Edit Profile (opens in new tab) Kolomoitsev, Yurii S. Co-Author Distance Author ID: kolomoitsev.yurii-s Published as: Kolomoitsev, Yurii; Kolomoitsev, Yu. S.; Kolomoitsev, Yu.; Kolomoitsev, Yurii S.; Kolomoitsev, Iu. S.; Kolomoĭtsev, Yu. S.; Kolomoĭtsev, Yu S. more...less Further Spellings: kolomoitsev, iu. s. External Links: ORCID · Google Scholar · ResearchGate · dblp Documents Indexed: 50 Publications since 2007, including 1 Book and 2 Additional arXiv Preprints Co-Authors: 13 Co-Authors with 29 Joint Publications 272 Co-Co-Authors all top 5 Co-Authors 21 single-authored 10 Lomako, Tetiana 7 Skopina, Maria A. 4 Prestin, Jurgen 4 Tikhonov, Sergey Yur’evich 3 Liflyand, Elijah 2 Krivoshein, Aleksandr Vladimirovich 1 Dencker, Peter 1 Erb, Wolfgang 1 Gerasimenko, V. A. 1 Plonka, Gerlind 1 Riebe, Yannick 1 Ryazanov, Vladimir Il’ich 1 Trigub, Roal’d Mikhaĭlovich all top 5 Serials 11 Trudy Instituta Prikladnoĭ Matematiki i Mekhaniki 6 Journal of Approximation Theory 3 Journal of Mathematical Analysis and Applications 3 Journal of Mathematical Sciences (New York) 2 Mathematical Notes 2 Ukrainian Mathematical Journal 2 Applied Mathematics and Computation 2 Journal of Complexity 2 The Journal of Fourier Analysis and Applications 2 Fractional Calculus & Applied Analysis 1 Mathematical Methods in the Applied Sciences 1 Studia Mathematica 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Applied and Computational Harmonic Analysis 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Visnyk Kharkivs’kogo Universytetu. Seriya Matematyka, Prykladna Matematyka i Mekhanika 1 Analysis and Applications (Singapore) 1 Analysis and Mathematical Physics 1 Bulletin of Mathematical Sciences all top 5 Fields 35 Harmonic analysis on Euclidean spaces (42-XX) 30 Approximations and expansions (41-XX) 7 Real functions (26-XX) 5 Information and communication theory, circuits (94-XX) 4 Functions of a complex variable (30-XX) 4 Functional analysis (46-XX) 2 Partial differential equations (35-XX) 2 Numerical analysis (65-XX) 1 Special functions (33-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 164 times in 72 Documents Cited by ▼ Year ▼ Approximation by multivariate Kantorovich-Kotelnikov operators. Zbl 1371.41036 Kolomoitsev, Yu.; Skopina, M. 25 2017 Differential and falsified sampling expansions. Zbl 1402.41008 Kolomoitsev, Yu.; Krivoshein, A.; Skopina, M. 19 2018 Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\). Zbl 1450.41004 Kolomoitsev, Yurii; Tikhonov, Sergey 14 2020 Quasi-projection operators in weighted \(L_p\) spaces. Zbl 1460.41015 Kolomoitsev, Yu.; Skopina, M. 12 2021 Approximation by sampling-type operators in \(L_p\)-spaces. Zbl 1459.41007 Kolomoitsev, Yurii; Skopina, Maria 9 2020 Multiplicative sufficient conditions for Fourier multipliers. Zbl 1301.42020 Kolomoĭtsev, Yu S. 8 2014 Hardy-Littlewood and Ulyanov inequalities. Zbl 07403469 Kolomoitsev, Yurii; Tikhonov, Sergey 8 2021 Approximation by multivariate quasi-projection operators and Fourier multipliers. Zbl 1508.41009 Kolomoitsev, Yurii; Skopina, Maria 7 2021 On moduli of smoothness and averaged differences of fractional order. Zbl 1371.26006 Kolomoitsev, Yurii 5 2017 On the growth of Lebesgue constants for convex polyhedra. Zbl 1395.42014 Kolomoitsev, Yurii; Lomako, Tetiana 4 2018 Lebesgue constants for polyhedral sets and polynomial interpolation on Lissajous-Chebyshev nodes. Zbl 1371.41003 Dencker, Peter; Erb, Wolfgang; Kolomoitsev, Yurii; Lomako, Tetiana 4 2017 Generalization of one sufficient condition for Fourier multipliers. Zbl 1270.42012 Kolomoitsev, Yu. S. 4 2013 Approximation by periodic multivariate quasi-projection operators. Zbl 1445.41008 Kolomoitsev, Yu.; Krivoshein, A.; Skopina, M. 4 2020 Approximation properties of periodic multivariate quasi-interpolation operators. Zbl 1475.41008 Kolomoitsev, Yurii; Prestin, Jürgen 4 2021 Approximation properties of generalized Bochner-Riesz means in the Hardy spaces \( H_p, 0<p\leq 1\). Zbl 1257.41011 Kolomoĭtsev, Yu. S. 4 2012 Sharp estimates of approximation of periodic functions in Hölder spaces. Zbl 1326.42003 Kolomoitsev, Yurii; Prestin, Jürgen 3 2015 On weighted conditions for the absolute convergence of Fourier integrals. Zbl 1388.42019 Kolomoitsev, Yu.; Liflyand, E. 3 2017 Uniqueness of approximate solutions of Beltrami equations. Zbl 1249.30050 Kolomoitsev, Iu. S.; Ryazanov, V. I. 3 2009 On the nonclassical approximation method for periodic functions by trigonometric polynomials. Zbl 1275.41023 Kolomoitsev, Yurii S.; Trigub, Roald M. 3 2013 Best approximations and moduli of smoothness of functions and their derivatives in \(L_p\), \(0 < p < 1\). Zbl 1400.41007 Kolomoitsev, Yurii 2 2018 On \(L_p\)-error of bivariate polynomial interpolation on the square. Zbl 1456.41001 Kolomoitsev, Yurii; Lomako, Tetiana; Prestin, Jürgen 2 2018 The inequality of Nikol’skii-Stechkin-Boas type with fractional derivatives in \(L_p\), \(0<p<1\). Zbl 1250.42006 Kolomoitsev, Yu. S. 2 2007 Uniform approximation by multivariate quasi-projection operators. Zbl 1505.41010 Kolomoitsev, Yu.; Skopina, M. 2 2022 Absolute convergence of multiple Fourier integrals. Zbl 1272.42007 Kolomoitsev, Yurii; Liflyand, Elijah 2 2013 On moduli of smoothness and \(K\)-functionals of fractional order in the Hardy spaces. Zbl 1268.41012 Kolomoitsev, Yurii S. 2 2012 Smoothness of functions versus smoothness of approximation processes. Zbl 1469.41015 Kolomoitsev, Yu. S.; Tikhonov, S. Yu. 2 2020 On approximation of functions by algebraic polynomials in Hölder spaces. Zbl 1355.41005 Kolomoitsev, Yurii; Lomako, Tetiana; Prestin, Jürgen 1 2016 On approximation of functions by trigonometric polynomials with incomplete spectrum in \(L_p\), \({0<p<1}\). Zbl 1288.41005 Kolomoitsev, Yu. S. 1 2010 On inequalities of Bernstein type for fractional derivatives in classes \(\varphi(L)\). Zbl 1324.42002 Kolomoitsev, Yu. S. 1 2013 About one property for multipliers in the Hardy spaces. Zbl 1265.42017 Kolomoitsev, Yu. S. 1 2011 Approximation by quasi-interpolation operators and Smolyak’s algorithm. Zbl 1496.42001 Kolomoitsev, Yurii 1 2022 On equivalence of \(K\)-functionals and approximation methods generated by generalized Bochner-Riesz kernels. Zbl 1224.42004 Gerasimenko, V. A.; Kolomoitsev, Yu. S. 1 2009 Sparse grid approximation in weighted Wiener spaces. Zbl 1528.41036 Kolomoitsev, Yurii; Lomako, Tetiana; Tikhonov, Sergey 1 2023 Sparse grid approximation in weighted Wiener spaces. Zbl 1528.41036 Kolomoitsev, Yurii; Lomako, Tetiana; Tikhonov, Sergey 1 2023 Uniform approximation by multivariate quasi-projection operators. Zbl 1505.41010 Kolomoitsev, Yu.; Skopina, M. 2 2022 Approximation by quasi-interpolation operators and Smolyak’s algorithm. Zbl 1496.42001 Kolomoitsev, Yurii 1 2022 Quasi-projection operators in weighted \(L_p\) spaces. Zbl 1460.41015 Kolomoitsev, Yu.; Skopina, M. 12 2021 Hardy-Littlewood and Ulyanov inequalities. Zbl 07403469 Kolomoitsev, Yurii; Tikhonov, Sergey 8 2021 Approximation by multivariate quasi-projection operators and Fourier multipliers. Zbl 1508.41009 Kolomoitsev, Yurii; Skopina, Maria 7 2021 Approximation properties of periodic multivariate quasi-interpolation operators. Zbl 1475.41008 Kolomoitsev, Yurii; Prestin, Jürgen 4 2021 Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\). Zbl 1450.41004 Kolomoitsev, Yurii; Tikhonov, Sergey 14 2020 Approximation by sampling-type operators in \(L_p\)-spaces. Zbl 1459.41007 Kolomoitsev, Yurii; Skopina, Maria 9 2020 Approximation by periodic multivariate quasi-projection operators. Zbl 1445.41008 Kolomoitsev, Yu.; Krivoshein, A.; Skopina, M. 4 2020 Smoothness of functions versus smoothness of approximation processes. Zbl 1469.41015 Kolomoitsev, Yu. S.; Tikhonov, S. Yu. 2 2020 Differential and falsified sampling expansions. Zbl 1402.41008 Kolomoitsev, Yu.; Krivoshein, A.; Skopina, M. 19 2018 On the growth of Lebesgue constants for convex polyhedra. Zbl 1395.42014 Kolomoitsev, Yurii; Lomako, Tetiana 4 2018 Best approximations and moduli of smoothness of functions and their derivatives in \(L_p\), \(0 < p < 1\). Zbl 1400.41007 Kolomoitsev, Yurii 2 2018 On \(L_p\)-error of bivariate polynomial interpolation on the square. Zbl 1456.41001 Kolomoitsev, Yurii; Lomako, Tetiana; Prestin, Jürgen 2 2018 Approximation by multivariate Kantorovich-Kotelnikov operators. Zbl 1371.41036 Kolomoitsev, Yu.; Skopina, M. 25 2017 On moduli of smoothness and averaged differences of fractional order. Zbl 1371.26006 Kolomoitsev, Yurii 5 2017 Lebesgue constants for polyhedral sets and polynomial interpolation on Lissajous-Chebyshev nodes. Zbl 1371.41003 Dencker, Peter; Erb, Wolfgang; Kolomoitsev, Yurii; Lomako, Tetiana 4 2017 On weighted conditions for the absolute convergence of Fourier integrals. Zbl 1388.42019 Kolomoitsev, Yu.; Liflyand, E. 3 2017 On approximation of functions by algebraic polynomials in Hölder spaces. Zbl 1355.41005 Kolomoitsev, Yurii; Lomako, Tetiana; Prestin, Jürgen 1 2016 Sharp estimates of approximation of periodic functions in Hölder spaces. Zbl 1326.42003 Kolomoitsev, Yurii; Prestin, Jürgen 3 2015 Multiplicative sufficient conditions for Fourier multipliers. Zbl 1301.42020 Kolomoĭtsev, Yu S. 8 2014 Generalization of one sufficient condition for Fourier multipliers. Zbl 1270.42012 Kolomoitsev, Yu. S. 4 2013 On the nonclassical approximation method for periodic functions by trigonometric polynomials. Zbl 1275.41023 Kolomoitsev, Yurii S.; Trigub, Roald M. 3 2013 Absolute convergence of multiple Fourier integrals. Zbl 1272.42007 Kolomoitsev, Yurii; Liflyand, Elijah 2 2013 On inequalities of Bernstein type for fractional derivatives in classes \(\varphi(L)\). Zbl 1324.42002 Kolomoitsev, Yu. S. 1 2013 Approximation properties of generalized Bochner-Riesz means in the Hardy spaces \( H_p, 0<p\leq 1\). Zbl 1257.41011 Kolomoĭtsev, Yu. S. 4 2012 On moduli of smoothness and \(K\)-functionals of fractional order in the Hardy spaces. Zbl 1268.41012 Kolomoitsev, Yurii S. 2 2012 About one property for multipliers in the Hardy spaces. Zbl 1265.42017 Kolomoitsev, Yu. S. 1 2011 On approximation of functions by trigonometric polynomials with incomplete spectrum in \(L_p\), \({0<p<1}\). Zbl 1288.41005 Kolomoitsev, Yu. S. 1 2010 Uniqueness of approximate solutions of Beltrami equations. Zbl 1249.30050 Kolomoitsev, Iu. S.; Ryazanov, V. I. 3 2009 On equivalence of \(K\)-functionals and approximation methods generated by generalized Bochner-Riesz kernels. Zbl 1224.42004 Gerasimenko, V. A.; Kolomoitsev, Yu. S. 1 2009 The inequality of Nikol’skii-Stechkin-Boas type with fractional derivatives in \(L_p\), \(0<p<1\). Zbl 1250.42006 Kolomoitsev, Yu. S. 2 2007 all cited Publications top 5 cited Publications all top 5 Cited by 62 Authors 21 Kolomoitsev, Yurii S. 14 Costarelli, Danilo 14 Vinti, Gianluca 8 Lomako, Tetiana 6 Skopina, Maria A. 5 Tikhonov, Sergey Yur’evich 4 Fang, Jingxuan 4 Prestin, Jurgen 4 Zhao, Jiman 3 Acar, Tuncer 3 Dominguez, Oscar 3 Krivoshein, Aleksandr Vladimirovich 3 Li, Hongbo 3 Liflyand, Elijah 2 Akgun, Ramazan 2 Angeloni, Laura 2 Draganov, Borislav R. 2 Gorbachëv, Dmitriĭ Viktorovich 2 Ivanov, Valerĭ Ivanovich 2 Runovski, Konstantin Vsevolodovich 2 Trigub, Roal’d Mikhaĭlovich 2 Ulitskaya, Anastasiya Yur’evna 1 Alagoz, Osman 1 Artamonov, Sergeĭ Yurievich 1 Bartoccini, Benedetta 1 Cantarini, Marco 1 Coroianu, Lucian C. 1 D’yachenko, Mikhaĭl Ivanovich 1 Erb, Wolfgang 1 Gal, Sorin Gheorghe 1 Haroske, Dorothee D. 1 Jahn, Thomas 1 Kadak, Ugur 1 Kireeva, Ekaterina Dmitrievna 1 Król, Sebastian 1 Krotova, Yu. I. 1 Kumar, Angamuthu Sathish 1 Kumar, Vishvesh 1 Lauritsen, Asbjørn Bækgaard 1 Milman, Mario Marcos 1 Mukanov, Askhat Birlesovich 1 Nguyen, Ha Q. 1 Parlak, Merve 1 Piconi, Michele 1 Pourgholamhossein, Mahmood 1 Ruzhansky, Michael V. 1 Ryazanov, Vladimir Il’ich 1 Salimov, Ruslan Radikovich 1 Samko, Stefan Grigor’evich 1 San Antolín, Angel 1 Schmeisser, Hans-Jürgen 1 Seiringer, Robert 1 Seracini, Marco 1 Sevost’yanov, Yevgen Oleksandrovych 1 Tabatabaie, Seyyed Mohammad 1 Trynin, Aleksandr Yur’evich 1 Turgay, Metin 1 Ullrich, Tino 1 Unser, Michael A. 1 Vinogradov, Oleg Leonidovich 1 Voigtlaender, Felix 1 Volosivets, Sergeĭ Sergeevich all top 5 Cited in 36 Serials 11 Journal of Approximation Theory 6 Journal of Mathematical Analysis and Applications 5 Applied Mathematics and Computation 4 Ukrainian Mathematical Journal 4 The Journal of Geometric Analysis 3 The Journal of Fourier Analysis and Applications 3 Analysis and Mathematical Physics 2 Mathematische Nachrichten 2 Journal of Complexity 2 Journal of Mathematical Sciences (New York) 2 Sbornik: Mathematics 2 Fractional Calculus & Applied Analysis 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Constructive Mathematical Analysis 1 Mathematical Notes 1 Archiv der Mathematik 1 Journal of Functional Analysis 1 Memoirs of the American Mathematical Society 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Revista de la Unión Matemática Argentina 1 Siberian Mathematical Journal 1 Acta Mathematica Hungarica 1 Constructive Approximation 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Siberian Advances in Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Calculus of Variations and Partial Differential Equations 1 Applied and Computational Harmonic Analysis 1 St. Petersburg Mathematical Journal 1 Novi Sad Journal of Mathematics 1 Complex Analysis and Operator Theory 1 Banach Journal of Mathematical Analysis 1 Bulletin of Mathematical Sciences 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika all top 5 Cited in 13 Fields 51 Approximations and expansions (41-XX) 44 Harmonic analysis on Euclidean spaces (42-XX) 17 Functional analysis (46-XX) 13 Operator theory (47-XX) 13 Information and communication theory, circuits (94-XX) 11 Real functions (26-XX) 5 Abstract harmonic analysis (43-XX) 5 Numerical analysis (65-XX) 3 Special functions (33-XX) 2 Functions of a complex variable (30-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year