APPROXIMATION OF GENERALIZED PĂLTĂNEA AND HEILMANN-TYPE OPERATORS

Authors

  • S. Kumar Delhi Technological University, Department of Applied Mathematics, Bawana Road, Delhi-110042, India Author
  • N. Deo Delhi Technological University, Department of Applied Mathematics, Bawana Road, Delhi-110042, India Author

Keywords:

Difference operators, generalized Păltănea type operators, Heilmann type operators, modulus of continuity, rate of convergence

Subjects:

41A25, 26A15, 41A30

Abstract

In this paper, we study the approximation on differences of two different positive linear operators (generalized Păltănea type operators and M. Heilmann type operators) with same basis functions. We estimates a quantitative difference of these operators in terms of modulus of continuity and Peetre's $K$-functional. We represent the rate of convergence, using modulus of continuity and Peetre's $K$-functional. Also, we represent Heilmann-type operators in terms of hypergeometric series.

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Published

2022-04-15

Issue

Vol. 74 No. 2 (2022): Vol. 74, Issue 2

Section

Articles

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