Approximation in weighted Orlicz spaces

DOI10.2478/s12175-011-0031-4zbMath1265.41029OpenAlexW2043063767MaRDI QIDQ3016480

Ramazan Akgün, Daniyal M. Israfilov

Publication date: 15 July 2011

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s12175-011-0031-4

zbMATH Keywords

Orlicz spacemodulus of smoothnessMuckenhoupt weightdirect theoreminverse theorem

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Inverse theorems in approximation theory (41A27)

Related Items (10)

Derivatives of a polynomial of best approximation and modulus of smoothness in generalized Lebesgue spaces with variable exponent ⋮ Banach-Orlicz algebras on a locally compact group ⋮ A modulus of smoothness for some Banach function spaces ⋮ Gadjieva's conjecture, K -functionals, and some applications in weighted Lebesgue spaces ⋮ Jackson-type inequalities and widths of functional classes in the Musielak-Orlicz type spaces ⋮ Simultaneous approximation of functions in Orlicz spaces with Muckenhoupt weights ⋮ Approximation by integral functions of finite degree in variable exponent Lebesgue spaces on the real axis ⋮ Realization and characterization of modulus of smoothness in weighted Lebesgue spaces ⋮ Unnamed Item ⋮ Jackson type inequalities for differentiable functions in weighted Orlicz spaces

Cites Work

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• Approximation by \(p\)-Faber polynomials in the weighted Smirnov class \(E^p(G,\omega)\) and the Bieberbach polynomials
• On Jackson type inequality in Orlicz classes

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