Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On Approximation by Post-Widder and Stancu Operators Preserving x2

  • Received : 2007.06.19
  • Accepted : 2007.10.23
  • Published : 2009.03.31
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Abstract

In the papers [5]-[7] was examined approximation of functions by the modified Sz$\'{a}$sz-Mrakyan operators and other positive linear operators preserving $e_2(x)=x^2$. In this paper we introduce the Post-Widder and Stancu operators preserving $x^2$ in polynomial weighted spaces. We show that these operators have better approximation properties than classical Post-Widder and Stancu operators.

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References

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Cited by

  1. Convergence by modified Post-Widder operators pp.1579-1505, 2018, https://doi.org/10.1007/s13398-018-0562-4