Some Approximation Results by $(p,q)$-analogue of Bernstein-Stancu Operators (Revised)

M. Mursaleen; Khursheed J. Ansari; Asif Khan

Some Approximation Results by $(p,q)$-analogue of Bernstein-Stancu Operators (Revised)

Classical Analysis and ODEs 2016-10-12 v2

Authors: M. Mursaleen , Khursheed J. Ansari , Asif Khan

Abstract

In this paper, we have given a corrigendum to our paper "Some Approximation Results by $(p,q)$ -analogue of Bernstein-Stancu Operators" published in Applied Mathematics and Computation $264 (2015) 392-402.$ We introduce a new analogue of Bernstein-Stancu operators and we call it as $(p,q)$ -Bernstein-Stancu operators. We study approximation properties based on Korovkin's type approximation theorem of $(p,q)$ -Bernstein-Stancu operators. We also establish some direct theorems.

Keywords

Bernstein-Stancu operators (p,q)-analogue approximation results Korovkin type theorem direct theorems corrigendum

Cite

@article{arxiv.1602.06288,
  title  = {Some Approximation Results by $(p,q)$-analogue of Bernstein-Stancu Operators (Revised)},
  author = {M. Mursaleen and Khursheed J. Ansari and Asif Khan},
  journal= {arXiv preprint arXiv:1602.06288},
  year   = {2016}
}

Comments

convergence remark added

Some Approximation Results by $(p,q)$-analogue of Bernstein-Stancu Operators (Revised)

Abstract

Keywords

Cite

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