diethelm (Braunschweig) MSC: 65T40 65D32 42A16 PDFBibTeX XMLCite \textit{P. Keller}, Appl. Math. Comput. 218, No. 9, 4988--5001 (2012; Zbl 1246.65257) Full Text: DOI
Rauhut, Holger; Ward, Rachel Sparse Legendre expansions via \(\ell_1\)-minimization. (English) Zbl 1239.65018 J. Approx. Theory 164, No. 5, 517-533 (2012). Reviewer: Manfred Tasche (Rostock) MSC: 65D20 42C10 94A20 65D05 33C45 PDFBibTeX XMLCite \textit{H. Rauhut} and \textit{R. Ward}, J. Approx. Theory 164, No. 5, 517--533 (2012; Zbl 1239.65018) Full Text: DOI arXiv
Messner, Matthias; Schanz, Martin; Darve, Eric Fast directional multilevel summation for oscillatory kernels based on Chebyshev interpolation. (English) Zbl 1239.65002 J. Comput. Phys. 231, No. 4, 1175-1196 (2012). MSC: 65B10 65D05 PDFBibTeX XMLCite \textit{M. Messner} et al., J. Comput. Phys. 231, No. 4, 1175--1196 (2012; Zbl 1239.65002) Full Text: DOI
Čuljak, V. Schur-convexity of the weighted Čebyšev functional. II. (English) Zbl 1242.26026 J. Math. Inequal. 6, No. 1, 141-147 (2012). MSC: 26D15 26D99 PDFBibTeX XMLCite \textit{V. Čuljak}, J. Math. Inequal. 6, No. 1, 141--147 (2012; Zbl 1242.26026) Full Text: DOI Link
Orel, Bojan; Perne, Andrej Computations with half-range Chebyshev polynomials. (English) Zbl 1242.65044 J. Comput. Appl. Math. 236, No. 7, 1753-1765 (2012). Reviewer: Manfred Tasche (Rostock) MSC: 65D20 33C47 42C10 65D32 33F05 65D25 PDFBibTeX XMLCite \textit{B. Orel} and \textit{A. Perne}, J. Comput. Appl. Math. 236, No. 7, 1753--1765 (2012; Zbl 1242.65044) Full Text: DOI
Belbachir, Hacène; Rahmani, Mourad An integral inequality for \(n\)-convex functions. (English) Zbl 1238.26018 Math. Inequal. Appl. 15, No. 1, 117-126 (2012). MSC: 26D15 26D10 33C45 PDFBibTeX XMLCite \textit{H. Belbachir} and \textit{M. Rahmani}, Math. Inequal. Appl. 15, No. 1, 117--126 (2012; Zbl 1238.26018) Full Text: DOI
Qian, Tao; Sprößig, Wolfgang; Wang, Jinxun Adaptive Fourier decomposition of functions in quaternionic Hardy spaces. (English) Zbl 1254.30086 Math. Methods Appl. Sci. 35, No. 1, 43-64 (2012). MSC: 30G35 30H10 41A20 41A25 41A50 46E20 PDFBibTeX XMLCite \textit{T. Qian} et al., Math. Methods Appl. Sci. 35, No. 1, 43--64 (2012; Zbl 1254.30086) Full Text: DOI
Baricz, Árpád; Jankov, Dragana; Pogány, Tibor K. Turán type inequalities for Krätzel functions. (English) Zbl 1235.33003 J. Math. Anal. Appl. 388, No. 2, 716-724 (2012). MSC: 33C10 26D15 PDFBibTeX XMLCite \textit{Á. Baricz} et al., J. Math. Anal. Appl. 388, No. 2, 716--724 (2012; Zbl 1235.33003) Full Text: DOI arXiv
Rutka, Przemysław; Smarzewski, Ryszard Multivariate inequalities of Chernoff type for classical orthogonal polynomials. (English) Zbl 1236.33022 J. Math. Anal. Appl. 388, No. 1, 78-85 (2012). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C50 33C45 26D15 41A10 41A50 41A63 PDFBibTeX XMLCite \textit{P. Rutka} and \textit{R. Smarzewski}, J. Math. Anal. Appl. 388, No. 1, 78--85 (2012; Zbl 1236.33022) Full Text: DOI
Potapov, Mikhail K.; Berisha, Faton M. On Jackson’s theorem for the modulus of smoothness determined by a nonsymmetric generalised shift operator. arXiv:1209.1273 Preprint, arXiv:1209.1273 [math.FA] (2012). MSC: 41A35 41A50 42A16 BibTeX Cite \textit{M. K. Potapov} and \textit{F. M. Berisha}, ``On Jackson's theorem for the modulus of smoothness determined by a nonsymmetric generalised shift operator'', Preprint, arXiv:1209.1273 [math.FA] (2012) Full Text: arXiv OA License
Potapov, Mikhail K.; Berisha, Faton M. On a connection between a generalised modulus of smoothness of order \(r\) and the best approximation by algebraic polynomials. arXiv:1208.6590 Preprint, arXiv:1208.6590 [math.FA] (2012). MSC: 41A35 41A50 42A16 BibTeX Cite \textit{M. K. Potapov} and \textit{F. M. Berisha}, ``On a connection between a generalised modulus of smoothness of order~$r$ and the best approximation by algebraic polynomials'', Preprint, arXiv:1208.6590 [math.FA] (2012) Full Text: arXiv OA License
Potapov, Mikhail K.; Berisha, Faton M. A theorem on approximation by algebraic polynomials of functions with given generalised modulus of smoothness. arXiv:1208.6040 Preprint, arXiv:1208.6040 [math.FA] (2012). MSC: 41A35 41A50 42A16 BibTeX Cite \textit{M. K. Potapov} and \textit{F. M. Berisha}, ``A theorem on approximation by algebraic polynomials of functions with given generalised modulus of smoothness'', Preprint, arXiv:1208.6040 [math.FA] (2012) Full Text: arXiv OA License