Localization results for the non-truncated max-product sampling operators based on Fejér and sinc-type kernels

DOI10.1515/dema-2016-0005zbMath1347.41027OpenAlexW2332412345MaRDI QIDQ253742

Lucian C. Coroianu, Sorin Gheorghe Gal

Publication date: 8 March 2016

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2016-0005

zbMATH Keywords

signal theoryLipschitz function on subintervalslocal direct resultmax-product sampling operators

Mathematics Subject Classification ID

Approximation by positive operators (41A36)

Related Items (8)

Lagrange-Sturm-Liouville processes ⋮ On the convergence of generalizations of the sinc approximations on the Privalov–Chanturia class ⋮ Sufficient condition for convergence of Lagrange-Sturm-Liouville processes in terms of one-sided modulus of continuity ⋮ A summation method for trigonometric Fourier series based on sinc-approximations ⋮ The Principle of Localization at the Class of Functions Integrable in the Riemann for the Processes of Lagrange –Sturm – Liouville ⋮ On the uniform approximation of functions of bounded variation by Lagrange interpolation polynomials with a matrix of Jacobi nodes ⋮ A criterion of convergence of Lagrange-Sturm-Liouville processes in terms of one-sided module of variation ⋮ Convergence of the Lagrange-Sturm-Liouville Processes for Continuous Functions of Bounded Variation

Cites Work

• Approximation error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals
• A criterion for the uniform convergence of sinc-approximations on a segment
• Approximation and shape preserving properties of the Bernstein operator of max-product kind
• The sampling theorem and linear prediction in signal analysis
• A possibilistic approach of the max-product Bernstein kind operators
• Localization Results for the Meyer-König and Zeller Max-Product Operator
• Approximation and Shape Preserving Properties of the Nonlinear Meyer–König and Zeller Operator of Max-Product Kind
• The Shannon Sampling Series and the Reconstruction of Signals in Terms of Linear, Quadratic and Cubic Splines
• Prediction by Samples From the Past With Error Estimates Covering Discontinuous Signals
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