Jackson-type inequalities and exact values of widths of classes of functions in the spaces S p , 1 ≤ p < ∞

DOI10.1007/S11253-005-0070-5zbMath1127.42302OpenAlexW4234184872MaRDI QIDQ5693762

S. B. Vakarchuk

Publication date: 28 September 2005

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-005-0070-5

zbMATH Keywords

modulus of continuityJackson type inequalityexact inequality

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (7)

Exact constants in direct and inverse approximation theorems for functions of several variables in the spaces Sp ⋮ Approximation by classical orthogonal polynomials with weight in spaces \(L_{2, \gamma }(a,b)\) and widths of some functional classes ⋮ Extremal problems for numerical series ⋮ Jackson-type inequalities and widths of functional classes in the Musielak-Orlicz type spaces ⋮ On the estimates of widths of the classes of functions defined by the generalized moduli of continuity and majorants in the weighted space \(L_{2,x}(0, 1)\) ⋮ 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

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