Exact inequalities between the best polynomial approximations and averaged norms of finite differences in the \(B_2\) space and widths of some classes of functions
From MaRDI portal
Publication:2112345
DOI10.3103/S1066369X22030045OpenAlexW4313185093MaRDI QIDQ2112345
Publication date: 10 January 2023
Published in: Russian Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3103/s1066369x22030045
upper boundbest approximationgeneralized modulus of continuity\(n\)-widthsJackson-Stechkin-type inequality
Harmonic analysis in one variable (42Axx) Approximations and expansions (41Axx) Approximations and expansions (41-XX)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Inequalities between best polynomial approximations and some smoothness characteristics in the space \(L_2\) and widths of classes of functions
- Exact constants in Jackson-type inequalities and exact values of the widths of some classes of functions in \(L_{2}\)
- 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
- Jackson-type inequalities with generalized modulus of continuity and exact values of the \(n\)-widths for the classes of \((\psi,\beta)\)-differentiable functions in \(L_2\). III
- Jackson-Stechkin type inequalities for special moduli of continuity and widths of function classes in the space \(L_2\)
- Best mean-square approximation of functions defined on the real axis by entire functions of exponential type
- On the best approximation in the mean of functions of a complex variable by Fourier series in the Bergman space
- Approximation of functions of a complex variable by Fourier sums in orthogonal systems in \(L_2\)
- Problems in the approximation of \(2\pi \)-periodic functions by Fourier sums in the space \(L_2 (2\pi)\)
- Structural characteristics of functions from \(L_2\) and the exact values of widths of some functional classes
This page was built for publication: Exact inequalities between the best polynomial approximations and averaged norms of finite differences in the \(B_2\) space and widths of some classes of functions
