On approximation by trigonometric polynomials in Orlicz spaces

DOI10.1515/gmj-2012-0043zbMath1259.42002OpenAlexW1986271213MaRDI QIDQ4902715

Sadulla Z. Jafarov, Jamal I. Mamedkhanov

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-2012-0043

zbMATH Keywords

Orlicz spacemodulus of smoothnessbest approximationYoung functionBoyd indices

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)

Related Items (6)

Derivatives of a polynomial of best approximation and modulus of smoothness in generalized Lebesgue spaces with variable exponent ⋮ Approximation of periodic functions by Zygmund means in Orlicz spaces ⋮ Simultaneous approximation of functions in Orlicz spaces with Muckenhoupt weights ⋮ Convolution and Jackson inequalities in Musielak–Orlicz spaces ⋮ On moduli of smoothness of functions in Orlicz spaces ⋮ CONVERSE THEOREM OF THE APPROXIMATION THEORY OF FUNCTIONS IN MORREY-SMIRNOV CLASSES RELATED TO THE DERIVATIVES OF FUNCTIONS

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