Borislav R. Draganov
Abstract
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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.
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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.
Key concepts: Bernstein polynomial, Monotonic function, Convexity, Integer (computer science), Mathematics, Applied mathematics, Pure mathematics, Mathematical analysis