Shidlich Andrii
Publications
• Prestin J., Savchuk V., Shidlich A., Approximation on hexagonal domains by Taylor-Abel-Poisson means, Journal of Mathematical Analysis and Applications, Volume 529, Issue 2, 15 January, 12753674 (2024) doi, pdf (arXiv).
• Chaichenko, S.; Savchuk, V.; Shidlich, A., Extremal problems of weight approximation on the real axis, Ukrainian Mathematical Bulletin, 20, no. 4, 593-605 (2023). pdf (arxiv); translation in Journal of Mathematical Sciences 279 1, 104-114 (2024).
• Lukovsʹkiĭ, I.O.; Makarov, V.L.; Tymokha, O.M.; Motornyi V.P.; Shevchuk, I.O.; Golub A.P.; Zaderei P.V.; Romanyuk A.S.; Savchuk V.V.; Serdyuk A.S.; Sokolenko I.V.; Shydlich A.L., Oleksandr Ivanovich Stepanets' (on his 80th birthday), Ukr. Mat. Zh. 74, no. 5, 579–581 (2022) doi, pdf (ua).
• Chaichenko, S.O.; Shulyk, T.V.; Shidlich, A.L. Direct and inverse approximation theorems in the Besicovitch–Musielak–Orlicz spaces of almost periodic functions, Ukr. Mat. Zh. 74, No. 5, 701-716 (2022) doi, pdf (arxiv)
• Tymokha, O.M.; Romanyuk A.S.; Serdyuk A.S.; Sokolenko I.V.; Shydlich A.L., International conference “Theory of approximation of functions and its applications” on the occasion of the 80th birthday of the corresponding member of the National Academy of Sciences of Ukraine, Professor O. I. Stepanets (1942-2007), Ukr. Mat. Zh. 74, no. 11, 1583-1584 (2022) doi, pdf (ua).
• Serdyuk, A.S.; Shidlich, A.L. Direct and inverse theorems on the approximation of almost periodic functions in Besicovitch-Stepanets spaces, Carpathian Math. Publ. 13, No. 3, 687–700 (2021), doi, pdf.
• Serdyuk, A.S.; Shidlich, A.L. Problems of approximation theory in abstract linear spaces, (Ukrainian), Zb. Pr. Inst. Mat. NAN Ukr. 18, No. 1, 594-643 (2021) pdf .
• Abdullayev, F.; Chaichenko, S.; Imashkyzy, M.; Shidlich, A., Jackson-type inequalities and widths of functional classes in the Musielak–Orlicz type spaces, Rocky Mountain Journal of Mathematics, 51, No. 4, 1143-1155 (2021) pdf
• Abdullayev, F.; Serdyuk, A.; Shidlich, A., Widths of functional classes defined by majorants of generalized moduli of smoothness in the spaces 𝓢^p, (Ukrainian, English), Ukr. Mat. Zh. 73, No. 6, 723-737 (2021) pdf; translation in Ukr. Math. J. 73, No. 6, 841-858 (2021) pdf (arxiv)
• Abdullayev, F.; Chaichenko, S.; Shidlich, A., Direct and inverse approximation theorems of functions in the Musielak-Orlicz type spaces, Mathematical Inequalities & Applications, 24, No. 2, 323–336 (2021). pdf (arxiv).
• Chaichenko, S.; Savchuk, V.; Shidlich, A., Approximation of functions by linear summation methods in the Orlicz-type spaces, Ukrainian Mathematical Bulletin, 17, No. 2, 152-170 (2020). pdf (arxiv); translation in Journal of Mathematical Sciences 249 (5), 705-719 (2020).
• Abdullayev, F.; Chaichenko, S.; Imash kyzy, M.; Shidlich, A., Direct and inverse approximation theorems in the weighted Orlicz-type spaces with a variable exponent, Turkish Journal of Mathematics, 44, No. 1, 284-299 (2020) pdf.
• Chaichenko, S.; Abdullayev, F.; Shidlich, A., Direct and inverse approximation theorems of functions in the Orlicz type spaces 𝓢_M, Mathematica Slovaca, 69, No. 6, 1367-1380 (2019) pdf (arxiv).
• Abdullayev, F. G.; Ozkartepe, P; Savchuk, V. V.; Shidlich, A. L., Exact constants in direct and inverse approximation theorems for functions of several variables in the spaces S^p, Filomat 33, No. 5, 1471–1484 (2019) pdf.
• Prestin, J.; Savchuk, V. V.; Shidlich, A. L., Approximation theorems for multivariate Taylor-Abel-Poisson means, Stud. Univ. Babes-Bolyai Math. 64, No. 3, 313-329 (2019) pdf.
• Chaichenko, S.O.; Shydlich, A.L. Approximative Characteristics of Modular Orlicz Spaces, (Ukrainian, English), Ukr. Matem. Visn. 15, No. 2, 194-209 (2018) pdf; translation in Journal of Mathematical Sciences 239 (1), 30-42 (2019).
• Samoĭlenko, A.M.; Lukovsʹkiĭ, I.O.; Makarov, V.L.; Motornyi V.P.; Zaderei P.V.; Romanyuk A.S.; Golub A.P.; Serdyuk A.S.; Savchuk V.V.; Romanyuk V.S.; Sokolenko I.V.; Shydlich A.L., Oleksandr Ivanovich Stepanets' (on his 75th birthday), Ukr. Mat. Zh. 69, no. 5, 579–581 (2017).
• Prestin, J.; Savchuk, V. V.; Shidlich, A. L., Direct and inverse theorems on the approximation of 2π -periodic functions by Taylor – Abel – Poisson operators (Ukrainian, English), Ukr. Mat. Zh. 69, No. 5, 657-669 (2017) pdf; translation in Ukr. Math. J. 69, No. 5,766-781 (2017) pdf (arxiv).
• Prestin, J.; Savchuk, V. V.; Shidlich, A. L., Approximation of 2π-periodic functions by Taylor-Abel-Poisson operators in the integral metric. (English) Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2017, No. 1, 17-20 (2017) pdf .
• Shidlich, A. L., Nonlinear approximation of the classes F^ψ_{q,r} of functions of several variables in the integral metrics. (Ukrainian. English summary) Zb. Pr. Inst. Mat. NAN Ukr. 13, No. 3, 293-312 (2016).
• Shidlich, A. L.; Chaichenko, S. O., Approximative properties of diagonal operators in Orlicz spaces. (English) Numer. Funct. Anal. Optim. 36, No. 10, 1339-1352 (2015).
• Shidlich, A.L.; Chaichenko, S.O. On some inequalities of Chebyshev type. (English) Mathematical Inequalities & Applications, 18, No. 4, 1313-1320 (2015).
• Shydlich, A. L.; Chaĭchenko, S. O. Approximate characteristics of diagonal operators in spaces ℓp. (Ukrainian. English summary) Zb. Pr. Inst. Mat. NAN Ukr. 11, No. 4, 399-412 (2014).
• Shidlich, A. L.; Chaichenko, S. O. Some extremal problems in the Orlicz spaces. (Ukrainian. English summary) Mat. Stud. 42, No. 1, 21-32 (2014).
• Savchuk, V.; Shidlich, A. Approximation of functions of several variables by linear methods in the space S^p.(English) Acta Sci. Math. (Szeged). 80, No. 3-4, 477-489 (2014).
• Shydlich, A. L. Order estimates of functionals in terms of which the best n-term approximations of classes F^ψ_{q,∞} are expressed. (Ukrainian. English summary) Zb. Pr. Inst. Mat. NAN Ukr. 11, No. 3, 287-314 (2014).
• Shydlich, A. L. Order estimates for some approximative characteristics. (Ukrainian. English summary) Zb. Pr. Inst. Mat. NAN Ukr. 10, No. 1, 304-327 (2013).
• Shydlich, A. L.Order estimates of the best nn-term orthogonal trigonometric approximations of classes F^ψ_{q,∞} in spaces L_p(T^d). (Ukrainian. English summary) Zb. Pr. Inst. Mat. NAN Ukr. 8, No. 1, 224-243 (2011).
• Shidlich, A.L. On necessary and sufficient conditions for validity of some Chebyshev-type inequalities. (English) J. Math. Inequal. 5, No. 1, 71-85 (2011).
• Stepanets, A. I.; Shidlich, A. L. Extremal problems for integrals of non-negative functions. (English) Izv. Math. 74, No. 3, 607-660 (2010); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 74, No. 3, 169-224 (2010).
• Stepanets, A. I.; Shidlich, A. L. Best approximations of integrals by integrals of finite rank. (English) J. Approx. Theory 162, No. 2, 323-348 (2010).
• Shydlich, A. L. Order equalities for some functionals and their application to the estimation of the best n-term approximations and widths. (Ukrainian, English) Ukr. Mat. Zh. 61, No. 10, 1403-1423 (2009); translation in Ukr. Math. J. 61, No. 10, 1649-1671 (2009).
• Stepanets, A. I.; Serdyuk, A. S.; Shidlich, A. L. On relationship between classes of (ψ,β)-differentiable functions and Gevrey classes. (Russian, English) Ukr. Mat. Zh. 61, No. 1, 140-144 (2009); translation in Ukr. Math. J. 61, No. 1, 171-177 (2009).
• Stepanets, A. I.; Serdyuk, A. S.; Shidlich, A. L. Classification of infinitely differentiable periodic functions. (Russian, English) Ukr. Mat. Zh. 60, No. 12, 1686-1708 (2008); translation in Ukr. Math. J. 60, No. 12, 1982-2005 (2008).
• Shydlich, A. L. Approximation characteristics of spaces S^p_Φ. (Ukrainian) Zb. Pr. Inst. Mat. NAN Ukr. 5, No. 1, 404-430 (2008).
• Shydlich, A. L. Saturation of the linear methods of summation of Fourier series in the spaces S^p_φ. (Ukrainian, English) Ukr. Mat. Zh. 60, No. 6, 815-828 (2008); translation in Ukr. Math. J. 60, No. 6, 950-966 (2008).
• Stepanets’, O. I.; Serdyuk, A. S.; Shydlich, A. L. On some new criteria of infinite differentiability of periodic functions. (Ukrainian. English summary) Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2008, No. 1, 22-26 (2008).
• Stepanets, A. I.; Shidlich, A. L. On the orders of the best approximations of integrals of functions by integrals of rank σ. (English. Russian original) Nonlinear Oscil., N.Y. 10, No. 4, 537-568 (2007); translation from Nelinijni Kolyvannya 10, No. 4, 528-559 (2007).
• Stepanets’, O. I.; Shydlich, A. L. On one extremal problem for finite sums. (Ukrainian) Zb. Pr. Inst. Mat. NAN Ukr. 4, No. 1, 335-351 (2007).
• Savchuk, V. V.; Shydlich, A. L. Approximation of functions of several variables by linear methods in S^p spaces.(Ukrainian) Zb. Pr. Inst. Mat. NAN Ukr. 4, No. 1, 302-317 (2007).
• Stepanets’, O. I.; Serdyuk, A. S.; Shydlich, A. L. On some new criteria for infinite differentiability of periodic functions. (Ukrainian, English) Ukr. Mat. Zh. 59, No. 10, 1399-1409 (2007); translation in Ukr. Math. J. 59, No. 10, 1569-1580 (2007).
• Stepanets’, O. I.; Shydlich, A. L. On some properties of convex functions. (Ukrainian, English) Ukr. Mat. Zh. 59, No. 7, 920-938 (2007); translation in Ukr. Math. J. 59, No. 7, 1019-1039 (2007).
• Stepanets’, O. I.; Shydlich, A. L. On a criterion for convex functions. (Ukrainian. English summary) Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2007, No. 8, 31-36 (2007).
• Stepanets’, O. I.; Shydlich, A. L. Extremal problems for the integrals of nonnegative functions. (Ukrainian. English summary) Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2007, No. 3, 25-31 (2007).
• Stepanets’, O. I.; Shydlich, A. L. On one extremal problem for positive series. (Ukrainian, English) Ukr. Mat. Zh. 57, No. 12, 1677-1683 (2005); translation in Ukr. Math. J. 57, No. 12, 1968-1976 (2005).
• Shidlich, A. L. On the saturation of linear methods of summation of Fourier series in the spaces S^p_φ. (Ukrainian) Ukr. Mat. Zh. 56, No. 1, 133-138 (2004); translation in Ukr. Math. J. 56, No. 1, 166-172 (2004).
• Shydlich, A. L. Best n-term approximations by Λ-methods in S^p_φ spaces. (Ukrainian) Stepanets’, O. I. (ed.), Ekstremal’ni zadachi teoriï funktsij ta sumizhni pytannya. Kyïv: Instytut Matematyky NAN Ukrainy. Pratsi Instytutu Matematyky Natsional’noi Akademii Nauk Ukrainy. Matematyka ta ii Zastosuvannya 46, 283-306 (2003) pdf.
• Stepanets’, O. I.; Shydlich, A. I. The best n-term approximations by Λ-methods in spaces S^p_φ. (Ukrainian, English) Ukr. Mat. Zh. 55, No. 8, 1107-1120 (2003) pdf; translation in Ukr. Math. J. 55, No. 8, 1338-1362 (2003) pdf.
• Shydlich, A. L. Saturation of linear methods of summation of the Fourier series in S^p_φ spaces.(Ukrainian) Stepanets’, O.I. (ed.), Teoriya nablyzhennya funktsij ta sumizhni pytannya. Kyïv: Instytut Matematyky NAN Ukrainy. Pratsi Instytutu Matematyky Natsional’noi Akademii Nauk Ukraïny. Matematyka ta ii Zastosuvannya 35, 215-232 (2002).