A characterization of the rate of approximation of Kantorovich sampling operators in variable exponent Lebesgue spaces

DOI10.1007/s13398-024-01571-6zbMATH Open1539.41014MaRDI QIDQ6542373

Publication date: 22 May 2024

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

zbMATH Keywords

modulus of smoothness variable exponent Lebesgue space sampling operator converse estimate direct estimate Kantorovich sampling operator

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Rate of convergence, degree of approximation (41A25)

Cites Work

Trigonometric approximation of functions in generalized Lebesgue spaces with variable exponent
Some aspects of approximation theory in the spaces $L^{p(x)}(E)$
Approximation problems in the Lebesgue spaces with variable exponent
Inverse results of approximation and the saturation order for the sampling Kantorovich series
Approximation with scaled shift-invariant spaces by means of quasi-projection operators
Convergence of sampling Kantorovich operators in modular spaces with applications
Uniform approximation by multivariate quasi-projection operators
Approximation properties of the sampling Kantorovich operators: regularization, saturation, inverse results and Favard classes in $L^p$-spaces
Linear prediction and simultaneous approximation by $m$-th order Kantorovich type sampling series
Approximation by multivariate quasi-projection operators and Fourier multipliers
Saturation by the Fourier transform method for the sampling Kantorovich series based on bandlimited kernels
Extension of saturation theorems for the sampling Kantorovich operators
Approximation by multivariate Kantorovich-Kotelnikov operators
Trigonometric approximation in generalized Lebesgue spaces L^p(x)
Polynomial approximation of functions in weighted Lebesgue and Smirnov spaces with nonstandard growth
Convolution type operators inl^p(x)
Hardy-Littlewood maximal operator on L^p(x) (ℝ)
Approximation of functions in $ L^{p(x)}_{2\pi}$ by trigonometric polynomials
Multivariate sampling Kantorovich operators: quantitative estimates in Orlicz spaces
A Quantitative Estimate for the Sampling Kantorovich Series in Terms of the Modulus of Continuity in Orlicz Spaces
Approximation by sampling‐type operators in Lp‐spaces
An Inverse Result of Approximation by Sampling Kantorovich Series
Strong converse inequalities
A characterization of the rate of the simultaneous approximation by generalized sampling operators and their Kantorovich modification
Approximation results by multivariate sampling Kantorovich series in Musielak-Orlicz spaces
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