Sharp Jackson-Stechkin inequality in \(L_2\) with the modulus of continuity generated by an arbitrary finite-difference operator with constant coefficients
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Publication:859233
zbMath1259.41020MaRDI QIDQ859233
Publication date: 12 January 2007
Published in: Doklady Mathematics (Search for Journal in Brave)
Related Items (10)
On widths of periodic functions in \(L_2\) ⋮ On the estimates of the values of various widths of classes of functions of two variables in the weight space \(L_{2, \gamma } ( \mathbb{R}^2)\), \(\gamma = \exp ( - x^2 - y^2)\) ⋮ Widths of certain classes of periodic functions in \(L_2\) ⋮ 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-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 ⋮ \(n\)-widths of certain function classes defined by the modulus of continuity ⋮ On estimates in \(L_2(\mathbb{R} )\) of mean \(\nu \)-widths of classes of functions defined via the generalized modulus of continuity of \(\omega_\mathcal{M} \) ⋮ Widths of some functional classes in the space \(L_2\) on a period ⋮ Jackson-Stechkin-type inequalities for the approximation of elements of Hilbert spaces ⋮ Generalized characteristics of smoothness and some extreme problems of the approximation theory of functions in the space \(L_2(\mathbb{R})\). I
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