Trigonometric polynomial approximation,K-functionals and generalized moduli of smoothness

DOI10.1070/SM8505zbMath1368.42007OpenAlexW2561151631MaRDI QIDQ5272557

Konstantin V. Runovski

Publication date: 30 June 2017

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm8505

zbMATH Keywords

\(K\)-functionalmodulus of smoothnessbest approximationJackson-type estimatesBernstein-type estimatesfamily of linear polynomial operators

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Multipliers for harmonic analysis in several variables (42B15) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Fourier series and coefficients in several variables (42B05)

Related Items (7)

Approximation by families of generalized sampling series, realizations of generalized \(\mathcal{K} \)-functionals and generalized moduli of smoothness ⋮ Realizations of mixed generalized \(K\)-functionals ⋮ Periodic Besov spaces and generalized moduli of smoothness ⋮ Harmonic analysis of functions in homogeneous spaces and harmonic distributions that are periodic or almost periodic at infinity ⋮ Generalized smoothness and approximation of periodic functions in the spaces \(L_p\), \(1 < p < +\infty \) ⋮ Multiplicator type operators and approximation of periodic functions of one variable by trigonometric polynomials ⋮ Besov spaces with generalized smoothness and summability of multiple Fourier series

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