arXiv:2005.08692 [math.CA]AbstractReferencesReviewsResources
Shape preserving properties of the Bernstein polynomials with integer coefficients
Published 2020-05-18Version 1
The Bernstein polynomials with integer coefficients do not generally preserve monotonicity and convexity. We establish sufficient conditions under which they do. We also observe that they are asymptotically shape preserving.
Categories: math.CA
Related articles: Most relevant | Search more
arXiv:1904.09417 [math.CA] (Published 2019-04-20)
Converse estimates for the simultaneous approximation by Bernstein polynomials with integer coefficients
arXiv:1804.08248 [math.CA] (Published 2018-04-23)
Simultaneous approximation by Bernstein polynomials with integer coefficients
arXiv:2409.03382 [math.CA] (Published 2024-09-05)
Strong Converse Inequalities for Bernstein Polynomials with Explicit Asymptotic Constants