Osipenko, K. Yu. Optimal recovery and generalized Carlson inequality for weights with symmetry properties. (English) Zbl 07805471 J. Complexity 81, Article ID 101807, 35 p. (2024). MSC: 41A65 41A46 49N30 PDFBibTeX XMLCite \textit{K. Yu. Osipenko}, J. Complexity 81, Article ID 101807, 35 p. (2024; Zbl 07805471) Full Text: DOI arXiv
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
Osipenko, K. Yu. Optimal recovery of linear functionals and operators. (English) Zbl 1374.41058 Commun. Appl. Math. Comput. 30, No. 4, 459-481 (2016). MSC: 41A65 PDFBibTeX XMLCite \textit{K. Yu. Osipenko}, Commun. Appl. Math. Comput. 30, No. 4, 459--481 (2016; Zbl 1374.41058) Full Text: DOI
Osipenko, K. Yu. Optimal recovery of linear operators in non-Euclidean metrics. (English. Russian original) Zbl 1312.41044 Sb. Math. 205, No. 10, 1442-1472 (2014); translation from Mat. Sb. 205, No. 10, 77-106 (2014). MSC: 41A65 41A46 49N30 PDFBibTeX XMLCite \textit{K. Yu. Osipenko}, Sb. Math. 205, No. 10, 1442--1472 (2014; Zbl 1312.41044); translation from Mat. Sb. 205, No. 10, 77--106 (2014) Full Text: DOI
Magaril-Il’yaev, G. G.; Osipenko, K. Yu.; Tikhomirov, V. M. Indefinite knowledge about an object and accuracy of its recovery methods. (English. Russian original) Zbl 1074.41021 Probl. Inf. Transm. 39, No. 1, 104-118 (2003); translation from Prob. Peredachi Inf. 39, No. 1, 118-133 (2003). Reviewer: Yuly Makovoz (Lowell) MSC: 41A46 41A65 PDFBibTeX XMLCite \textit{G. G. Magaril-Il'yaev} et al., Probl. Inf. Transm. 39, No. 1, 104--118 (2003; Zbl 1074.41021); translation from Prob. Peredachi Inf. 39, No. 1, 118--133 (2003) Full Text: DOI
Magaril-Il’yaev, G. G.; Osipenko, K. Yu. Optimal reconstruction of derivatives on the Sobolev classes. (Russian) Zbl 1060.41032 Vladikavkaz. Mat. Zh. 5, No. 1, 39-47 (2003). Reviewer: N. A. Kudryavtseva (Novosibirsk) MSC: 41A65 46E35 PDFBibTeX XMLCite \textit{G. G. Magaril-Il'yaev} and \textit{K. Yu. Osipenko}, Vladikavkaz. Mat. Zh. 5, No. 1, 39--47 (2003; Zbl 1060.41032) Full Text: EuDML Link
Osipenko, K. Yu. Optimal recovery of analytic functions by their values in a uniform grid on a circle. (Russian) Zbl 1060.41033 Vladikavkaz. Mat. Zh. 5, No. 1, 48-52 (2003). MSC: 41A65 30E10 PDFBibTeX XMLCite \textit{K. Yu. Osipenko}, Vladikavkaz. Mat. Zh. 5, No. 1, 48--52 (2003; Zbl 1060.41033) Full Text: EuDML Link
Magaril-Il’yaev, G. G.; Osipenko, K. Yu.; Tikhomirov, V. M. Optimal reconstruction and extremum theory. (English. Russian original) Zbl 1091.41500 Dokl. Math. 64, No. 1, 32-35 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 379, No. 2, 161-164 (2001). Reviewer: Bl. Sendov (MR1861911) MSC: 41A65 49K27 PDFBibTeX XMLCite \textit{G. G. Magaril-Il'yaev} et al., Dokl. Math. 64, No. 1, 161--164 (2001; Zbl 1091.41500); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 379, No. 2, 161--164 (2001)
Osipenko, K. Yu. On optimal recovery methods in Hardy-Sobolev spaces. (English. Russian original) Zbl 1017.41024 Sb. Math. 192, No. 2, 225-244 (2001); translation from Mat. Sb. 192, No. 2, 67-86 (2001). Reviewer: Yuri A.Brudnyi (Haifa) MSC: 41A65 46E35 30E10 PDFBibTeX XMLCite \textit{K. Yu. Osipenko}, Sb. Math. 192, No. 2, 225--244 (2001; Zbl 1017.41024); translation from Mat. Sb. 192, No. 2, 67--86 (2001) Full Text: DOI
Osipenko, K. Yu.; Stessin, M. I. On some problems of optimal recovery of analytic and harmonic functions from inaccurate data. (English) Zbl 0760.41031 J. Approximation Theory 70, No. 2, 206-228 (1992). Reviewer: V.Postolică (Piatra Neamt) MSC: 41A65 PDFBibTeX XMLCite \textit{K. Yu. Osipenko} and \textit{M. I. Stessin}, J. Approx. Theory 70, No. 2, 206--228 (1992; Zbl 0760.41031) Full Text: DOI
Osipenko, K. Y.; Stessin, M. I. On optimal recovery of a holomorphic function in the unit ball of \(\mathbb{C}^ n\). (English) Zbl 0757.41035 Constructive Approximation 8, No. 2, 141-159 (1992). Reviewer: I.Serb (Cluj-Napoca) MSC: 41A65 41A50 30C80 30E10 PDFBibTeX XMLCite \textit{K. Y. Osipenko} and \textit{M. I. Stessin}, Constr. Approx. 8, No. 2, 141--159 (1992; Zbl 0757.41035) Full Text: DOI
Osipenko, K. Yu. Best and optimal recovery methods for classes of harmonic functions. (English. Russian original) Zbl 0782.41039 Math. USSR, Sb. 73, No. 1, 111-133 (1992); translation from Mat. Sb. 182, No. 5, 723-745 (1991). MSC: 41A65 41A50 41A55 65D32 31A99 PDFBibTeX XMLCite \textit{K. Yu. Osipenko}, Math. USSR, Sb. 73, No. 1, 723--745 (1992; Zbl 0782.41039); translation from Mat. Sb. 182, No. 5, 723--745 (1991) Full Text: DOI
Magaril-Il’yaev, G. G.; Osipenko, K. Yu. Optimal recovery of functionals based on inaccurate data. (English. Russian original) Zbl 0778.41018 Math. Notes 50, No. 6, 1274-1279 (1991); translation from Mat. Zametki 50, No. 6, 85-93 (1991). MSC: 41A65 47H04 47N10 PDFBibTeX XMLCite \textit{G. G. Magaril-Il'yaev} and \textit{K. Yu. Osipenko}, Math. Notes 50, No. 6, 1274--1279 (1991; Zbl 0778.41018); translation from Mat. Zametki 50, No. 6, 85--93 (1991) Full Text: DOI
Osipenko, K. Yu. Best and optimal recovery methods on classes of harmonic functions. (Russian) Zbl 0764.41034 Mat. Sb. 182, No. 5, 723-745 (1991). Reviewer: A.I.Khejfits (Rostov-na-Donu) MSC: 41A65 41A50 41A55 65D32 31A99 PDFBibTeX XMLCite \textit{K. Yu. Osipenko}, Mat. Sb. 182, No. 5, 723--745 (1991; Zbl 0764.41034) Full Text: EuDML
Magaril-Il’yaev, G. G.; Osipenko, K. Yu. On optimal recovery of functionals with respect to incorrect data. (Russian) Zbl 0745.41034 Mat. Zametki 50, No. 6, 85-93 (1991). Reviewer: S.Cobzaş (Cluj-Napoca) MSC: 41A65 47H04 47N10 PDFBibTeX XMLCite \textit{G. G. Magaril-Il'yaev} and \textit{K. Yu. Osipenko}, Mat. Zametki 50, No. 6, 85--93 (1991; Zbl 0745.41034)
Osipenko, K. Yu. Best approximation methods and the order of informativeness of systems. (English) Zbl 0459.41022 Math. USSR, Sb. 39, 479-500 (1981). MSC: 41A65 41A50 41A25 41A44 94A17 PDFBibTeX XMLCite \textit{K. Yu. Osipenko}, Math. USSR, Sb. 39, 479--500 (1981; Zbl 0459.41022) Full Text: DOI