On Jessen's inequality for convex functions. II
type: Item
instance of: scholarly article
title: On Jessen's inequality for convex functions. II
zbMATH Open document ID: 0608.26010
DOI: 10.1016/0022-247X(86)90296-9
published in: Journal of Mathematical Analysis and Applications
publication date: 1986-01-01T00:00:00Z
review text: A short proof of the Jessen's inequality, some complementary inequalities and applications were given by the authors in the first paper with this title [J. Math. Anal. Appl. 110, 536--552 (1985; Zbl 0591.26009)]. Now they give some refinements and improvements of the Jessen's inequality, together with applications to extensions of Knopp's and Hadamard's inequality for convex functions. They also consider generalizations of a number of classical inequalities involving mean values of various kinds, as well as Hölder type inequalities. Finally, the authors extend some inequalities for real isotonic functionals to complex linear functionals given by \(\bar A(f)=A(\text{Re}\, f)+iA(\text{Im}\, f)\).
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 26A51
zbMATH DE Number: 3983530
zbMATH Keywords: Jessen inequality
zbMATH Keywords: Knopp and Hadamard inequality
zbMATH Keywords: convex functions
zbMATH Keywords: inequalities involving mean values
zbMATH Keywords: Hölder type inequalities
author: J. Pečarić
author: Paul R. Beesack
reviewed by: Ioan Raşa
MaRDI profile type: Publication
cites work: A Class of Mean Value Functions
cites work: Q5336417
cites work: Q5656985
cites work: On Jessen's inequality for convex functions
cites work: Q4195169
cites work: Generalization of the Cauchy-Schwarz inequality
cites work: Dresher's Inequality
cites work: Moment spaces and inequalities
cites work: On an Inequality for the Generalized Arithmetic and Geometric Means
cites work: On the Hölder Inequality
cites work: Q5686266
cites work: Extended Mean Values
cites work: Extended mean values. II
cites work: Q4115339
cites work: An inequality for generalized means
cites work: Analytic Inequalities
cites work: Q3855396
cites work: Q5542240
cites work: Q3831482
cites work: Q4755825
cites work: Generalizations of the Logarithmic Mean
cites work: Q5626962
cites work: Q5623936
cites work: Q5664145
cites work: Q4052395
cites work: Q4120776
cites work: Q3910706
cites work: Q4120779
cites work: Q3897234
full work available at URL: 0022-247x(86)90296-9
OpenAlex ID: W4206282033
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description: scientific article; zbMATH DE number 3983530