Sharapudinov, I. I. Sobolev-orthogonal systems of functions and some of their applications. (English. Russian original) Zbl 1434.42039 Russ. Math. Surv. 74, No. 4, 659-733 (2019); translation from Usp. Mat. Nauk 74, No. 4, 87-164 (2019). MSC: 42C05 33C45 41A25 41A10 PDFBibTeX XMLCite \textit{I. I. Sharapudinov}, Russ. Math. Surv. 74, No. 4, 659--733 (2019; Zbl 1434.42039); translation from Usp. Mat. Nauk 74, No. 4, 87--164 (2019) Full Text: DOI
Sharapudinov, I. I.; Sharapudinov, T. I.; Magomed-Kasumov, M. G. Approximation properties of repeated de la Vallée-Poussin means for piecewise smooth functions. (English. Russian original) Zbl 1426.42001 Sib. Math. J. 60, No. 3, 542-558 (2019); translation from Sib. Mat. Zh. 60, No. 3, 695-713 (2019). MSC: 42A10 41A17 PDFBibTeX XMLCite \textit{I. I. Sharapudinov} et al., Sib. Math. J. 60, No. 3, 542--558 (2019; Zbl 1426.42001); translation from Sib. Mat. Zh. 60, No. 3, 695--713 (2019) Full Text: DOI
Sharapudinov, I. I. Sobolev orthogonal polynomials generated by Jacobi and Legendre polynomials, and special series with the sticking property for their partial sums. (English. Russian original) Zbl 1416.33019 Sb. Math. 209, No. 9, 1390-1417 (2018); translation from Mat. Sb. 209, No. 9, 142-170 (2018). Reviewer: Alexei Lukashov (Saratov) MSC: 33C45 42C10 PDFBibTeX XMLCite \textit{I. I. Sharapudinov}, Sb. Math. 209, No. 9, 1390--1417 (2018; Zbl 1416.33019); translation from Mat. Sb. 209, No. 9, 142--170 (2018) Full Text: DOI
Sharapudinov, I. I. Approximation properties of Fourier series of Sobolev orthogonal polynomials with Jacobi weight and discrete masses. (English. Russian original) Zbl 1372.42024 Math. Notes 101, No. 4, 718-734 (2017); translation from Mat. Zametki 101, No. 4, 611-629 (2017). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C10 33C45 41A10 PDFBibTeX XMLCite \textit{I. I. Sharapudinov}, Math. Notes 101, No. 4, 718--734 (2017; Zbl 1372.42024); translation from Mat. Zametki 101, No. 4, 611--629 (2017) Full Text: DOI