1999/06/01 by Haul Oruç, George M. Phillips, Philip J. Davis · 1 citation
Mathematics · Engineering · Computer Science · #Approximation Theory and Sequence Spaces #Advanced Numerical Analysis Techniques #Advanced Algebra and Logic #Bernstein polynomial #Generalization #Monotonic function #Mathematics #Pure mathematics #Classical orthogonal polynomials #Function (biology) #Regular polygon #Convex function #Difference polynomials #Wilson polynomials #Orthogonal polynomials #Algebra over a field #Mathematical analysis #Geometry
paper · pdf · doi:10.1017/s0013091500020332
openalex publication_date 1999/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
This paper is concerned with a generalization of the classical Bernstein polynomials where the function is evaluated at intervals which are in geometric progression. It is shown that, when the function is convex, the generalized Bernstein polynomials B n are monotonic in n , as in the classical case.