Convergence properties of Durrmeyer-type sampling operators

DOI10.1007/S40314-024-02918-WzbMATH Open1547.41016MaRDI QIDQ6616170

Vaibhav Sharma, Vijay K. Gupta

Publication date: 8 October 2024

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

modulus of continuity\(K\)-functionalcompositionweighted approximationgeneralized sampling operatorsDurrmeyer-type sampling operators

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) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Linear operators on function spaces (general) (47B38) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Cites Work

• Title not available (Why is that?)
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• Title not available (Why is that?)
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• Asymptotic formulae for linear combinations of generalized sampling operators
• Asymptotic formulae for multivariate Kantorovich type generalized sampling series
• Order of approximation for sampling Kantorovich operators
• Rate of approximation for nonlinear integral operators with application to signal processing
• Approximation by means of nonlinear Kantorovich sampling type operators in Orlicz spaces
• Approximation of continuous and discontinuous functions by generalized sampling series
• On the functions which are represented by the expansions of the interpolation-theory.
• The max-product generalized sampling operators: convergence and quantitative estimates
• Quantitative estimates for Durrmeyer-sampling series in Orlicz spaces
• Convergence of generalized sampling series in weighted spaces
• Application of the sampling theorem to time-varying systems
• A comparison between the sampling Kantorovich algorithm for digital image processing with some interpolation and quasi-interpolation methods
• Some applications for Kramer's generalized sampling theorem
• Exact interpolation theorems for Lipschitz continuous functions
• Quantitative Voronovskaja formulae for generalized Durrmeyer sampling type series
• Approximation by Nonlinear Multivariate Sampling Kantorovich Type Operators and Applications to Image Processing
• Generalized Sampling Approximation of Bivariate Signals: Rate of Pointwise Convergence
• Five short stories about the cardinal series
• Sampling Theory for not Necessarily Band-Limited Functions: A Historical Overview
• A sampling theorem for duration-limited functions with error estimates
• The Shannon Sampling Series and the Reconstruction of Signals in Terms of Linear, Quadratic and Cubic Splines
• A characterization of the convergence in variation for the generalized sampling series
• A fast converging sampling operator
• Approximation by Sampling Durrmeyer Operators in Weighted Space of Functions
• On the convergence properties of sampling Durrmeyer‐type operators in Orlicz spaces
• Approximation by modified generalized sampling series
• The multivariate Durrmeyer-sampling type operators in functional spaces

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