Stancu Polynomials Based on the $q$-Integers

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Abstract

A new generalization of Stancu polynomials based on the $q$-integers and a nonnegative integer $s$ is firstly introduced in this paper. Moreover, the shape-preserving and convergence properties of these polynomials are also investigated.

Keywords:

Stancu polynomial $q$-integer $q$-derivative shape-preserving property convergence rate modulus of continuity.
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DOI

10.3969/j.issn.1672-4070.2012.03.003

How to Cite

Stancu Polynomials Based on the $q$-Integers. (2012). Analysis in Theory and Applications, 28(3), 232-241. https://doi.org/10.3969/j.issn.1672-4070.2012.03.003
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