Open Access
2014 Lupaş-Durrmeyer operators based on Polya distribution
Vijay Gupta, Themistocles M. Rassias
Banach J. Math. Anal. 8(2): 146-155 (2014). DOI: 10.15352/bjma/1396640060
Abstract

The generalization of the Bernstein polynomials based on Polya distribution is considered in the present article. Here, we introduce a mixed summation-integral type operators having Polya and Bernstein basis functions in summation and integration respectively. We establish some direct results which include an asymptotic formula, local and global approximation results for these operators in terms of modulus of continuity.

Copyright © 2014 Tusi Mathematical Research Group
Vijay Gupta and Themistocles M. Rassias "Lupaş-Durrmeyer operators based on Polya distribution," Banach Journal of Mathematical Analysis 8(2), 146-155, (2014). https://doi.org/10.15352/bjma/1396640060
Published: 2014
Vol.8 • No. 2 • 2014
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