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Some Applications of New Modified -Integral Type Operators

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  • R. P. Pathak
  • Shiv Kumar Sahoo

Abstract

We introduce a new sequence of -integral operators. We show that it is a weighted approximation process in the polynomial space of continuous functions defined on unit interval. Weighted statistical approximation theorem, Korovkin type theorems for fuzzy continuous functions, and an estimate for the rate of convergence for these operators.

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  • R. P. Pathak & Shiv Kumar Sahoo, 2015. "Some Applications of New Modified -Integral Type Operators," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2015, pages 1-7, August.
    • Handle: RePEc:hin:jijmms:874178
    DOI: 10.1155/2015/874178
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