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math.CA2016
A problem of I. Raşa on Bernstein polynomials and convex functions
Ulrich Abel
We present an elementary proof of a conjecture by I. Raşa which is an inequality involving Bernstein basis polynomials and convex functions. It was affirmed in positive very recent…
math.CA2014
Complete Monotonicity and Zeros of Sums of Squared Baskakov Functions
Ulrich Abel, Wolfgang Gawronski, Thorsten Neuschel
We prove complete monotonicity of sums of squares of generalized Baskakov basis functions by deriving the corresponding results for hypergeometric functions. Moreover, in the centr…