Bernstein-Durrmeyer type operators preserving linear functions

Authors

  • Vijay Gupta School of Applied Sciences, Netaji Subhas Institute of Technology, Sector 3 Dwarka, New Delhi-110078, India Author
  • Oktay Duman TOBB Economics and Technology University, Faculty of Arts and Sciences, Department of Mathematics, Söğütözü 06530, Ankara, Turkey Author

Keywords:

Positive linear operators, Korovkin-type approximation theorem, Bernstein-Durrmeyer operators

Subjects:

41A35, 47G10

Abstract

In this paper, in order to converge faster to a function being approximatedwe modify two different Bernstein-Durrmeyer type operators introduced in[5] and [7] such that linear functions are preserved.

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Published

2010-10-15

Issue

Vol. 62 No. 4 (2010): Vol. 62, Issue 4

Section

Articles

License

Copyright (c) 2010 Authors retain copyright to their work.

Creative Commons License

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