Approximation by matrix transforms in weighted Lebesgue spaces with variable exponent

DOI10.1007/s00025-018-0762-4zbMath1390.41006OpenAlexW2793546686MaRDI QIDQ1743213

Daniyal M. Israfilov, Ahmet Testici

Publication date: 13 April 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0762-4

zbMATH Keywords

modulus of smoothnessMuckenhoupt weightsLipschitz classesvariable exponent Lebesgue spacestrigonometric approximationmatrix transforms

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Approximation by polynomials (41A10)

Related Items (11)

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 ⋮ On approximation properties of functions by means of Fourier and Faber series in weighted Lebesgue spaces with variable exponent ⋮ Unnamed Item ⋮ Direct and Inverse Theorems in Variable Exponent Smirnov Classes ⋮ Linear methods of approximation in weighted Lebesgue spaces with variable exponent ⋮ Unnamed Item ⋮ Approximation by matrix transforms in generalized grand Lebesgue spaces with variable exponent ⋮ The Convergence of the Fourier–Jacobi Series in Weighted Variable Exponent Lebesgue Spaces

Cites Work

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• Polynomial approximation of functions in weighted Lebesgue and Smirnov spaces with nonstandard growth
• Approximation in Smirnov classes with variable exponent
• TRIGONOMETRIC APPROXIMATION BY MATRIX TRANSFORMS IN L^p(x)SPACES
• Approximation of functions in $ L^{p(x)}_{2\pi}$ by trigonometric polynomials
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
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