A Characterization of the Absolute Continuity in Terms of Convergence in Variation for the Sampling Kantorovich Operators View Full Text


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Article Info

DATE

2019-04

AUTHORS

Laura Angeloni, Danilo Costarelli, Gianluca Vinti

ABSTRACT

We study the convergence in variation for the sampling Kantorovich operators in both the cases of averaged-type kernels and classical band-limited kernels. In the first case, a characterization of the space of the absolutely continuous functions in terms of the convergence in variation is obtained.

PAGES

44

References to SciGraph publications

  • 1999. Global smoothness preservation and the variation-diminishing property in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2018-10-09. Extension of Saturation Theorems for the Sampling Kantorovich Operators in COMPLEX ANALYSIS AND OPERATOR THEORY
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  • 2013-02. On Convergence of Chlodovsky and Chlodovsky–Kantorovich Polynomials in the Variation Seminorm in MEDITERRANEAN JOURNAL OF MATHEMATICS
  • 2016-12. On the variation detracting property of operators of Balázs and Szabados in ACTA MATHEMATICA HUNGARICA
  • 1985. Convexity and Variation Diminishing Property of Bernstein Polynomials over Triangles in MULTIVARIATE APPROXIMATION THEORY III
  • 2018-03. Estimates for the Neural Network Operators of the Max-Product Type with Continuous and p-Integrable Functions in RESULTS IN MATHEMATICS
  • 2007-05. Variation diminishing property of densities of uniform generalized order statistics in METRIKA
  • 2015. Real Analysis, Foundations and Functions of One Variable in NONE
  • 2017-11. Convergence of the Bernstein–Durrmeyer Operators in Variation Seminorm in RESULTS IN MATHEMATICS
  • 1993. Constructive Approximation in NONE
  • 1971. Fourier Analysis and Approximation, Vol. 1 One-Dimensional Theory in NONE
  • 2013-04. Lobachevsky spline functions and interpolation to scattered data in COMPUTATIONAL AND APPLIED MATHEMATICS
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  • Journal

    TITLE

    Mediterranean Journal of Mathematics

    ISSUE

    2

    VOLUME

    16

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00009-019-1315-0

    DOI

    http://dx.doi.org/10.1007/s00009-019-1315-0

    DIMENSIONS

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