TRIGONOMETRIC APPROXIMATION BY MATRIX TRANSFORMS IN Lp(x)SPACES

DOI10.1142/S0219530512500030zbMath1242.41015OpenAlexW2157216554MaRDI QIDQ3225691

Ali Guven

Publication date: 22 March 2012

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530512500030

zbMATH Keywords

modulus of continuityLebesgue space with variable exponentLipschitz classmatrix transformNörlund transform

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Rate of convergence, degree of approximation (41A25)

Related Items (12)

Unnamed Item ⋮ Approximation by Nörlund and Riesz means in weighted Lebesgue space with variable exponent ⋮ Some theorems of approximation theory in weighted Smirnov classes with variable exponent ⋮ APPLICATIONS OF CESARO SUBMETHOD TO ` APPROXIMATION OF FUNCTIONS IN WEIGHTED ORLICZ SPACES ⋮ Unnamed Item ⋮ Approximation by matrix transforms in weighted Lebesgue spaces with variable exponent ⋮ Direct and Inverse Theorems in Variable Exponent Smirnov Classes ⋮ Linear methods of approximation in weighted Lebesgue spaces with variable exponent ⋮ Approximation of functions in $ L^{p(x)}_{2\pi}$ by trigonometric polynomials ⋮ Trigonometric approximation of functions from \(L_{2\pi}^{p(x)}\) ⋮ On the trigonometric approximation of functions in weighted Lorentz spaces using Cesáro submethod ⋮ Approximation by matrix transforms in generalized grand Lebesgue spaces with variable exponent

Cites Work

• Using infinite matrices to approximate functions of class Lip\((\alpha ,p)\) using trigonometric polynomials
• Some aspects of approximation theory in the spaces \(L^{p(x)}(E)\)
• An example of a space of \(L^{p(x)}\) on which the Hardy-Littlewood maximal operator is not bounded
• Trigonometric approximation in \(L_{p}\)-norm
• Trigonometric approximation of functions in \(L _{p}\)-norm
• Trigonometric approximation in the mean
• A MEAN CONTINUITY TYPE RESULT FOR CERTAIN SOBOLEV SPACES WITH VARIABLE EXPONENT
• OnL^p(x)norms
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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