General convergence theorem with respect to Cesari variation and applications

DOI10.1016/0362-546X(94)90171-6zbMath0798.49015OpenAlexW2048893907MaRDI QIDQ4290963

Gianluca Vinti, Carlo Bardaro

Publication date: 17 October 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)90171-6

zbMATH Keywords

density theoremCesari variation

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Linear operator approximation theory (47A58)

Related Items (6)

A general approximation result for nonlinear integral operators and applications to signal processing^* ⋮ A characterization of the convergence in variation for the generalized sampling series ⋮ A characterization of the absolute continuity in terms of convergence in variation for the sampling Kantorovich operators ⋮ The work of calogero vinti in approximation theory and its impact in calculus of variations ⋮ Approximation with Respect to Goffman–Serrin Variation by Means of Non-Convolution Type Integral Operators ⋮ A survey on recent results of the mathematical seminar in Perugia, inspired by the work of Professor P. L. Butzer

Cites Work

• Distributionen, Funktionen beschränkter Variation und Lebesguescher Inhalt nichtparametrischer Flächen
• On approximation properties of certain non-convolution integral operators
• On convergence in area in the generalized sense
• The sampling theorem and linear prediction in signal analysis
• On the differentiability of functions of several variables
• Funzioni BV e tracce
• Sublinear functions of measures and variational integrals
• On the Definition and Properties of Certain Variational Integrals
• On convergence in variation
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