Inequality of Petrović and Giaccardi for convex function of higher order
type: Item
instance of: scholarly article
title: Inequality of Petrović and Giaccardi for convex function of higher order
zbMATH Open document ID: 1017.26016
author: V. Čuljak
author: J. Pečarić
published in: Southeast Asian Bulletin of Mathematics
publication date: 2003-03-18T00:00:00Z
review text: The paper contains the remark that an old result due to \textit{D. V. Widder} (see his paper ``Completely convex functions and Lidstone series'', Trans. Am. Math. Soc. 51, 387-398 (1942; Zbl 0061.11511)] yields (in a straightforward manner) analogues of F. Giaccardi's inequality for higher order convex functions.
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 26A51
zbMATH DE Number: 1884051
zbMATH Keywords: Giaccardi's inequality
zbMATH Keywords: higher order convexity
zbMATH Keywords: Lidstone polynomial
MaRDI profile type: Publication
full work available at URL: s100120200027
OpenAlex ID: W2316915987
DOI: 10.1007/S100120200027
Recommended article: Q4627909
Recommended article: Q4659359
Recommended article: Q3054996
Recommended article: Q4933986
Recommended article: Giaccardi inequality for generalized convex functions and related results
Recommended article: Petrović-type inequalities for harmonic \(h\)-convex functions
Recommended article: Q3804963
Recommended article: On some inequalities for convex functions of higher order. II
Recommended article: Some interesting inequalities for the class of generalized convex functions of higher order
Recommended article: Q5159729
description: scientific article; zbMATH DE number 1884051