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On the Raşa Inequality for Higher Order Convex Functions

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Published in 2021 at "Results in Mathematics"

DOI: 10.1007/s00025-021-01417-2

Abstract: We study the following $$(q-1)$$ th convex ordering relation for qth convolution power of the difference of probability distributions $$\mu $$ and $$\nu $$ $$\begin{aligned} (\nu -\mu )^{*q}\ge _{(q-1)cx} 0 , \quad q\ge 2, \end{aligned}$$… read more here.

Keywords: order convex; inequality; higher order; convex functions ... See more keywords