Antibiotiki i Khimioterapiya. Vol. 63. 2018. P.. 51-54
On Jensen’s type inequalities via generalized majorization inequalities
In this paper, we give generalizations of Jensen’s, Jensen-Steffensen’s and converse of Jensen’s inequalities by using generalized majorization inequalities. We also present Grüss and Ostrowski-type inequalities for the generalized inequalities. © 2018, University of Nis. All rights reserved.
Authors
Khan J. 1 , Khan M.A. 1 , Pečarić J. 2, 3
Journal
Publisher
University of Nis
Issue number
16
Language
English
Pages
5719-5733
State
Published
Link
Volume
32
Year
2018
Organizations
- 1 Department of Mathematics, University of Peshawar, Peshawar, Pakistan
- 2 Faculty of Textile Technology, University of Zagreb, Prilaz Baruna Filipovića 30, Zagreb, 10000, Croatia
- 3 RUDN University, 6 Miklukho-Maklay St, Moscow, 117198, Russian Federation
Keywords
Green’s function; Grüss-type inequality; Jensen-Steffensen’s inequality; Jensen’s inequality; Majorization; Montgomery identity; N-convexity; Ostrowski-type inequality; Čebyšev functional
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