Statistical $$\fancyscript{A}$$ A -summation process and Korovkin type approximation theorem on modular spaces

Statistical $$\fancyscript{A}$$ A -summation process and Korovkin type approximation theorem... In this paper, we obtain an extension of the classical Korovkin theorem for a sequence of positive linear operators on a modular space using a statistical $$\fancyscript{A}$$ A -summation process. Also, we give an example which satisfies this theorem. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Statistical $$\fancyscript{A}$$ A -summation process and Korovkin type approximation theorem on modular spaces

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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/s11117-013-0269-x
Publisher site
See Article on Publisher Site

Abstract

In this paper, we obtain an extension of the classical Korovkin theorem for a sequence of positive linear operators on a modular space using a statistical $$\fancyscript{A}$$ A -summation process. Also, we give an example which satisfies this theorem.

Journal

PositivitySpringer Journals

Published: Dec 31, 2013

References

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