Approximation in Banach space by linear positive operators

Approximation in Banach space by linear positive operators In this paper, we obtain a sufficient condition for the convergence of positive linear operators in Banach function spaces on $${\mathbb {R}}^n$$ R n and derive a Korovkin type theorem for these spaces. Also, we generalized this result via statistical sense. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Approximation in Banach space by linear positive operators

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Publisher
Springer Basel
Copyright
Copyright © 2013 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/s11117-013-0264-2
Publisher site
See Article on Publisher Site

Abstract

In this paper, we obtain a sufficient condition for the convergence of positive linear operators in Banach function spaces on $${\mathbb {R}}^n$$ R n and derive a Korovkin type theorem for these spaces. Also, we generalized this result via statistical sense.

Journal

PositivitySpringer Journals

Published: Dec 12, 2013

References

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

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