Balova, E. A.; Osipenko, K. Yu. Optimal recovery methods for solutions of the Dirichlet problem that are exact on subspaces of spherical harmonics. (English. Russian original) Zbl 1415.35102 Math. Notes 104, No. 6, 781-788 (2018); translation from Mat. Zametki 104, No. 6, 803-811 (2018). MSC: 35J05 35J25 PDF BibTeX XML Cite \textit{E. A. Balova} and \textit{K. Yu. Osipenko}, Math. Notes 104, No. 6, 781--788 (2018; Zbl 1415.35102); translation from Mat. Zametki 104, No. 6, 803--811 (2018) Full Text: DOI OpenURL
Magaril-Il’yaev, G. G.; Osipenko, K. Yu. On best harmonic synthesis of periodic functions. (English. Russian original) Zbl 1336.65208 J. Math. Sci., New York 209, No. 1, 115-129 (2015); translation from Fundam. Prikl. Mat. 18, No. 5, 155-174 (2013). MSC: 65T40 42A16 PDF BibTeX XML Cite \textit{G. G. Magaril-Il'yaev} and \textit{K. Yu. Osipenko}, J. Math. Sci., New York 209, No. 1, 115--129 (2015; Zbl 1336.65208); translation from Fundam. Prikl. Mat. 18, No. 5, 155--174 (2013) Full Text: DOI OpenURL
Magaril-Il’yaev, G. G.; Osipenko, K. Yu. On optimal recovery of solutions to difference equations from inaccurate data. (English. Russian original) Zbl 1278.65146 J. Math. Sci., New York 189, No. 4, 596-603 (2013); translation from Probl. Mat. Anal. 69, 47-54 (2013). MSC: 65M32 35K05 35R30 65M06 65J22 47B15 34A55 65L09 PDF BibTeX XML Cite \textit{G. G. Magaril-Il'yaev} and \textit{K. Yu. Osipenko}, J. Math. Sci., New York 189, No. 4, 596--603 (2013; Zbl 1278.65146); translation from Probl. Mat. Anal. 69, 47--54 (2013) Full Text: DOI OpenURL
Magaril-Il’yaev, G. G.; Osipenko, K. Yu. On the reconstruction of convolution-type operators from inaccurate information. (English. Russian original) Zbl 1209.47035 Proc. Steklov Inst. Math. 269, 174-185 (2010); translation from Trudy Mat. Inst. Steklova 269, 181-192 (2010). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47N40 35K05 35R99 65M99 47G30 PDF BibTeX XML Cite \textit{G. G. Magaril-Il'yaev} and \textit{K. Yu. Osipenko}, Proc. Steklov Inst. Math. 269, 174--185 (2010; Zbl 1209.47035); translation from Trudy Mat. Inst. Steklova 269, 181--192 (2010) Full Text: DOI OpenURL
Vysk, N. D.; Osipenko, K. Yu. Optimal reconstruction of the solution of the wave equation from inaccurate initial data. (English. Russian original) Zbl 1137.93014 Math. Notes 81, No. 6, 723-733 (2007); translation from Mat. Zametki 81, No. 6, 803-815 (2007). MSC: 93B07 35L05 35R30 93C20 PDF BibTeX XML Cite \textit{N. D. Vysk} and \textit{K. Yu. Osipenko}, Math. Notes 81, No. 6, 723--733 (2007; Zbl 1137.93014); translation from Mat. Zametki 81, No. 6, 803--815 (2007) Full Text: DOI OpenURL
Osipenko, K. Yu.; Wedenskaya, E. V. Optimal recovery of solutions of the generalized heat equation in the unit ball from inaccurate data. (English) Zbl 1132.65088 J. Complexity 23, No. 4-6, 653-661 (2007). Reviewer: Weizhong Dai (Ruston) MSC: 65M32 35K05 35R30 PDF BibTeX XML Cite \textit{K. Yu. Osipenko} and \textit{E. V. Wedenskaya}, J. Complexity 23, No. 4--6, 653--661 (2007; Zbl 1132.65088) Full Text: DOI OpenURL