scientific article; zbMATH DE number 6123776

zbMath1266.42003MaRDI QIDQ4899795

Konstantin V. Runovski, Hans-Juergen Schmeisser

Publication date: 9 January 2013

Full work available at URL: http://mathnet.ru/eng/emj65

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zbMATH Keywords

stochastic approximationtrigonometric approximationFourier mean\(L_p\)-convergence \(0< p\leq+\infty\)classical kernels and summability methodsfamily of linear trigonometric polynomial operators

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Trigonometric approximation (42A10) Trigonometric interpolation (42A15) Summability in several variables (42B08) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (14)

Nonperiodic modulus of smoothness corresponding to the Riesz derivative ⋮ Approximation by Fourier means and generalized moduli of smoothness ⋮ Best polynomial approximations and widths of classes of functions in the space \(L_2\) ⋮ Quality of approximation by Fourier means in terms of general moduli of smoothness ⋮ Approximation by families of generalized sampling series, realizations of generalized \(\mathcal{K} \)-functionals and generalized moduli of smoothness ⋮ Periodic Besov spaces and generalized moduli of smoothness ⋮ Mixed generalized modulus of smoothness and approximation by the ``angle of trigonometric polynomials ⋮ Moduli of smoothness related to fractional Riesz-derivatives ⋮ Generalized characteristics of smoothness and some extreme problems of the approximation theory of functions in the space \(L_2(\mathbb{R})\). II ⋮ On estimates in \(L_2(\mathbb{R} )\) of mean \(\nu \)-widths of classes of functions defined via the generalized modulus of continuity of \(\omega_\mathcal{M} \) ⋮ Direct Jackson-type estimate for the general modulus of smoothness in the nonperiodic case ⋮ Unnamed Item ⋮ Generalized characteristics of smoothness and some extreme problems of the approximation theory of functions in the space \(L_2(\mathbb{R})\). I ⋮ A direct theorem of approximation theory for a general modulus of smoothness

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