Damelin, Steven B.; Diethelm, Kai An analytic and numerical analysis of weighted singular Cauchy integrals with exponential weights on \(\mathbb{R}\). (English) Zbl 1505.41021 Numer. Funct. Anal. Optim. 43, No. 13, 1538-1577 (2022). MSC: 41A81 41A55 65D30 65D32 PDFBibTeX XMLCite \textit{S. B. Damelin} and \textit{K. Diethelm}, Numer. Funct. Anal. Optim. 43, No. 13, 1538--1577 (2022; Zbl 1505.41021) Full Text: DOI arXiv
Abd-el-Malek, Mina B.; Hanna, Samer S. The Hilbert transform of cubic splines. (English) Zbl 1450.65178 Commun. Nonlinear Sci. Numer. Simul. 80, Article ID 104983, 10 p. (2020). MSC: 65R10 65D07 PDFBibTeX XMLCite \textit{M. B. Abd-el-Malek} and \textit{S. S. Hanna}, Commun. Nonlinear Sci. Numer. Simul. 80, Article ID 104983, 10 p. (2020; Zbl 1450.65178) Full Text: DOI
Capobianco, Maria Rosaria; Criscuolo, Giuliana Convergence and stability of a new quadrature rule for evaluating Hilbert transform. (English) Zbl 1262.65194 Numer. Algorithms 60, No. 4, 579-592 (2012). Reviewer: Ivan Secrieru (Chişinău) MSC: 65R10 65D32 33C45 44A15 41A55 PDFBibTeX XMLCite \textit{M. R. Capobianco} and \textit{G. Criscuolo}, Numer. Algorithms 60, No. 4, 579--592 (2012; Zbl 1262.65194) Full Text: DOI
Aghigh, Kamal; Masjed-Jamei, M. A note on finite quadrature rules with a kind of Freud weight function. (English) Zbl 1180.65030 Math. Probl. Eng. 2009, Article ID 421546, 8 p. (2009). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{K. Aghigh} and \textit{M. Masjed-Jamei}, Math. Probl. Eng. 2009, Article ID 421546, 8 p. (2009; Zbl 1180.65030) Full Text: DOI EuDML
Damelin, S. B.; Diethelm, K. Approximation methods and stability of singular integral equations for Freud exponential weights on the line. (English) Zbl 1085.41020 J. Integral Equations Appl. 16, No. 3, 273-292 (2004). Reviewer: Rudolf Wegmann (Garching) MSC: 41A55 65R20 45E05 65D32 PDFBibTeX XMLCite \textit{S. B. Damelin} and \textit{K. Diethelm}, J. Integral Equations Appl. 16, No. 3, 273--292 (2004; Zbl 1085.41020) Full Text: DOI
Damelin, S. B. Marcinkiewicz-Zygmund inequalities and the numerical approximation of singular integrals for exponential weights: Methods, results and open problems, some new, some old. (English) Zbl 1024.65021 J. Complexity 19, No. 3, 406-415 (2003). MSC: 65D32 41A55 26D15 PDFBibTeX XMLCite \textit{S. B. Damelin}, J. Complexity 19, No. 3, 406--415 (2003; Zbl 1024.65021) Full Text: DOI
Damelin, S. B.; Diethelm, Kai Boundedness and uniform numerical approximation of the weighted Hilbert transform on the real line. (English) Zbl 0983.41015 Numer. Funct. Anal. Optimization 22, No. 1-2, 13-54 (2001). Reviewer: Luigi Gatteschi (Torino) MSC: 41A55 65D30 65R10 PDFBibTeX XMLCite \textit{S. B. Damelin} and \textit{K. Diethelm}, Numer. Funct. Anal. Optim. 22, No. 1--2, 13--54 (2001; Zbl 0983.41015) Full Text: DOI