Velichko, V. E.; Novikov, O. A.; Rovenskaya, O. G.; Rukasov The approximation of the analytic functions of the repeated sums of Vallée Poussin. (Russian) Zbl 1250.42016 Tr. Inst. Prikl. Mat. Mekh. 22, 33-42 (2011). Reviewer: Evgeny Sevost’yanov (Donetsk) MSC: 42A16 42A32 PDFBibTeX XMLCite \textit{V. E. Velichko} et al., Tr. Inst. Prikl. Mat. Mekh. 22, 33--42 (2011; Zbl 1250.42016)
Rukasov, Vladimir; Runovski, Konstantin; Schmeisser, Hans-Jürgen Approximation by families of linear trigonometric polynomial operators and smoothness properties of functions. (English) Zbl 1222.42005 Math. Nachr. 284, No. 11-12, 1523-1537 (2011). MSC: 42A10 42B15 PDFBibTeX XMLCite \textit{V. Rukasov} et al., Math. Nachr. 284, No. 11--12, 1523--1537 (2011; Zbl 1222.42005) Full Text: DOI
Stepanets, A. I.; Rukasov, V. I.; Chaĭchenko, S. O. Approximations by the de la Vallée-Poussin sums. (Приближения суммами Валле Пуссена.) (Russian) Zbl 1199.42001 Pratsi Instytutu Matematyky Natsional’noï Akademiï Nauk Ukraïny. Matematyka ta ïï Zastosuvannya 68. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 978-966-02-4593-8). 386 p. (2007). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 42-02 41-02 42A05 42A10 42A15 42A24 PDFBibTeX XMLCite \textit{A. I. Stepanets} et al., Приближения суммами Валле Пуссена (Russian). Kyïv: Instytut Matematyky NAN Ukraïny (2007; Zbl 1199.42001)
Rukasov, V. I.; Silin, E. S. Approximation of continuous functions by de la Vallée Poussin operators. (Russian) Zbl 1129.42314 Stepanets’, O. I. (ed.), Ekstremal’ni zadachi teoriïfunktsij ta sumizhni pytannya. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2940-2). Pratsi Instytutu Matematyky Natsional’noïAkademiïNauk Ukraïny. Matematyka ta ïïZastosuvannya 46, 192-208 (2003). MSC: 42A10 42A32 PDFBibTeX XMLCite \textit{V. I. Rukasov} and \textit{E. S. Silin}, in: Ekstremal'ni zadachi teoriï\ funktsij ta sumizhni pytannya. Kyïv: Instytut Matematyky NAN Ukraïny. 192--208 (2003; Zbl 1129.42314)
Rukasov, V. I.; Chaichenko, S. O. Approximation of \(\overline{\psi}\)-integrals of periodic functions in the uniform and integral metrics. (Russian) Zbl 1129.42311 Stepanets’, O. I. (ed.), Ekstremal’ni zadachi teoriïfunktsij ta sumizhni pytannya. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2940-2). Pratsi Instytutu Matematyky Natsional’noïAkademiïNauk Ukraïny. Matematyka ta ïïZastosuvannya 46, 156-191 (2003). MSC: 42A10 42A24 42A32 PDFBibTeX XMLCite \textit{V. I. Rukasov} and \textit{S. O. Chaichenko}, in: Ekstremal'ni zadachi teoriï\ funktsij ta sumizhni pytannya. Kyïv: Instytut Matematyky NAN Ukraïny. 156--191 (2003; Zbl 1129.42311)
Rukasov, V. I. Approximation of classes of analytic functions by de la Vallée-Poussin sums. (Russian, English) Zbl 1142.42302 Ukr. Mat. Zh. 55, No. 6, 806-816 (2003); translation in Ukr. Math. J. 55, No. 6, 974-986 (2003). Reviewer: A. M. Gomilko (Kyïv) MSC: 42A10 42A16 PDFBibTeX XMLCite \textit{V. I. Rukasov}, Ukr. Mat. Zh. 55, No. 6, 806--816 (2003; Zbl 1142.42302); translation in Ukr. Math. J. 55, No. 6, 974--986 (2003) Full Text: DOI
Rukasov, V. I. Approximation of continuous functions by de la Valleé Poussin operators. (English. Russian original) Zbl 1037.42002 Ukr. Math. J. 55, No. 3, 498-511 (2003); translation from Ukr. Mat. Zh. 55, No. 3, 414-424 (2003). Reviewer: A. M. Gomilko (Kyïv) MSC: 42A10 41A25 PDFBibTeX XMLCite \textit{V. I. Rukasov}, Ukr. Mat. Zh. 55, No. 3, 414--424 (2003; Zbl 1037.42002); translation from Ukr. Mat. Zh. 55, No. 3, 414--424 (2003) Full Text: DOI
Rukasov, V. I.; Chaichenko, S. O. Approximation of continuous periodic functions by de la Vallée Poussin sums (smoothness law). (Russian) Zbl 1129.42310 Stepanets’, O.I. (ed.), Teoriya nablyzhennya funktsij ta sumizhni pytannya. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2617-9). Pratsi Instytutu Matematyky Natsional’noï Akademiï Nauk Ukraïny. Matematyka ta {ïï} Zastosuvannya 35, 134-150 (2002). MSC: 42A10 41A17 42A32 PDFBibTeX XMLCite \textit{V. I. Rukasov} and \textit{S. O. Chaichenko}, in: Теория наблыження функций та сумижни пытання. Kyïv: Instytut Matematyky NAN Ukraïny. 134--150 (2002; Zbl 1129.42310)
Rukasov, V. I.; Novikov, O. A.; Chaichenko, S. O. Approximation of classes of periodic functions with smoothness law by de la Vallée Poussin sums. (Russian) Zbl 1129.42313 Stepanets’, O.I. (ed.), Teoriya nablyzhennya funktsij ta sumizhni pytannya. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2617-9). Pratsi Instytutu Matematyky Natsional’noï Akademiï Nauk Ukraïny. Matematyka ta {ïï} Zastosuvannya 35, 119-133 (2002). MSC: 42A10 42A24 42A32 PDFBibTeX XMLCite \textit{V. I. Rukasov} et al., in: Теория наблыження функций та сумижни пытання. Kyïv: Instytut Matematyky NAN Ukraïny. 119--133 (2002; Zbl 1129.42313)
Rukasov, V. I.; Novikov, O. A. Approximation of functions with low smoothness from classes \(C^{\overline \psi}_\omega\) by linear methods. (Russian) Zbl 1129.42312 Ukraïns’kyj matematychnyj kongres – 2001. Pratsi. Sektsiya 10. Teoriya nablyzhen’ ta garmonichnyj analiz. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2649-7). 184-193 (2002). MSC: 42A10 41A17 42A32 PDFBibTeX XMLCite \textit{V. I. Rukasov} and \textit{O. A. Novikov}, in: Ukraïns'kyj matematychnyj kongres -- 2001. Pratsi. Sektsiya 10. Teoriya nablyzhen' ta garmonichnyj analiz. Kyïv: Instytut Matematyky NAN Ukraïny. 184--193 (2002; Zbl 1129.42312)
Rukasov, V. I.; Chajchenko, S. O. Approximation of \(\overline{\psi}\)-integrals of periodic functions by de la Vallée Poussin sums (low smoothness). (English. Russian original) Zbl 1006.42002 Ukr. Math. J. 53, No. 12, 1998-2013 (2001); translation from Ukr. Mat. Zh. 53, No. 12, 1641-1653 (2001). Reviewer: A.M.Gomilko (Kyïv) MSC: 42A10 41A17 42A32 PDFBibTeX XMLCite \textit{V. I. Rukasov} and \textit{S. O. Chajchenko}, Ukr. Mat. Zh. 53, No. 12, 1641--1653 (2001; Zbl 1006.42002); translation from Ukr. Mat. Zh. 53, No. 12, 1641--1653 (2001) Full Text: DOI
Rukasov, V. I.; Chajchenko, S. O. Approximation of \(\overline{\psi}\)-integrals of \(2\pi\)-periodic functions by de la Vallée Poussin sums. (Russian) Zbl 1032.42007 Samoilenko, A. M. (ed.) et al., Fourier series: Theory and applications. Section: Function theory. Kyïv: Instytut Matematyky NAN Ukraïny. Pr. Inst. Mat. Nats. Akad. Nauk Ukr., Mat. Zastos. 20, 242-254 (1998). Reviewer: Alexander Gomilko (Kyïv) MSC: 42A10 42A32 42A24 PDFBibTeX XMLCite \textit{V. I. Rukasov} and \textit{S. O. Chajchenko}, in: Ryady Fur'eh: Teoriya i zastosuvannya. Sektsiya: Teoriya funktsij. Kyïv: Instytut Matematyky NAN Ukraïny. 242--254 (1998; Zbl 1032.42007)
Novikov, O. A.; Rukasov, V. I. Approximation of classes of continuous functions by generalized de la Vallée-Poussin sums. (Ukrainian) Zbl 0887.42002 Ukr. Mat. Zh. 47, No. 8, 1069-1079 (1995). MSC: 42A10 42A24 PDFBibTeX XMLCite \textit{O. A. Novikov} and \textit{V. I. Rukasov}, Ukr. Mat. Zh. 47, No. 8, 1069--1079 (1995; Zbl 0887.42002) Full Text: DOI