Korovkin type approximation theorem in $A^{\Cal I}_{2}$-statistical sense

Authors

  • Sudipta Dutta Department of Mathematics, Jadavpur University, Jadavpur, Kol-32, West Bengal, India Author
  • Pratulananda Das Department of Mathematics, Jadavpur University, Jadavpur, Kol-32, West Bengal, India Author

Keywords:

Ideal, $A^\Cal {I}_2$-statistical convergence, positive linear operator, Korovkin type approximation theorem, rate of convergence

Subjects:

40A35, 47B38, 41A25, 41A36

Abstract

In this paper we consider the notion of $A^\Cal {I}_2$-statistical convergencefor real double sequences which is an extension of the notion of $A^\Cal {I}$-statistical convergencefor real single sequences introduced by Savas, Das and Dutta. We primarily applythis new notion to prove a Korovkin type approximation theorem.In the last section, we study the rate of $A^\Cal {I}_2$-statistical convergence.

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Published

2015-10-15

Issue

Vol. 67 No. 4 (2015): Vol. 67, Issue 4

Section

Articles

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Copyright (c) 2015 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.