Stancu Polynomials Based on the $q$-Integers

Stancu Polynomials Based on the $q$-Integers

Year:    2012

Analysis in Theory and Applications, Vol. 28 (2012), Iss. 3 : pp. 232–241

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.3969/j.issn.1672-4070.2012.03.003

Analysis in Theory and Applications, Vol. 28 (2012), Iss. 3 : pp. 232–241

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

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