Multidimensional sampling-Kantorovich operators in BV -spaces
Abstract: The main purpose of this article is to prove a result of convergence in variation for a family of multidimensional sampling-Kantorovich operators in the case of averaged-type kernels. The setting in which we work is that one of BV-spaces in the sense of Tonelli.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Multidimensional sampling-Kantorovich operators in BV -spaces ; volume:21 ; number:1 ; year:2023 ; extent:12
Open mathematics ; 21, Heft 1 (2023) (gesamt 12)
- Creator
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Angeloni, Laura
Vinti, Gianluca
- DOI
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10.1515/math-2022-0573
- URN
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urn:nbn:de:101:1-2023042514290938812260
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:52 AM CEST
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Associated
- Angeloni, Laura
- Vinti, Gianluca
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Convergence of sampling Kantorovich operators in modular spaces with applications
Quantitative estimates for perturbed sampling Kantorovich operators in Orlicz spaces
Boundedness of multidimensional Hausdorff operator on Hardy-Morrey and Besov-Morrey spaces
Approximation results in Sobolev and fractional Sobolev spaces by sampling Kantorovich operators
On the convergence properties of sampling Durrmeyer‐type operators in Orlicz spaces
Multi-Dimensional Summation-by-Parts Operators for General Function Spaces: Theory and Construction
Classical and multidimensional Lorentz spaces
Some remarks on Vainikko integral operators in BV type spaces
OPERATOR-VALUED MULTIPLICATION OPERATORS ON WEIGHTED FUNCTION SPACES
Multiplication operators in BV spaces
Efficient Multidimensional Sampling
Convergence of Perturbed Sampling Kantorovich Operators in Modular Spaces
Convergence of sampling Kantorovich operators in modular spaces with applications
Quantitative estimates for perturbed sampling Kantorovich operators in Orlicz spaces
Boundedness of multidimensional Hausdorff operator on Hardy-Morrey and Besov-Morrey spaces
Approximation results in Sobolev and fractional Sobolev spaces by sampling Kantorovich operators
On the convergence properties of sampling Durrmeyer‐type operators in Orlicz spaces
Multi-Dimensional Summation-by-Parts Operators for General Function Spaces: Theory and Construction
Classical and multidimensional Lorentz spaces
Some remarks on Vainikko integral operators in BV type spaces
OPERATOR-VALUED MULTIPLICATION OPERATORS ON WEIGHTED FUNCTION SPACES
Multiplication operators in BV spaces
Efficient Multidimensional Sampling
Convergence of Perturbed Sampling Kantorovich Operators in Modular Spaces
Convergence of sampling Kantorovich operators in modular spaces with applications
Quantitative estimates for perturbed sampling Kantorovich operators in Orlicz spaces
Boundedness of multidimensional Hausdorff operator on Hardy-Morrey and Besov-Morrey spaces
Approximation results in Sobolev and fractional Sobolev spaces by sampling Kantorovich operators
On the convergence properties of sampling Durrmeyer‐type operators in Orlicz spaces
Multi-Dimensional Summation-by-Parts Operators for General Function Spaces: Theory and Construction
Classical and multidimensional Lorentz spaces
Some remarks on Vainikko integral operators in BV type spaces