Moduli of smoothness related to fractional Riesz-derivatives

DOI10.4171/ZAA/1531zbMath1309.42002MaRDI QIDQ2259317

Konstantin V. Runovski, Hans-Juergen Schmeisser

Publication date: 3 March 2015

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

Riesz meansmoduli of smoothness\(K\)-functionalstrigonometric approximationJackson-type estimatesfractional Riesz-derivativesinverse Bernstein-type estimates

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Fractional derivatives and integrals (26A33) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (4)

Approximation by families of generalized sampling series, realizations of generalized \(\mathcal{K} \)-functionals and generalized moduli of smoothness ⋮ Mixed generalized modulus of smoothness and approximation by the ``angle of trigonometric polynomials ⋮ 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

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