Volume 28, Issue 3
Stancu Polynomials Based on the $q$-Integers

Anal. Theory Appl., 28 (2012), pp. 232-241.

Published online: 2012-10

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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.

41A10

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@Article{ATA-28-232, author = {}, title = {Stancu Polynomials Based on the $q$-Integers}, journal = {Analysis in Theory and Applications}, year = {2012}, volume = {28}, number = {3}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.3969/j.issn.1672-4070.2012.03.003}, url = {http://global-sci.org/intro/article_detail/ata/4558.html} }
TY - JOUR T1 - Stancu Polynomials Based on the $q$-Integers JO - Analysis in Theory and Applications VL - 3 SP - 232 EP - 241 PY - 2012 DA - 2012/10 SN - 28 DO - http://doi.org/10.3969/j.issn.1672-4070.2012.03.003 UR - https://global-sci.org/intro/article_detail/ata/4558.html KW - Stancu polynomial, $q$-integer, $q$-derivative, shape-preserving property, convergence rate, modulus of continuity. AB -

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.

Xueyan Xiang. (1970). Stancu Polynomials Based on the $q$-Integers. Analysis in Theory and Applications. 28 (3). 232-241. doi:10.3969/j.issn.1672-4070.2012.03.003
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