Generalized Levinson's inequality and exponential convexity

We give a probabilistic version of Levinson's inequality under Mercer's assumption of equal variances for the family of 3-convex functions at a point. We also show that this is the largest family of continuous functions for which the inequality holds. New families of exponentially convex f...

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Bibliographic Details
Main Authors: Josip Pečarić, Marjan Praljak, Alfred Witkowski
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2015-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol35/3/art/opuscula_math_3524.pdf