Improved converse theorems and fractional moduli of smoothness in Orlicz spaces

zbMath1268.41013MaRDI QIDQ1941007

Ramazan Akgün

Publication date: 11 March 2013

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: http://math.usm.my/bulletin/html/vol36_1_5.html

zbMATH Keywords

Orlicz spacetrigonometric approximationinverse approximationfractional modulus of smoothness

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by other special function classes (41A30) Inverse theorems in approximation theory (41A27)

Related Items (8)

Derivatives of a polynomial of best approximation and modulus of smoothness in generalized Lebesgue spaces with variable exponent ⋮ Unnamed Item ⋮ Approximation of periodic functions by Zygmund means in Orlicz spaces ⋮ Intrinsic square function characterizations of Hardy spaces with variable exponents ⋮ Weighted ergodic theorem for contractions of Orlicz-Kantorovich lattice \(L_M(\widehat \nabla,\widehat \mu\)) ⋮ On moduli of smoothness of functions in Orlicz spaces ⋮ Simultaneous approximation properties of de la Vallée-Poussin means in weighted Orlicz spaces ⋮ CONVERSE THEOREM OF THE APPROXIMATION THEORY OF FUNCTIONS IN MORREY-SMIRNOV CLASSES RELATED TO THE DERIVATIVES OF FUNCTIONS

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