A note on rate of approximation for certain Bézier-Durrmeyer operators

Vijay Gupta; Naokant Deo

Authors

Vijay Gupta School of Applied Sciences, Netaji Subhas Institute of Technology, Sector 3 Dwarka, New Delhi 110078, India Author
Naokant Deo Department of Applied Mathematics, Delhi Technological University (Formerly Delhi College of Engineering), Bawana Road, Delhi 110042, India Author

Keywords:

Linear positive operators, Baskakov and Szász basis functions, summation-integral type operators, Bézier variant, rate of convergence

Subjects:

41A25, 41A30

Abstract

The present paper deals with certain Bézier-Durrmeyer type sequenceof linear positive operators $M_{n, α} (f, x)$ , having different basis functions in summationand integration. We estimate the rate of convergence of these operators $M_{n, α} (f, x)$ , forfunctions having derivatives of bounded variation.

A note on rate of approximation for certain Bézier-Durrmeyer operators

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