The preservation of the convexity of functions
type: Item
instance of: scholarly article
title: The preservation of the convexity of functions
zbMATH Open document ID: 0831.26004
published in: Real Analysis Exchange
publication date: 1996-02-04T00:00:00Z
review text: The authors define a class of generalized convex functions, closed under the integral operator given by \[ W_g(f)(x)= \int^x_0 y'(x) f(t) dt/[g(t)- g(0)],\quad W_g(f)(0)= 0, \] and offer the result that only multiples of powers belong to the class.
Mathematics Subject Classification ID: 26A51
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 45P05
zbMATH DE Number: 801029
zbMATH Keywords: generalized convex functions
zbMATH Keywords: integral operator
author: J. Pečarić
author: Gheorghe Toader
reviewed by: János Aczél
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 801029