Refined estimates of trigonometric approximation for functions with generalized derivatives in weighted variable exponent Lebesgue spaces

DOI10.1515/GMJ-2012-0041zbMath1263.46029OpenAlexW1988250457MaRDI QIDQ4902710

Ramazan Akgün, Vakhtang Kokilashvili

Publication date: 17 January 2013

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2012-0041

zbMATH Keywords

moduli of smoothnessMuckenhoupt weightvariable exponent Lebesgue spacestrigonometric 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)

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Approximation by integral functions of finite degree in variable exponent Lebesgue spaces on the real axis ⋮ Convolution and Jackson inequalities in Musielak–Orlicz spaces

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