Bernstein polynomials on Simplex
A. Bayad, T. Kim, S.-H. Rim
TL;DR
This paper establishes identities and explores approximation properties of multivariate Bernstein polynomials on simplexes, including their q-analogues, enhancing understanding of their theoretical and practical applications.
Contribution
It introduces new identities for multivariate Bernstein polynomials on simplexes and investigates their approximation capabilities and higher-dimensional q-analogues.
Findings
Proved two identities for multivariate Bernstein polynomials on simplex.
Analyzed approximation properties for continuous functions on simplex.
Explored higher-dimensional q-analogues of Bernstein polynomials.
Abstract
We prove two identities for multivariate Bernstein polynomials on simplex, which are considered on a pointwise. In this paper, we study good approximations of Bernstein polynomials for every continuous functions on simplex and the higher dimensional q-analogues of Bernstein polynomials on simplex
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Fuzzy and Soft Set Theory · Advanced Algebra and Logic