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arxiv: 1604.05339 · v5 · pith:KXFXP2CBnew · submitted 2016-04-03 · 🧮 math.CA

Statistical approximation by (p,q)-analogue of Bernstein-Stancu Operators

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keywords operatorsapproximationbernstein-stancuanaloguebeenconvergencemeansmodulus
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In this paper, some approximation properties of $(p,q)$-analogue of Bernstein-Stancu Operators has been studied. Rate of statistical convergence by means of modulus of continuity and Lipschitz type maximal functions has been investigated. Monotonicity of $(p,q)$-Bernstein-Stancu Operators and a global approximation theorem by means of Ditzian-Totik modulus of smoothness is established. A quantitative Voronovskaja type theorem is developed for these operators. Furthermore, we show comparisons and some illustrative graphics for the convergence of operators to a function

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