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math.CA2018
Convex order for convolution polynomials of Borel measures
Andrzej Komisarski, Teresa Rajba
We give necessary and sufficient conditions for Borel measures to satisfy the inequality introduced by Komisarski, Rajba (2018). This inequality is a generalization of the convex o…
math.CA2018
A sharpening of a problem on Bernstein polynomials and convex function and related results
Andrzej Komisarski, Teresa Rajba
We present a short proof of a conjecture proposed by I. Raşa (2017), which is an inequality involving basic Bernstein polynomials and convex functions. This proof was given in the…