Simultaneous approximation of functions in Orlicz spaces with Muckenhoupt weights

DOI10.1080/17476933.2016.1142538zbMath1343.42003OpenAlexW2339217429MaRDI QIDQ5739809

Ramazan Akgün, Hüseyin Koç

Publication date: 20 July 2016

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2016.1142538

zbMATH Keywords

modulus of smoothnessMuckenhoupt weightsdirect theoreminverse theoremweighted Orlicz spacessimultaneous trigonometric approximation

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Trigonometric approximation (42A10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Simultaneous approximation (41A28) Inverse theorems in approximation theory (41A27)

Related Items (2)

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Cites Work

• Maximal functions, Riesz potentials and Sobolev embeddings on Musielak-Orlicz-Morrey spaces of variable exponent in \(\mathbb{R}^n\)
• Approximation in weighted Orlicz spaces
• On maximal functions in Orlicz spaces
• On approximation by trigonometric polynomials in Orlicz spaces
• Approximation of conjugate functions by trigonometric polynomials in weighted Orlicz spaces
• Approximation by trigonometric polynomials in weighted Orlicz spaces
• On approximation in weighted Smirnov–Orlicz classes

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