Castro, Mario H.; Jordão, Thaís; Peron, Ana P. Super-exponential decay rates for eigenvalues and singular values of integral operators on the sphere. (English) Zbl 1470.45001 J. Comput. Appl. Math. 364, Article ID 112334, 11 p. (2020). MSC: 45C05 41A36 42A82 45M05 45P05 47A75 PDFBibTeX XMLCite \textit{M. H. Castro} et al., J. Comput. Appl. Math. 364, Article ID 112334, 11 p. (2020; Zbl 1470.45001) Full Text: DOI arXiv
Bougoffa, Lazhar; Rach, Randolph C. Note on the paper: a table of definite integrals from the marriage of power and Fourier series. (English) Zbl 1431.42016 Sci., Ser. A, Math. Sci. (N.S.) 28(2017-2018), 23-27 (2018). MSC: 42B05 41A58 26B20 PDFBibTeX XMLCite \textit{L. Bougoffa} and \textit{R. C. Rach}, Sci., Ser. A, Math. Sci. (N.S.) 28, 23--27 (2018; Zbl 1431.42016) Full Text: Link
Zhou, Fengying; Xu, Xiaoyong Numerical approximation of definite integration by using Legendre wavelets and operator matrix. (Chinese. English summary) Zbl 1349.65102 Acta Math. Appl. Sin. 38, No. 5, 862-872 (2015). MSC: 65D32 41A55 65T60 41A63 PDFBibTeX XMLCite \textit{F. Zhou} and \textit{X. Xu}, Acta Math. Appl. Sin. 38, No. 5, 862--872 (2015; Zbl 1349.65102)
Barbosa, Victor S.; Menegatto, Valdir A. Generalized convolution roots of positive definite kernels on complex spheres. (English) Zbl 1314.42008 SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 014, 13 p. (2015). MSC: 42A85 42A82 33C55 41A35 41A63 PDFBibTeX XMLCite \textit{V. S. Barbosa} and \textit{V. A. Menegatto}, SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 014, 13 p. (2015; Zbl 1314.42008) Full Text: DOI arXiv EMIS
El-Henawy, Ibrahim; Abdel-Raouf, Osama; Abdelbaset, Mohamed Improved harmony search algorithm with chaos for solving definite integral. (English) Zbl 1317.65068 Int. J. Oper. Res. 21, No. 2, 252-261 (2014). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{I. El-Henawy} et al., Int. J. Oper. Res. 21, No. 2, 252--261 (2014; Zbl 1317.65068) Full Text: DOI
Zadorin, A. I.; Zadorin, N. A. An analogue of the Newton-Cotes formula with four nodes for a function with a boundary-layer component. (Russian, English) Zbl 1299.65040 Sib. Zh. Vychisl. Mat. 16, No. 4, 313-323 (2013); translation in Numer. Analysis Appl. 6, No. 4, 268-278 (2013). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{A. I. Zadorin} and \textit{N. A. Zadorin}, Sib. Zh. Vychisl. Mat. 16, No. 4, 313--323 (2013; Zbl 1299.65040); translation in Numer. Analysis Appl. 6, No. 4, 268--278 (2013) Full Text: DOI
Menegatto, V. A.; Oliveira, C. P. Eigenvalue and singular value estimates for integral operators: a unifying approach. (English) Zbl 1260.45002 Math. Nachr. 285, No. 17-18, 2222-2232 (2012). Reviewer: Kai Diethelm (Braunschweig) MSC: 45C05 47B38 47G10 42A82 47A75 45P05 41A36 45M05 PDFBibTeX XMLCite \textit{V. A. Menegatto} and \textit{C. P. Oliveira}, Math. Nachr. 285, No. 17--18, 2222--2232 (2012; Zbl 1260.45002) Full Text: DOI
Jordão, T.; Menegatto, V. A. Reproducing properties of differentiable Mercer-like kernels on the sphere. (English) Zbl 1255.45001 Numer. Funct. Anal. Optim. 33, No. 10, 1221-1243 (2012). MSC: 45C05 42A82 45P05 43A35 41A99 PDFBibTeX XMLCite \textit{T. Jordão} and \textit{V. A. Menegatto}, Numer. Funct. Anal. Optim. 33, No. 10, 1221--1243 (2012; Zbl 1255.45001) Full Text: DOI
Zadorin, A. I.; Zadorin, N. A. Quadrature formulas for functions with a boundary-layer component. (Russian, English) Zbl 1249.65053 Zh. Vychisl. Mat. Mat. Fiz. 51, No. 11, 1952-1962 (2011); translation in Comput. Math. Math. Phys. 51, No. 11, 1837-1846 (2011). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{A. I. Zadorin} and \textit{N. A. Zadorin}, Zh. Vychisl. Mat. Mat. Fiz. 51, No. 11, 1952--1962 (2011; Zbl 1249.65053); translation in Comput. Math. Math. Phys. 51, No. 11, 1837--1846 (2011) Full Text: DOI
López, José L.; Pagola, Pedro J. A family of integrals analytically solvable. (English) Zbl 1242.33025 Int. J. Comput. Math. 88, No. 13, 2721-2727 (2011). MSC: 33F05 41A30 44A15 33B15 PDFBibTeX XMLCite \textit{J. L. López} and \textit{P. J. Pagola}, Int. J. Comput. Math. 88, No. 13, 2721--2727 (2011; Zbl 1242.33025) Full Text: DOI HAL
Nie, Liming; Zhou, Yongquan Solving numerical integration based on artificial fish-swarm algorithm. (Chinese. English summary) Zbl 1212.65101 Math. Pract. Theory 39, No. 19, 127-134 (2009). MSC: 65D32 68T20 41A55 PDFBibTeX XMLCite \textit{L. Nie} and \textit{Y. Zhou}, Math. Pract. Theory 39, No. 19, 127--134 (2009; Zbl 1212.65101)
Cheney, Ward; Light, Will A course in approximation theory. (English) Zbl 1167.41001 Graduate Studies in Mathematics 101. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4798-5/hbk). xiv, 359 p. (2009). Reviewer: Radu Păltănea (Braşov) MSC: 41-01 41A05 41A10 41A15 41A30 41A35 41A63 42A38 42A82 42B35 42C40 PDFBibTeX XMLCite \textit{W. Cheney} and \textit{W. Light}, A course in approximation theory. Providence, RI: American Mathematical Society (AMS) (2009; Zbl 1167.41001)
Liesen, Jörg When is the adjoint of a matrix a low degree rational function in the matrix? (English) Zbl 1160.15013 SIAM J. Matrix Anal. Appl. 29, No. 4, 1171-1180 (2008). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 15A21 30C15 65F10 15B57 41A05 41A20 PDFBibTeX XMLCite \textit{J. Liesen}, SIAM J. Matrix Anal. Appl. 29, No. 4, 1171--1180 (2008; Zbl 1160.15013) Full Text: DOI Link
Kálovics, F. Two improved zone methods. (English) Zbl 1164.65327 Miskolc Math. Notes 8, No. 2, 169-179 (2007). MSC: 65D32 41A55 65K05 90C30 PDFBibTeX XMLCite \textit{F. Kálovics}, Miskolc Math. Notes 8, No. 2, 169--179 (2007; Zbl 1164.65327)
Berrut, Jean-Paul A circular interpretation of the Euler-Maclaurin formula. (English) Zbl 1086.65002 J. Comput. Appl. Math. 189, No. 1-2, 375-386 (2006). MSC: 65B15 65D32 41A55 PDFBibTeX XMLCite \textit{J.-P. Berrut}, J. Comput. Appl. Math. 189, No. 1--2, 375--386 (2006; Zbl 1086.65002) Full Text: DOI
Fundak, L.; Tsegelyk, H. Formulas of magorant type for approximate definite integration. (Ukrainian. English summary) Zbl 1091.65025 Visn. L’viv. Univ., Ser. Prykl. Mat. Inform. 2005, No. 10, 36-40 (2005). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{L. Fundak} and \textit{H. Tsegelyk}, Visn. L'viv. Univ., Ser. Prykl. Mat. Inform. 2005, No. 10, 36--40 (2005; Zbl 1091.65025)
Kálovics, Ferenc Zones and integrals. (English) Zbl 1075.65036 J. Comput. Appl. Math. 182, No. 2, 243-251 (2005). Reviewer: Kai Diethelm (Braunschweig) MSC: 65D32 41A55 65G30 PDFBibTeX XMLCite \textit{F. Kálovics}, J. Comput. Appl. Math. 182, No. 2, 243--251 (2005; Zbl 1075.65036) Full Text: DOI
Opfer, Roland Multiscale kernels. (English) Zbl 1097.65553 Aachen: Shaker Verlag; Göttingen: Univ. Göttingen, Mathematisch-Naturwissenschaftliche Fakultät (Diss.) (ISBN 3-8322-3521-3/pbk). vi, 112 p. (2004). MSC: 65T60 41A65 42C40 PDFBibTeX XMLCite \textit{R. Opfer}, Multiscale kernels. Aachen: Shaker Verlag; Göttingen: Univ. Göttingen, Mathematisch-Naturwissenschaftliche Fakultät (Diss.) (2004; Zbl 1097.65553) Full Text: Link
Tarvainen, Kyösti How to make sure that the error in the \(f(x) dx\) term is insignificant when setting up definite integrals. (English) Zbl 1027.26500 Int. J. Math. Educ. Sci. Technol. 29, No. 3, 359-370 (1998). MSC: 26A06 41A55 65D30 PDFBibTeX XMLCite \textit{K. Tarvainen}, Int. J. Math. Educ. Sci. Technol. 29, No. 3, 359--370 (1998; Zbl 1027.26500) Full Text: DOI
Tsuji, Kumiko Round-off error of numerical integral by a finite Chebyshev series in a floating-point number system. (English) Zbl 0881.65012 Bainov, D. (ed.), Proceedings of the sixth international colloquium on differential equations, Plovdiv, Bulgaria, August 18–23, 1995. Zeist: VSP. 289-296 (1996). MSC: 65D32 65G50 41A80 41A55 PDFBibTeX XMLCite \textit{K. Tsuji}, in: Proceedings of the sixth international colloquium on differential equations, Plovdiv, Bulgaria, August 18--23, 1995. Zeist: VSP. 289--296 (1996; Zbl 0881.65012)
Ergenç, Tanil; Demiralp, Metin Formulation of some Gaussian integrals over \(\mathbb{R}^ n\) via generating functions. (English) Zbl 0828.65020 Int. J. Comput. Math. 54, No. 3-4, 239-248 (1994). MSC: 65D32 41A55 41A63 PDFBibTeX XMLCite \textit{T. Ergenç} and \textit{M. Demiralp}, Int. J. Comput. Math. 54, No. 3--4, 239--248 (1994; Zbl 0828.65020) Full Text: DOI
Takev, Milko D. On probable error of the Monte Carlo method for numerical integration. (English) Zbl 0830.65016 Math. Balk., New Ser. 6, No. 3, 231-235 (1992). MSC: 65D32 65C05 41A55 PDFBibTeX XMLCite \textit{M. D. Takev}, Math. Balk., New Ser. 6, No. 3, 231--235 (1992; Zbl 0830.65016)
Hunter, D. B. The numerical evaluation of definite integrals affected by singularities near the interval of integration. (English) Zbl 0741.65017 Numerical integration. Recent developments, software and applications, Proc. NATO Adv. Res. Workshop, Bergen/Norw. 1991, NATO ASI Ser., Ser. C 357, 111-120 (1992). MSC: 65D32 41A55 30E20 PDFBibTeX XMLCite \textit{D. B. Hunter}, in: Numerical integration. Recent developments, software and applications. Proceedings of the NATO advanced research workshop, Bergen, Norway, June 17-22, 1991. . 111--120 (1992; Zbl 0741.65017)
Evans, James D. Applications of complex variable residue theory to the evaluation of irrational definite integrals. I. (English) Zbl 0706.65012 Appl. Math. Comput. 39, No. 2, 145-157 (1990). Reviewer: L.Gatteschi MSC: 65D32 65D20 41A55 30E20 PDFBibTeX XMLCite \textit{J. D. Evans}, Appl. Math. Comput. 39, No. 2, 145--157 (1990; Zbl 0706.65012) Full Text: DOI
Schock, Eberhard Pointwise rational approximation and iterative methods for ill-posed problems. (English) Zbl 0664.65053 Numer. Math. 54, No. 1, 91-103 (1988). Reviewer: H.Engl MSC: 65J10 65R20 45B05 47A50 41A27 PDFBibTeX XMLCite \textit{E. Schock}, Numer. Math. 54, No. 1, 91--103 (1988; Zbl 0664.65053) Full Text: DOI EuDML
Ioakimidis, N. I.; Pitta, M. S. Remarks on the Gaussian quadrature rule for finite-part integrals with a second-order singularity. (English) Zbl 0646.65018 Comput. Methods Appl. Mech. Eng. 69, No. 3, 325-343 (1988). MSC: 65D32 65R20 30E20 41A55 74R05 45E05 PDFBibTeX XMLCite \textit{N. I. Ioakimidis} and \textit{M. S. Pitta}, Comput. Methods Appl. Mech. Eng. 69, No. 3, 325--343 (1988; Zbl 0646.65018) Full Text: DOI
Katsnel’son, V. Eh. Methods of J-theory in continuous interpolation problems of analysis. Part I. Transl. from the Russian by T. Ando. (English) Zbl 0559.42001 Sapporo, Japan: Hokkaido University, Research Institute of Applied Electricity, Division of Applied Mathematics. IX, 164 p. (1985). Reviewer: N.M.Zobin MSC: 42-02 42A82 30E05 41A05 PDFBibTeX XML
Allasia, Giampietro; Criseri Tira, Bruna Approximations bilatérales de quelques transcendantes élémentaire. (French) Zbl 0574.65008 Atti Accad. Sci. Lett. Arti Palermo, V. Ser., Parte I 2(1981/82), 345-357 (1985). Reviewer: R.Wegmann MSC: 65D20 65D32 41A29 41A55 26A09 PDFBibTeX XML
Ogirko, O. V. Non-linear method of approximative calculation of definite integrals. (Russian) Zbl 0439.65015 Mat. Metody Fiz.-Mekh. Polya 11, 28-31 (1980). MSC: 65D32 30B70 65B05 65-04 68Q25 41A55 PDFBibTeX XMLCite \textit{O. V. Ogirko}, Mat. Metody Fiz.-Mekh. Polya 11, 28--31 (1980; Zbl 0439.65015)
Wall, H. S. Analytic theory of continued fractions. (English) Zbl 0035.03601 New York: D. van Nostrand Company, Inc. xiii, 433 pp. (1948). Reviewer: Josef Mall (Pfarrkirchen) MSC: 30B70 30-01 40A15 40-01 26A42 41A21 PDFBibTeX XML
Meissel, E. Contributions to the theory of series. (Beiträge zur Theorie der Reihen.) (German) JFM 07.0124.01 Pr. Kiel (1875). Reviewer: Hamburger, Dr. (Berlin) MSC: 33B20 41A58 65D30 PDFBibTeX XML