q-Bernstein polynomials associated with q-stirling numbers and Carlitz's q-Bernoulli numbers
Taekyun Kim, Younghee Kim, Jongsoung Choi
TL;DR
This paper explores properties of q-Bernstein polynomials linked to q-stirling numbers and Carlitz's q-Bernoulli numbers, extending Kim's q-extensions and analyzing their mathematical characteristics.
Contribution
It introduces new properties of q-Bernstein polynomials associated with q-stirling numbers and Carlitz's q-Bernoulli numbers, expanding the understanding of q-extensions.
Findings
Derived properties of q-Bernstein polynomials linked to q-stirling numbers
Connected q-Bernstein polynomials with Carlitz's q-Bernoulli numbers
Enhanced the theoretical framework of q-extensions in polynomial analysis
Abstract
Recently, Kim proposed interesting q-extension of Bernstein polynomials and positive linear operators on C[0,1] which are different Phillips' q-Bernstein polynomials. From Kim's q-Bernstein polynomials, we investigate some interesting properties of q-Bernstein polynomials associated with q-stirling numbers and Carlitz's q-Bernoulli numbers
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Advanced Mathematical Identities · Mathematical functions and polynomials