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

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 $M_{n,\alpha}(f,x)$, having different basis functions in summationand integration. We estimate the rate of convergence of these operators $M_{n,\alpha}(f,x)$, forfunctions having derivatives of bounded variation.

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Published

2011-01-15

Issue

Vol. 63 No. 1 (2011): Vol. 63, Issue 1

Section

Articles

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Copyright (c) 2011 Authors retain copyright to their work.

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