Simultaneous and converse approximation theorems in weighted Orlicz spaces

zbMath1192.46025MaRDI QIDQ961972

Ramazan Akgün, Daniyal M. Israfilov

Publication date: 1 April 2010

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1267798496

zbMATH Keywords

inverse theoremsweighted Orlicz spaceweighted fractional modulus of smoothness

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) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Inverse theorems in approximation theory (41A27)

Related Items (10)

Approximating polynomials for functions of weighted Smirnov-Orlicz spaces ⋮ Approximation of periodic functions by Zygmund means in Orlicz spaces ⋮ Gadjieva's conjecture, K -functionals, and some applications in weighted Lebesgue spaces ⋮ Weighted variable exponent grand Lebesgue spaces and inequalities of approximation ⋮ On moduli of smoothness of functions in Orlicz spaces ⋮ Trigonometric approximation of functions in generalized Lebesgue spaces with variable exponent ⋮ Realization and characterization of modulus of smoothness in weighted Lebesgue spaces ⋮ Unnamed Item ⋮ Simultaneous approximation properties of de la Vallée-Poussin means in weighted Orlicz spaces ⋮ Jackson type inequalities for differentiable functions in weighted Orlicz spaces

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