Stancu Polynomials Based on the $q$-Integers

Xueyan Xiang

doi:10.3969/j.issn.1672-4070.2012.03.003

Stancu Polynomials Based on the $q$-Integers

Authors

Xueyan Xiang

DOI:

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

Keywords:

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

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.

Downloads

Preview
Full PDF

Published

2012-10-08

Abstract View

44372

Pdf View

4689

Issue

Vol. 28 No. 3 (2012)

Section

Articles

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