English

On King Type Modification of $(p,q)$ Baskakov Operators which preserves $x^2$

Classical Analysis and ODEs 2016-03-23 v2

Abstract

In the present paper, we construct and investigate a variant of modified (p,q)(p,q)-Baskakov operators, which reproduce the test function x2x^2. The order of approximation of the operators via K-functional and second order, usual modulus of continuity, weighted approximation properties are disscussed. In the end some graphical results, comparison with (p,q)(p,q)-Baskakov operators is explained.

Keywords

Cite

@article{arxiv.1603.05510,
  title  = {On King Type Modification of $(p,q)$ Baskakov Operators which preserves $x^2$},
  author = {Shikha Pandey and Vishnu Narayan Mishra and L N Mishra},
  journal= {arXiv preprint arXiv:1603.05510},
  year   = {2016}
}

Comments

8 pages, 1 figure