Korean J. Math. Vol. 22 No. 4 (2014) pp.671-681
DOI: https://doi.org/10.11568/kjm.2014.22.4.671

Statistical convergence for General Beta Operators

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Published: Dec 30, 2014
Keywords:
Beta operators, rate of convergence, statistical convergence.
Mathematics Subject Classification:
41A25, 41A36.

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Naokant Deo
Department of Applied Mathematics Delhi Technological University (Formerly Delhi College of Engineering) Bawana Road, Delhi 110042, India
Mehmet Ali Ozarslan
Department of Mathematics Eastern Mediterranean University Faculty of Arts and Sciences Gazimagusa, Mersin 10, Turkey.
Neha Bhardwaj

Abstract

In this paper, we consider general Beta operators, which is a general sequence of integral type operators including Beta function. We study the King type Beta operators which preserves the third test function $x^2$. We obtain some approximation properties, which include rate of convergence and statistical convergence. Finally, we show how to reach best estimation by these operators.



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References

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