Generating functions for q-Bernstein, q-Meyer-Konig-Zeller and q-Beta basis
Vijay Gupta, Taekyun Kim, Jongsung Choi, Young-Hee Kim
TL;DR
This paper explores the q-analogues of Bernstein, Meyer-Konig-Zeller, and Beta operators by deriving and estimating their generating functions, advancing the mathematical understanding of these basis functions.
Contribution
It introduces estimates for the generating functions of q-Bernstein, q-Meyer-Konig-Zeller, and q-Beta basis functions, providing new insights into their structure.
Findings
Derived explicit estimates for the generating functions
Enhanced understanding of q-analogue basis functions
Potential applications in approximation theory
Abstract
The present paper deals with the q-analogue of Bernstein, Meyer-Konig-Zeller and Beta operators. Here we estimate the generating functions for q-Bernstein, q-Meyer-Konig-Zeller and q-Beta basis functions.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Mathematical Identities · Mathematical functions and polynomials