Edit Profile (opens in new tab) Shabozov, Mirgand Shabozovich Co-Author Distance Author ID: shabozov.mirgand-shabozovich Published as: Shabozov, M. Sh.; Shabozov, Mirgand Shabozovich; Shabozov, Mirgand Sh.; Shabozov, M. Sh more...less External Links: Wikidata · Math-Net.Ru Documents Indexed: 77 Publications since 1979 Co-Authors: 19 Co-Authors with 44 Joint Publications 24 Co-Co-Authors all top 5 Co-Authors 28 single-authored 8 Yusupov, Gulzorkhon Amirshoevich 7 Vakarchuk, Sergei Borisovich 5 Akobirshoev, Mukhiddin Otamshoevich 4 Shabozov, O. Sh 3 Langarshoev, Mukhtor Ramazonovich 3 Shabozova, A. A. 2 Khuromonov, Khuromon Mamadamonovich 2 Palavonov, K. K. 2 Saidusaĭnov, Mukim Saidusaĭnovich 2 Saidusaynov, M. S. 2 Tukhliev, K. 2 Zabutnaya, Valentina I. 1 Abdukarimzoda, Muslimi Karomatullo 1 Abdulkhaminov, M. A. 1 Berdysheva, Elena E. 1 Dzhurakhonov, Olimdzhon Akmalovich 1 Gulkhodzha, U. 1 Kadamshoev, N. U. 1 Mehmonzoda, S. N. 1 Mekhmonzoda, S. N. 1 Pirov, Kh. Kh. 1 Qadamshoev, N. U. 1 Temurbekova, Sofiya Davronbekovna 1 Yukhanonov, N. N. 1 Zevarshoev, U. N. all top 5 Serials 11 Mathematical Notes 10 Doklady Mathematics 6 Doklady Akademii Nauk Tadzhikskoĭ SSR 6 Ukrainian Mathematical Journal 5 Ukraïns’kyĭ Matematychnyĭ Zhurnal 5 Russian Mathematics 5 Chebyshevskiĭ Sbornik 4 Analysis Mathematica 3 Siberian Mathematical Journal 3 Dopovidi Akademiï Nauk Ukraïni 2 Journal of Approximation Theory 2 Izvestiya Akademii Nauk Tadzhikskoĭ SSR. Otdelenie Fiziko-Matematicheskikh, Khimicheskikh i Geologicheskikh Nauk 2 Vestnik St. Petersburg University. Mathematics 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Moscow University Mathematics Bulletin 1 Journal of Mathematical Sciences (New York) 1 East Journal on Approximations 1 Sbornik: Mathematics 1 Jaen Journal on Approximation 1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 1 Arabian Journal of Mathematics 1 Sibirskiĭ Zhurnal Chistoĭ i Prikladnoĭ Matematiki all top 5 Fields 60 Approximations and expansions (41-XX) 18 Functions of a complex variable (30-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 7 Numerical analysis (65-XX) 6 Functional analysis (46-XX) 3 Partial differential equations (35-XX) 2 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 42 Publications have been cited 164 times in 76 Documents Cited by ▼ Year ▼ The widths of classes of analytic functions in a disc. Zbl 1203.41016 Vakarchuk, S. B.; Shabozov, M. Sh 17 2010 Exact constants in Jackson-type inequalities and exact values of the widths of some classes of functions in \(L_{2}\). Zbl 1264.41015 Shabozov, M. Sh.; Yusupov, G. A. 12 2011 On the best approximation of some classes of analytic functions in weighted Bergman spaces. Zbl 1327.30064 Shabozov, M. Sh.; Shabozov, O. Sh. 10 2007 Best polynomial approximations in \(L_{2}\) of classes of \(2{\pi}\)-periodic functions and exact values of their widths. Zbl 1284.42003 Shabozov, M. Sh.; Yusupov, G. A. 9 2011 Widths of classes of periodic differentiable functions in the space \(L_{2} [0, 2\pi]\). Zbl 1202.46041 Shabozov, M. Sh. 9 2010 The best linear methods and values of widths for some classes of analytic functions in the Bergman weight space. Zbl 1281.41014 Shabozov, M. Sh.; Langarshoev, M. R. 8 2013 On the best mean square approximations by entire functions of exponential type in \(L_2(\mathbb R)\) and mean \(\nu\)-widths of some functional classes. Zbl 1309.30032 Vakarchuk, S. B.; Shabozov, M. Sh.; Langarshoev, M. R. 7 2014 Best approximation and width of some classes of analytic functions. Zbl 1146.41302 Shabozov, M. Sh.; Yusupov, G. 7 2002 Upper bounds for the approximation of certain classes of functions of a complex variable by Fourier series in the space \(L_2\) and \(n\)-widths. Zbl 1397.42001 Shabozov, M. Sh.; Saidusaynov, M. S. 7 2018 Widths of some classes of analytic functions in the Hardy space \(H_2\). Zbl 0996.41018 Shabozov, M. Sh.; Shabozov, O. Sh. 7 2000 Mean-square approximation of complex variable functions by Fourier series in the weighted Bergman space. Zbl 1451.30077 Shabozov, Mirgand Shabozovich; Saidusaĭnov, Mukim Saidusaĭnovich 6 2018 Best approximation methods and widths for some classes of functions in \(H_{q,\rho}\), \(1 \leq q\leq\infty\), \(0 < \rho\leq 1\). Zbl 1358.41025 Shabozov, M. Sh.; Yusupov, G. A. 5 2016 On the best approximation and exact evaluation of the widths of some classes of functions in the Bergman space \(B_{p}\), \(1 \leq p \leq \infty\). Zbl 1134.32002 Shabozov, M. Sh.; Shabozov, O. Sh. 5 2006 Structural characteristics of functions from \(L_2\) and the exact values of widths of some functional classes. Zbl 1323.41015 Vakarchuk, Sergei B.; Shabozov, Mirgand Sh.; Zabutnaya, Valentina I. 4 2015 On the error of the interpolation by bilinear splines. Zbl 0943.41500 Shabozov, M. Sh. 4 1994 On the best approximation in the mean of functions of a complex variable by Fourier series in the Bergman space. Zbl 1443.41009 Shabozov, M. Sh.; Khuromonov, Kh. M. 4 2020 Sharp Jackson-Stechkin type inequalities for periodic functions in \(L _{2}\) and widths of function classes. Zbl 1283.41020 Shabozov, M. Sh.; Vakarchuk, S. B.; Zabutnaya, V. I. 4 2013 Sharp inequalities between the best root-mean-square approximations of analytic functions in the disk and some smoothness characteristics in the Bergman space. Zbl 1477.41006 Shabozov, M. Sh.; Kadamshoev, N. U. 4 2021 Exact bounds for simultaneous approximation of functions of two variables and their derivatives by bilinear splines. Zbl 0954.41012 Shabozov, M. Sh. 3 1996 Best polynomial approximations and the widths of function classes in \(L_2\). Zbl 1285.41017 Shabozov, M. Sh.; Tukhliev, K. 3 2013 Exact constants in Jackson-type inequalities for approximation of analytic functions from \(H_p^r\) with \(1\leq p\leq 2\). Zbl 1143.30020 Shabozov, M. Sh.; Pirov, Kh. Kh. 3 2004 Best linear approximation methods for some classes of analytic functions on the unit disk. Zbl 1444.41006 Shabozov, M. Sh.; Langarshoev, M. R. 3 2019 Inequalities between the best approximations and homogenizations of moduli of continuity in the space \(L_{2}\). Zbl 1229.41031 Shabozov, M. Sh.; Yusupov, G. A. 3 2010 Approximation of functions of a complex variable by Fourier sums in orthogonal systems in \(L_2\). Zbl 1462.41004 Shabozov, M. Sh.; Saidusaynov, M. S. 3 2020 On the best approximation of periodic functions by trigonometric polynomials and the exact values of widths of function classes in \(L_2\). Zbl 1265.42003 Shabozov, M. Sh.; Vakarchuk, S. B. 3 2012 On the best simultaneous approximation in the Bergman space \(B_2\). Zbl 1529.30039 Shabozov, M. Sh. 3 2023 An approach to the investigation of optimal quadrature formulas for singular integrals with fixed singularity. Zbl 0955.41023 Shabozov, M. Sh. 2 1995 Quasi-widths for some classes of differentiable periodic functions of two variables. Zbl 1126.41011 Shabozov, M. Sh.; Akobirshoev, M. 2 2005 Exact estimates of quasiwidths of some classes of differentiable periodic functions of two variables. Zbl 1199.41149 Shabozov, M. Sh.; Akobirshoev, M. 2 2009 Mean-squared approximation of some classes of complex variable functions by Fourier series in the weighted Bergman space \(B_{2,\gamma}\). Zbl 1521.30066 Shabozov, Mirgand Shabozovich; Saidusaĭnov, Mukim Saidusaĭnovich 2 2022 On best quadrature formulas for evaluating curvilinear integrals for some classes of functions and curves. Zbl 1317.65071 Shabozov, M. Sh. 1 2014 The best and the best one-sided approximation of the kernel of the biharmonic equation and recovering of the values of operators. Zbl 0887.42019 Shabozov, M. Sh. 1 1995 Upper bounds for the approximation of some classes of bivariate functions by triangular Fourier-Hermite sums in the space \(L_{2,p}(\mathbb{R}^2)\). Zbl 1449.42044 Shabozov, M. Sh.; Dzhurakhonov, O. A. 1 2019 Some problems of approximation of periodic functions by trigonometric polynomials in \(L_2\). Zbl 1457.42002 Shabozov, Mirgand Shabozovich 1 2019 Widths of certain classes of periodic functions in \(L_2\). Zbl 1266.42004 Shabozov, Mirgand Shabozovich; Yusupov, Gulzorkhon Amirshoevich 1 2012 Mean-square “angle” approximation in the \(L_2\) metric and the values of quasiwidths for some classes of functions. Zbl 1453.42001 Shabozov, M. Sh.; Akobirshoev, M. O. 1 2020 On exact values of quasiwidths for some classes of differentiable periodic functions of two variables. Zbl 1224.41087 Shabozov, M. Sh.; Akobirshoev, M. O. 1 2009 About Kolmogorov type of inequalities for periodic functions of two variables in \(L_2\). Zbl 1442.41005 Shabozov, Mirgand Shabozovich; Akobirshoev, Mukhiddin Otamshoevich 1 2019 Jackson-Stechkin type inequalities between the best joint polynomials approximation and a smoothness characteristic in Bergman space. Zbl 1513.30184 Khuromonov, Khuromon Mamadamonovich; Shabozov, Mirgand Shabozovich 1 2022 On best cubature formulae with weight. Zbl 0469.41023 Shabozov, M. Sh. 1 1980 Inequalities between best polynomial approximants and smoothness characteristics of functions in \(L_2\). Zbl 1482.41007 Shabozov, M. Sh. 1 2021 On widths of classes of analytic functions on the disk in weight Banach spaces. Zbl 1208.46026 Vakarchuk, S. B.; Shabozov, M. Sh. 1 2010 On the best simultaneous approximation in the Bergman space \(B_2\). Zbl 1529.30039 Shabozov, M. Sh. 3 2023 Mean-squared approximation of some classes of complex variable functions by Fourier series in the weighted Bergman space \(B_{2,\gamma}\). Zbl 1521.30066 Shabozov, Mirgand Shabozovich; Saidusaĭnov, Mukim Saidusaĭnovich 2 2022 Jackson-Stechkin type inequalities between the best joint polynomials approximation and a smoothness characteristic in Bergman space. Zbl 1513.30184 Khuromonov, Khuromon Mamadamonovich; Shabozov, Mirgand Shabozovich 1 2022 Sharp inequalities between the best root-mean-square approximations of analytic functions in the disk and some smoothness characteristics in the Bergman space. Zbl 1477.41006 Shabozov, M. Sh.; Kadamshoev, N. U. 4 2021 Inequalities between best polynomial approximants and smoothness characteristics of functions in \(L_2\). Zbl 1482.41007 Shabozov, M. Sh. 1 2021 On the best approximation in the mean of functions of a complex variable by Fourier series in the Bergman space. Zbl 1443.41009 Shabozov, M. Sh.; Khuromonov, Kh. M. 4 2020 Approximation of functions of a complex variable by Fourier sums in orthogonal systems in \(L_2\). Zbl 1462.41004 Shabozov, M. Sh.; Saidusaynov, M. S. 3 2020 Mean-square “angle” approximation in the \(L_2\) metric and the values of quasiwidths for some classes of functions. Zbl 1453.42001 Shabozov, M. Sh.; Akobirshoev, M. O. 1 2020 Best linear approximation methods for some classes of analytic functions on the unit disk. Zbl 1444.41006 Shabozov, M. Sh.; Langarshoev, M. R. 3 2019 Upper bounds for the approximation of some classes of bivariate functions by triangular Fourier-Hermite sums in the space \(L_{2,p}(\mathbb{R}^2)\). Zbl 1449.42044 Shabozov, M. Sh.; Dzhurakhonov, O. A. 1 2019 Some problems of approximation of periodic functions by trigonometric polynomials in \(L_2\). Zbl 1457.42002 Shabozov, Mirgand Shabozovich 1 2019 About Kolmogorov type of inequalities for periodic functions of two variables in \(L_2\). Zbl 1442.41005 Shabozov, Mirgand Shabozovich; Akobirshoev, Mukhiddin Otamshoevich 1 2019 Upper bounds for the approximation of certain classes of functions of a complex variable by Fourier series in the space \(L_2\) and \(n\)-widths. Zbl 1397.42001 Shabozov, M. Sh.; Saidusaynov, M. S. 7 2018 Mean-square approximation of complex variable functions by Fourier series in the weighted Bergman space. Zbl 1451.30077 Shabozov, Mirgand Shabozovich; Saidusaĭnov, Mukim Saidusaĭnovich 6 2018 Best approximation methods and widths for some classes of functions in \(H_{q,\rho}\), \(1 \leq q\leq\infty\), \(0 < \rho\leq 1\). Zbl 1358.41025 Shabozov, M. Sh.; Yusupov, G. A. 5 2016 Structural characteristics of functions from \(L_2\) and the exact values of widths of some functional classes. Zbl 1323.41015 Vakarchuk, Sergei B.; Shabozov, Mirgand Sh.; Zabutnaya, Valentina I. 4 2015 On the best mean square approximations by entire functions of exponential type in \(L_2(\mathbb R)\) and mean \(\nu\)-widths of some functional classes. Zbl 1309.30032 Vakarchuk, S. B.; Shabozov, M. Sh.; Langarshoev, M. R. 7 2014 On best quadrature formulas for evaluating curvilinear integrals for some classes of functions and curves. Zbl 1317.65071 Shabozov, M. Sh. 1 2014 The best linear methods and values of widths for some classes of analytic functions in the Bergman weight space. Zbl 1281.41014 Shabozov, M. Sh.; Langarshoev, M. R. 8 2013 Sharp Jackson-Stechkin type inequalities for periodic functions in \(L _{2}\) and widths of function classes. Zbl 1283.41020 Shabozov, M. Sh.; Vakarchuk, S. B.; Zabutnaya, V. I. 4 2013 Best polynomial approximations and the widths of function classes in \(L_2\). Zbl 1285.41017 Shabozov, M. Sh.; Tukhliev, K. 3 2013 On the best approximation of periodic functions by trigonometric polynomials and the exact values of widths of function classes in \(L_2\). Zbl 1265.42003 Shabozov, M. Sh.; Vakarchuk, S. B. 3 2012 Widths of certain classes of periodic functions in \(L_2\). Zbl 1266.42004 Shabozov, Mirgand Shabozovich; Yusupov, Gulzorkhon Amirshoevich 1 2012 Exact constants in Jackson-type inequalities and exact values of the widths of some classes of functions in \(L_{2}\). Zbl 1264.41015 Shabozov, M. Sh.; Yusupov, G. A. 12 2011 Best polynomial approximations in \(L_{2}\) of classes of \(2{\pi}\)-periodic functions and exact values of their widths. Zbl 1284.42003 Shabozov, M. Sh.; Yusupov, G. A. 9 2011 The widths of classes of analytic functions in a disc. Zbl 1203.41016 Vakarchuk, S. B.; Shabozov, M. Sh 17 2010 Widths of classes of periodic differentiable functions in the space \(L_{2} [0, 2\pi]\). Zbl 1202.46041 Shabozov, M. Sh. 9 2010 Inequalities between the best approximations and homogenizations of moduli of continuity in the space \(L_{2}\). Zbl 1229.41031 Shabozov, M. Sh.; Yusupov, G. A. 3 2010 On widths of classes of analytic functions on the disk in weight Banach spaces. Zbl 1208.46026 Vakarchuk, S. B.; Shabozov, M. Sh. 1 2010 Exact estimates of quasiwidths of some classes of differentiable periodic functions of two variables. Zbl 1199.41149 Shabozov, M. Sh.; Akobirshoev, M. 2 2009 On exact values of quasiwidths for some classes of differentiable periodic functions of two variables. Zbl 1224.41087 Shabozov, M. Sh.; Akobirshoev, M. O. 1 2009 On the best approximation of some classes of analytic functions in weighted Bergman spaces. Zbl 1327.30064 Shabozov, M. Sh.; Shabozov, O. Sh. 10 2007 On the best approximation and exact evaluation of the widths of some classes of functions in the Bergman space \(B_{p}\), \(1 \leq p \leq \infty\). Zbl 1134.32002 Shabozov, M. Sh.; Shabozov, O. Sh. 5 2006 Quasi-widths for some classes of differentiable periodic functions of two variables. Zbl 1126.41011 Shabozov, M. Sh.; Akobirshoev, M. 2 2005 Exact constants in Jackson-type inequalities for approximation of analytic functions from \(H_p^r\) with \(1\leq p\leq 2\). Zbl 1143.30020 Shabozov, M. Sh.; Pirov, Kh. Kh. 3 2004 Best approximation and width of some classes of analytic functions. Zbl 1146.41302 Shabozov, M. Sh.; Yusupov, G. 7 2002 Widths of some classes of analytic functions in the Hardy space \(H_2\). Zbl 0996.41018 Shabozov, M. Sh.; Shabozov, O. Sh. 7 2000 Exact bounds for simultaneous approximation of functions of two variables and their derivatives by bilinear splines. Zbl 0954.41012 Shabozov, M. Sh. 3 1996 An approach to the investigation of optimal quadrature formulas for singular integrals with fixed singularity. Zbl 0955.41023 Shabozov, M. Sh. 2 1995 The best and the best one-sided approximation of the kernel of the biharmonic equation and recovering of the values of operators. Zbl 0887.42019 Shabozov, M. Sh. 1 1995 On the error of the interpolation by bilinear splines. Zbl 0943.41500 Shabozov, M. Sh. 4 1994 On best cubature formulae with weight. Zbl 0469.41023 Shabozov, M. Sh. 1 1980 all cited Publications top 5 cited Publications all top 5 Cited by 44 Authors 26 Shabozov, Mirgand Shabozovich 21 Vakarchuk, Sergei Borisovich 11 Langarshoev, Mukhtor Ramazonovich 6 Yusupov, Gulzorkhon Amirshoevich 3 Khuromonov, Khuromon Mamadamonovich 3 Shabozova, A. A. 3 Vakarchuk, Mihail B. 2 Akobirshoev, Mukhiddin Otamshoevich 2 Babenko, Vladyslav Fedorovych 2 Malakbozov, Zorik Sherozovich 2 Saidusaĭnov, Mukim Saidusaĭnovich 2 Saidusaynov, M. S. 2 Shabozov, Mirand Shabozovich 2 Zabutnaya, Valentina I. 1 Abdulkhaminov, M. A. 1 Abdullayev, Fahreddin G. 1 Anderson, Ryan 1 Aydarmamadov, A. G. 1 Babenko, Aleksandr Grigor’evich 1 Babenko, Yuliya 1 Chaĭchenko, Stanislav Olegovich 1 Dzhurakhonov, Olimdzhon Akmalovich 1 Farkov, Yuriĭ Anatol’evich 1 Imashkyzy, Meerim 1 Kadamshoev, N. U. 1 Khorazmshoev, Saiddzhobir Saidnasilloevich 1 Konareva, S. V. 1 Kryakin, Yuri V. 1 Leskevich, T. Yu. 1 Leskevych, Tetiana 1 Mekhmonzoda, S. N. 1 Palavonov, K. K. 1 Qadamshoev, N. U. 1 Rovenska, Ol’ga Gennadievna 1 Saidusajnov, Mukim S. 1 Saidusajnov, Muqim S. 1 Shabozov, Murand Shabozovich 1 Shidlich, Andrii 1 Temurbekova, Sofiya Davronbekovna 1 Tileubaev, Tilektes Ereshovich 1 Tukhliev, Dilshod Kamaridinovich 1 Tukhliev, K. 1 Vakarchuk, Mykhailo 1 Vaysfel’d, Natal’ya Daniilovna all top 5 Cited in 21 Serials 18 Ukrainian Mathematical Journal 12 Mathematical Notes 11 Russian Mathematics 3 Journal of Approximation Theory 3 Siberian Mathematical Journal 3 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 3 Chebyshevskiĭ Sbornik 3 Ufimskiĭ Matematicheskiĭ Zhurnal 3 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 2 Vestnik St. Petersburg University. Mathematics 2 Journal of Mathematical Sciences (New York) 2 Doklady Mathematics 2 Ural Mathematical Journal 2 Vestnik Rossiĭskikh Universitetov. Matematika 1 Moscow University Mathematics Bulletin 1 Rocky Mountain Journal of Mathematics 1 Mathematical Inequalities & Applications 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Proceedings of the Steklov Institute of Mathematics 1 Arabian Journal of Mathematics 1 Researches in Mathematics all top 5 Cited in 12 Fields 61 Approximations and expansions (41-XX) 26 Functions of a complex variable (30-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 4 Functional analysis (46-XX) 3 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.