Note on the Modified q-Bernstein Polynomials
Taekyun Kim, Lee-Chae Jang, Heungsu Yi

TL;DR
This paper introduces modified q-Bernstein polynomials that differ from existing versions, providing new recurrence relations and expanding the mathematical understanding of these polynomials.
Contribution
The paper proposes a new form of q-Bernstein polynomials and derives novel recurrence formulas for them.
Findings
Derived new recurrence relations for the modified q-Bernstein polynomials.
Established differences between the modified and original q-Bernstein polynomials.
Enhanced the theoretical framework of q-Bernstein polynomials.
Abstract
In the present paper, we propose the modified q-Bernstein polynomials of degree n, which are different q-Bernstein polynomials of Phillips(see [4]). From these the modified q-Bernstein polynomials of degree n, we derive some interesting recurrence formulae for the modified q-Bernstein polynomials.
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Taxonomy
TopicsAdvanced Mathematical Identities · Approximation Theory and Sequence Spaces · Advanced Mathematical Theories and Applications
