A new concept of multidimensional variation in the sense of Riesz and applications to integral operators

DOI10.1007/s00009-017-0947-1zbMath1375.26027OpenAlexW2626604056WikidataQ112879300 ScholiaQ112879300MaRDI QIDQ1679143

Laura Angeloni

Publication date: 8 November 2017

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-017-0947-1

zbMATH Keywords

integral representationconvolution integral operatorsconvergence in variationmultidimensional variationRiesz-Medvedev \(\phi \)-variation

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Inequalities involving derivatives and differential and integral operators (26D10) Functions of bounded variation, generalizations (26A45) Functions of several variables (26B99)

Related Items (4)

A note on convolution operators on Riesz Bounded variation spaces ⋮ Multidimensional sampling-Kantorovich operators in \textit{BV}-spaces ⋮ Convolution integral operators in variable bounded variation spaces ⋮ Variation diminishing-type properties for multivariate sampling Kantorovich operators

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