Exact constants in direct and inverse approximation theorems for functions of several variables in the spaces Sp
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Publication:5080770
DOI10.2298/FIL1905471AzbMath1499.42037WikidataQ126387367 ScholiaQ126387367MaRDI QIDQ5080770
Fahreddin G. Abdullayev, V. V. Savchuk, N. P. Özkartepe, Andrii Shidlich
Publication date: 31 May 2022
Published in: Filomat (Search for Journal in Brave)
Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Fourier series and coefficients in several variables (42B05)
Related Items (5)
Exponential approximation in variable exponent Lebesgue spaces on the real line ⋮ Approximation by interpolation spectral subspaces of operators with discrete spectrum ⋮ Widths of functional classes defined by the majorants of generalized moduli of smoothness in the spaces \(\mathcal{S}^p\) ⋮ Direct and inverse approximation theorems of functions in the Musielak-Orlicz type spaces ⋮ Direct and inverse approximation theorems in the Besicovitch-Musielak-Orlicz spaces of almost periodic functions
Cites Work
- The exact constant in the Jackson inequality in \(L^ 2\)
- Approximation of functions of several variables by linear methods in the space Sp
- On some extremal problems in the theory of approximation of functions in the spaces S p , 1 ≤ p < ∞
- Jackson-Type Inequalities in the Space Sp
- Jackson-type inequalities and exact values of widths of classes of functions in the spaces S p , 1 ≤ p < ∞
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