Approximation in variable exponent spaces and growth of norms of trigonometric polynomials

DOI10.1007/s10476-022-0183-1OpenAlexW4312062875MaRDI QIDQ2694902

Publication date: 4 April 2023

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-022-0183-1

zbMATH Keywords

Hölder space polynomial of best approximation generalized modulus of smoothness Riesz-Zygmund mean $L^{p(\cdot)}$ space

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)

Cites Work

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Variable Lebesgue spaces. Foundations and harmonic analysis
On converse theorems of trigonometric approximation in weighted variable exponent Lebesgue spaces
On the rate of approximation of functions in Lipschitz norms
Trigonometric approximation of functions in generalized Lebesgue spaces with variable exponent
On approximation of continuous functions in Lipschitz norms
Topology of the space $\mathcal L^{p(t)}([0,t)$]
Uniform boundedness in $L^ p\;(p=p(x))$ of some families of convolution operators
Derivatives of a polynomial of best approximation and modulus of smoothness in generalized Lebesgue spaces with variable exponent
Approximation problems in the Lebesgue spaces with variable exponent
On derivative of trigonometric polynomials and characterizations of modulus of smoothness in weighted Lebesgue space with variable exponent
Derivatives of a polynomial of best approximation
On the fundamental approximation theorems of D. Jackson, S.N. Bernstein and theorems of M. Zamansky and S.B. Stechkin
Trigonometric approximation in generalized Lebesgue spaces L^p(x)
Zur Normierbarkeit eines allgemeinen topologischen linearen Raumes
Approximation of functions in $ L^{p(x)}_{2\pi}$ by trigonometric polynomials
Approximation of functions and their conjugates in variable Lebesgue spaces
Classes de saturation de certains procédés d'approximation des séries de Fourier des fonctions continues et applications à quelques problèmes d'approximation
The Approximation by Partial Sums of Fourier Series

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