Statistical approximation by double sequences of positive linear operators on modular spaces

Statistical approximation by double sequences of positive linear operators on modular spaces In this paper, using the concept of statistical convergence, which is stronger than the Pringsheim convergence, we study the problem of approximation to a function by means of double sequences of positive linear operators defined on a modular space. Also, a non-trivial application is presented. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Statistical approximation by double sequences of positive linear operators on modular spaces

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Publisher
Springer Basel
Copyright
Copyright © 2014 by Springer Basel
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-014-0280-x
Publisher site
See Article on Publisher Site

Abstract

In this paper, using the concept of statistical convergence, which is stronger than the Pringsheim convergence, we study the problem of approximation to a function by means of double sequences of positive linear operators defined on a modular space. Also, a non-trivial application is presented.

Journal

PositivitySpringer Journals

Published: Feb 27, 2014

References

  • Abstract Korovkin-type theorems in modular spaces and applications
    Bardaro, C; Boccuto, A; Dimitriou, X; Mantellini, I

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