Approximation properties in \(L_ p\), \(0

zbMath0826.42003MaRDI QIDQ1343493

Edward Belinskij, Elijah Liflyand

Publication date: 19 November 1995

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

zbMATH Keywords

trigonometric polynomialsbest approximationfractional derivativede la Vallée-Poussin means

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Rate of convergence, degree of approximation (41A25)

Related Items (7)

Inequalities for the fractional derivatives of trigonometric polynomials in spaces with integral metrics ⋮ Weighted fractional Bernstein's inequalities and their applications ⋮ On generalized \(K\)-functionals in \(L_p\) for \(0<p<1\) ⋮ On moduli of smoothness and \(K\)-functionals of fractional order in the Hardy spaces ⋮ Generalized smoothness and approximation of periodic functions in the spaces \(L_p\), \(1 < p < +\infty \) ⋮ The Bernstein-Szegő inequality for fractional derivatives of trigonometric polynomials ⋮ Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\)

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