A strong converse inequality for generalized sampling operators

DOI10.1007/s43034-022-00185-6zbMath1504.41014OpenAlexW4288765272MaRDI QIDQ2134738

Tuncer Acar, Borislav R. Draganov

Publication date: 3 May 2022

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43034-022-00185-6

zbMATH Keywords

\(K\)-functionalmodulus of smoothnessdirect inequalityBernstein-type inequalitysaturationJackson-type inequalitysampling seriesstrong converse inequalitysampling operatorconverse estimateVoronovskaja-type inequality

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inverse theorems in approximation theory (41A27)

Related Items (4)

A characterization of the rate of the simultaneous approximation by generalized sampling operators and their Kantorovich modification ⋮ Approximation results for Hadamard-type exponential sampling Kantorovich series ⋮ Bivariate generalized Kantorovich-type exponential sampling series ⋮ Integral Baskakov type operator with quadratic order of approximation

Cites Work

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• Sampling theory with average values on the Sierpinski gasket
• Asymptotic formulae for linear combinations of generalized sampling operators
• Rate of approximation for multivariate sampling Kantorovich operators on some functions spaces
• A Voronovskaya-type theorem for a general class of discrete operators
• Approximation error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals
• The sampling theorem and linear prediction in signal analysis
• Approximation of continuous and discontinuous functions by generalized sampling series
• Approximation error for quasi-interpolators and (multi-)wavelet expansions
• The lower estimate for linear positive operators. II
• Inverse results of approximation and the saturation order for the sampling Kantorovich series
• On the convergence and saturation problem of a sequence of discrete linear operators of exponential type in \(L_ p(-\infty,\infty)\) spaces
• Approximation by families of generalized sampling series, realizations of generalized \(\mathcal{K} \)-functionals and generalized moduli of smoothness
• Linear prediction and simultaneous approximation by \(m\)-th order Kantorovich type sampling series
• Saturation by the Fourier transform method for the sampling Kantorovich series based on bandlimited kernels
• Extension of saturation theorems for the sampling Kantorovich operators
• Detection of thermal bridges from thermographic images by means of image processing approximation algorithms
• The special functions and their approximations. Vol. I, II
• Cardinal interpolation and spline functions
• Sur le multiplicateurs d'interpolation
• A class of spline functions for landmark-based image registration
• Reconstruction Algorithms in Irregular Sampling
• A sampling theorem for duration-limited functions with error estimates
• Approximation by Bernstein Polynomials
• Approximation by generalized Shannon sampling operators generated by band‐limited kernels
• Prediction by Samples From the Past With Error Estimates Covering Discontinuous Signals
• Generalization of Bernstein's polynomials to the infinite interval
• On the degree of approximation by Bernstein polynomials
• Strong converse inequalities

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