Exact constants in Jackson-type inequalities and exact values of widths

DOI10.1007/S11006-005-0176-YzbMath1239.41007OpenAlexW2027214107MaRDI QIDQ2508742

Yanyan Li

Publication date: 20 October 2006

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

Full work available at URL: https://doi.org/10.1007/s11006-005-0176-y

zbMATH Keywords

Fourier seriesbest approximationJackson-type inequalitywidth estimate

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (15)

Generalized smoothness characteristics in Jackson-type inequalities and widths of classes of functions in \(L_2\) ⋮ Inequalities between best polynomial approximations and some smoothness characteristics in the space \(L_2\) and widths of classes of functions ⋮ On widths of periodic functions in \(L_2\) ⋮ Jackson-Stechkin type inequalities for special moduli of continuity and widths of function classes in the space \(L_2\) ⋮ Exact constants in estimates of approximation of Lipschitz classes of periodic functions by Cesàro means ⋮ Widths of certain classes of periodic functions in \(L_2\) ⋮ Best polynomial approximations in \(L_{2}\) of classes of \(2{\pi}\)-periodic functions and exact values of their widths ⋮ Widths of classes of periodic differentiable functions in the space \(L_{2} [0, 2\pi\)] ⋮ Exact constants in Jackson-type inequalities and exact values of the widths of some classes of functions in \(L_{2}\) ⋮ \(n\)-widths of certain function classes defined by the modulus of continuity ⋮ Widths of some functional classes in the space \(L_2\) on a period ⋮ Structural characteristics of functions from \(L_2\) and the exact values of widths of some functional classes ⋮ Sharp inequalities of Jackson-Stechkin type and widths of classes of functions in $L_{2}$ ⋮ A sharp inequality of Jackson-Stechkin type in \(L_{2}\) and the widths of functional classes ⋮ On the value of the widths of some classes of functions from L_2

Cites Work

• Best approximation in the sense of Kolmogorov of classes of function analytic in the unit disc

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