Osipenko, Konstantin Yu. Optimal recovery in weighted spaces with homogeneous weights. (English. Russian original) Zbl 1505.41020 Sb. Math. 213, No. 3, 385-411 (2022); translation from Mat. Sb. 213, No. 3, 111-138 (2022). MSC: 41A65 41A46 42B10 PDFBibTeX XMLCite \textit{K. Yu. Osipenko}, Sb. Math. 213, No. 3, 385--411 (2022; Zbl 1505.41020); translation from Mat. Sb. 213, No. 3, 111--138 (2022) Full Text: DOI
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
Israfilov, Daniyal M.; Testici, Ahmet Approximation problems in the Lebesgue spaces with variable exponent. (English) Zbl 1395.46023 J. Math. Anal. Appl. 459, No. 1, 112-123 (2018). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 46E30 41A10 PDFBibTeX XMLCite \textit{D. M. Israfilov} and \textit{A. Testici}, J. Math. Anal. Appl. 459, No. 1, 112--123 (2018; Zbl 1395.46023) Full Text: DOI
Romanyuk, A. S. On the problem of linear widths of the classes \(B_{p,\theta}^r\) of periodic functions of many variables. (English. Ukrainian original) Zbl 1309.41014 Ukr. Math. J. 66, No. 7, 1085-1098 (2014); translation from Ukr. Mat. Zh. 66, No. 7, 970-982 (2014). MSC: 41A46 42A10 PDFBibTeX XMLCite \textit{A. S. Romanyuk}, Ukr. Math. J. 66, No. 7, 1085--1098 (2014; Zbl 1309.41014); translation from Ukr. Mat. Zh. 66, No. 7, 970--982 (2014) Full Text: DOI
Trynin, A. Yu. Lagrange-Sturm-Liouville processes. (English. Russian original) Zbl 1491.41001 J. Math. Sci., New York 261, No. 3, 455-487 (2022); translation from Probl. Mat. Anal. 114, 81-108 (2022). Reviewer: Alexei Lukashov (Moskva) MSC: 41A05 41A35 PDFBibTeX XMLCite \textit{A. Yu. Trynin}, J. Math. Sci., New York 261, No. 3, 455--487 (2022; Zbl 1491.41001); translation from Probl. Mat. Anal. 114, 81--108 (2022) Full Text: DOI
Wiśniewska, Halina; Wójtowicz, Marek Approximations of the Korovkin type in Banach lattices. (English) Zbl 1312.41032 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 109, No. 1, 125-134 (2015). MSC: 41A36 41A65 46B42 47B65 PDFBibTeX XMLCite \textit{H. Wiśniewska} and \textit{M. Wójtowicz}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 109, No. 1, 125--134 (2015; Zbl 1312.41032) 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
Trynin, A. Yu. On the uniform approximation of functions of bounded variation by Lagrange interpolation polynomials with a matrix \({\mathcal L}_n^{(\alpha_n,\beta_n)}\) of Jacobi nodes. (English. Russian original) Zbl 1466.41002 Izv. Math. 84, No. 6, 1224-1249 (2020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 6, 197-222 (2020). Reviewer: Antonio López-Carmona (Granada) MSC: 41A05 PDFBibTeX XMLCite \textit{A. Yu. Trynin}, Izv. Math. 84, No. 6, 1224--1249 (2020; Zbl 1466.41002); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 6, 197--222 (2020) Full Text: DOI
Trynin, Aleksandr Yur’evich Convergence of the Lagrange-Sturm-Liouville processes for continuous functions of bounded variation. (Russian. English summary) Zbl 1463.41008 Vladikavkaz. Mat. Zh. 20, No. 4, 76-91 (2018). MSC: 41A05 41A58 94A12 PDFBibTeX XMLCite \textit{A. Y. Trynin}, Vladikavkaz. Mat. Zh. 20, No. 4, 76--91 (2018; Zbl 1463.41008) Full Text: DOI MNR
Trynin, A. Yu. Sufficient conditions for convergence of generalized sinc-approximations on segment. (English. Russian original) Zbl 1466.41003 J. Math. Sci., New York 255, No. 4, 513-533 (2021); translation from Probl. Mat. Anal. 108, 149-166 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 PDFBibTeX XMLCite \textit{A. Yu. Trynin}, J. Math. Sci., New York 255, No. 4, 513--533 (2021; Zbl 1466.41003); translation from Probl. Mat. Anal. 108, 149--166 (2021) Full Text: DOI
Trynin, A. Yu. On the convergence of generalizations of the sinc approximations on the Privalov-Chanturia class. (Russian. English summary) Zbl 1512.41003 Sib. Zh. Ind. Mat. 24, No. 3, 122-137 (2021); translation in J. Appl. Ind. Math. 15, No. 3, 531-542 (2021). MSC: 41A05 PDFBibTeX XMLCite \textit{A. Yu. Trynin}, Sib. Zh. Ind. Mat. 24, No. 3, 122--137 (2021; Zbl 1512.41003); translation in J. Appl. Ind. Math. 15, No. 3, 531--542 (2021) Full Text: DOI MNR
Dorai, Abderraouf; Chil, Elmiloud; Wójtowicz, Marek Korovkin-type approximation theory in Riesz spaces. (English) Zbl 1491.46005 Mediterr. J. Math. 15, No. 4, Paper No. 169, 1-14 (2018). MSC: 46A40 06F25 41A35 PDFBibTeX XMLCite \textit{A. Dorai} et al., Mediterr. J. Math. 15, No. 4, Paper No. 169, 1--14 (2018; Zbl 1491.46005) Full Text: DOI
Vasil’eva, Anastasia A. Kolmogorov widths of intersections of weighted Sobolev classes on an interval with conditions on the zeroth and first derivatives. (English. Russian original) Zbl 1460.41014 Izv. Math. 85, No. 1, 1-23 (2021); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 85, No. 1, 3-26 (2021). Reviewer: Yuri A. Farkov (Moskva) MSC: 41A46 PDFBibTeX XMLCite \textit{A. A. Vasil'eva}, Izv. Math. 85, No. 1, 1--23 (2021; Zbl 1460.41014); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 85, No. 1, 3--26 (2021) Full Text: DOI
Vasil’eva, A. A. Kolmogorov widths of the intersection of two finite-dimensional balls. (English. Russian original) Zbl 1479.41018 Russ. Math. 65, No. 7, 17-23 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 7, 23-29 (2021). Reviewer: Yuri A. Farkov (Moskva) MSC: 41A45 46B45 PDFBibTeX XMLCite \textit{A. A. Vasil'eva}, Russ. Math. 65, No. 7, 17--23 (2021; Zbl 1479.41018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 7, 23--29 (2021) Full Text: DOI arXiv
Khuromonov, Kh. M. On the best simultaneous approximation of functions in the Bergman space \(B_2\). (English. Russian original) Zbl 1526.42003 Russ. Math. 67, No. 5, 50-59 (2023); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 5, 71-81 (2023). MSC: 42A10 41A10 41A50 42A75 30H05 PDFBibTeX XMLCite \textit{Kh. M. Khuromonov}, Russ. Math. 67, No. 5, 50--59 (2023; Zbl 1526.42003); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 5, 71--81 (2023) Full Text: DOI
Vasil’eva, A. A. Kolmogorov widths of intersections of finite-dimensional balls. (English) Zbl 1507.41011 J. Complexity 72, Article ID 101649, 15 p. (2022). MSC: 41A46 46B20 PDFBibTeX XMLCite \textit{A. A. Vasil'eva}, J. Complexity 72, Article ID 101649, 15 p. (2022; Zbl 1507.41011) Full Text: DOI
Vasil’eva, A. A. Kolmogorov widths of the intersection of two finite-dimensional balls in a mixed norm. (English. Russian original) Zbl 1528.41072 Math. Notes 113, No. 4, 584-586 (2023); translation from Mat. Zametki 113, No. 4, 604-606 (2023). MSC: 41A46 PDFBibTeX XMLCite \textit{A. A. Vasil'eva}, Math. Notes 113, No. 4, 584--586 (2023; Zbl 1528.41072); translation from Mat. Zametki 113, No. 4, 604--606 (2023) Full Text: DOI
Vasil’eva, A. A. Bounds for the Kolmogorov widths of the Sobolev weighted classes with conditions on the zero and highest derivatives. (English) Zbl 1500.46029 Russ. J. Math. Phys. 29, No. 2, 249-279 (2022). MSC: 46E35 41A46 47B06 PDFBibTeX XMLCite \textit{A. A. Vasil'eva}, Russ. J. Math. Phys. 29, No. 2, 249--279 (2022; Zbl 1500.46029) Full Text: DOI