On Jensen-McShane’s inequality

V. Čuljak; B. Ivanković; J. Pečarić

doi:10.1007/s10998-009-10139-x

Jump to Content

Periodica Mathematica Hungarica

Volume/Issue:: Volume 58: Issue 2

On Jensen-McShane’s inequality

Authors:

V. Čuljak

V. Čuljak University of Zagreb Department of Mathematics, Faculty of Civil Engineering Kaciceva 26 10 000 Zagreb Croatia

Search for other papers by V. Čuljak in
Current site
Google Scholar
PubMed

B. Ivanković

B. Ivanković University of Zagreb Faculty of transport and traffic engineering Vukelićeva 4 10 000 Zagreb Croatia

Search for other papers by B. Ivanković in
Current site
Google Scholar
PubMed

, and

J. Pečarić

J. Pečarić University of Zagreb Faculty of Textile Technology Pierottijeva 6 10 000 Zagreb Croatia

Search for other papers by J. Pečarić in
Current site
Google Scholar
PubMed

View More View Less

Pages:: 139–154

Online Publication Date:: 31 May 2009

Publication Date:: 01 Jun 2009

Article Category:: Research Article

DOI:: https://doi.org/10.1007/s10998-009-10139-x

Keywords:: 26D15; 26D99; convex functions; linear functionals; Jensen’s inequality; Jessen’s generalization of Jensen’s inequality; McShane’s generalization of Jensen’s inequality; inequalities of Hölder type

Restricted access

Abstract

A sequence of inequalities which include McShane’s generalization of Jensen’s inequality for isotonic positive linear functionals and convex functions are proved and compared with results in [3]. As applications some results for the means are pointed out. Moreover, further inequalities of Hölder type are presented.

Save
Cite
Email this content

Share Link

Copy this link, or click below to email it to a friend
Email this content
or copy the link directly:

https://akjournals.com/abstract/journals/10998/58/2/article-p139.xml
The link was not copied. Your current browser may not support copying via this button.

Link copied successfully

Collapse
Expand

Periodica Mathematica Hungarica

Print ISSN:: 0031-5303

Online ISSN:: 1588-2829

To see the editorial board, please visit the website of Springer Nature.

Manuscript Submission: HERE

For subscription options, please visit the website of Springer Nature.

Periodica Mathematica Hungarica
Language	English
Size	B5
Year of Foundation	1971
Volumes per Year	2
Issues per Year	4
Founder	Bolyai János Matematikai Társulat - János Bolyai Mathematical Society
Founder's Address	H-1055 Budapest, Hungary Falk Miksa u. 12.I/4.
Publisher	Akadémiai Kiadó Springer Nature Switzerland AG
Publisher's Address	H-1117 Budapest, Hungary 1516 Budapest, PO Box 245. CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible Publisher	Chief Executive Officer, Akadémiai Kiadó
ISSN	0031-5303 (Print)
ISSN	1588-2829 (Online)