Widths of functional classes defined by the majorants of generalized moduli of smoothness in the spaces \(\mathcal{S}^p\)
From MaRDI portal
Publication:2058595
DOI10.1007/s11253-021-01963-6zbMath1492.41009arXiv2005.05597OpenAlexW4200172158MaRDI QIDQ2058595
Andrii Shidlich, A. S. Serdyuk, Fahreddin G. Abdullayev
Publication date: 9 December 2021
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.05597
Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Rate of convergence, degree of approximation (41A25) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)
Related Items (2)
Jackson-type inequalities and widths of functional classes in the Musielak-Orlicz type spaces ⋮ Direct and inverse approximation theorems in the Besicovitch-Musielak-Orlicz spaces of almost periodic functions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Widths in \(L_ 2\) of classes of differentiable functions, defined by higher-order moduli of continuity
- Equivalence of generalized moduli of continuity
- Jackson-type inequalities with generalized modulus of continuity and exact values of the \(n\)-widths for the classes of \((\psi,\beta)\)-differentiable functions in \(L_2\). I
- Widths of classes from \(L_2[0,2\pi\) and minimization of exact constants in Jackson-type inequalities]
- Jackson-Stechkin-type inequalities for the approximation of elements of Hilbert spaces
- A Tauberian theorem related to approximation theory
- Comparison theorems for a generalized modulus of continuity
- Approximation of functions of several variables by linear methods in the space Sp
- On Jackson's inequality for a generalized modulus of continuity in $ L_2$
- Direct and inverse approximation theorems of functions in the Musielak-Orlicz type spaces
- Exact constants in direct and inverse approximation theorems for functions of several variables in the spaces Sp
- Problems of approximation theory in linear spaces
- On some extremal problems in the theory of approximation of functions in the spaces S p , 1 ≤ p < ∞
- Jackson-type inequalities and exact values of widths of classes of functions in the spaces S p , 1 ≤ p < ∞
This page was built for publication: Widths of functional classes defined by the majorants of generalized moduli of smoothness in the spaces \(\mathcal{S}^p\)
