On the best simultaneous approximation of functions in the Bergman space \(B_2\)

DOI10.3103/s1066369x23050055zbMath1526.42003OpenAlexW4386335682MaRDI QIDQ6064871

Kh. M. Khuromonov

Publication date: 10 November 2023

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x23050055

zbMATH Keywords

upper boundBergman spacemodulus of continuityextreme problemssimultaneous approximation of functions

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50) Classical almost periodic functions, mean periodic functions (42A75) Spaces of bounded analytic functions of one complex variable (30H05) Approximation by polynomials (41A10)

Cites Work

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• 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
• Inequalities containing best approximations and the modulus of continuity of functions in \(L_2\)
• Best linear methods of approximation and widths of classes of analytic functions in a disk
• Jackson-Stechkin type inequalities for special moduli of continuity and widths of function classes in the space \(L_2\)
• On the best linear approximation methods and the widths of certain classes of analytic functions
• Diameters of certain classes of functions analytic in the unit disc. I
• On diameters of certain classes of functions analytic in the unit disc. II
• Jackson-Stechkin Type Inequalities Between the Best Joint Polynomials Approximation and a Smoothness Characteristic in Bergman Space
• Zeros of functions in the Bergman spaces

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