NANOSYSTEMS-PHYSICS CHEMISTRY MATHEMATICS. Vol. 10. 2019. P.. 549-563
FURTHER IMPROVEMENT OF AN EXTENSION OF HOLDER-TYPE INEQUALITY
In 1995 Pearce and Pecaric proved an extension of Holder's inequality. In this paper we extend their result in a measure theoretic sense and further improve it using log-convexity of related linear functionals. Moreover, we study the action of related linear functionals on families of exponentially convex functions.
Authors
Jaksetic J. 1 , Pecaric J. 2 , Kalamir K.S. 3
Publisher
Element D.O.O.
Issue number
4
Language
English
Pages
1161-1175
State
Published
Volume
22
Year
2019
Organizations
- 1 Univ Zagreb, Fac Food Technol & Biotechnol, Pierottijeva 6, Zagreb 10000, Croatia
- 2 RUDN Univ, Miklukho Maklaya Str 6, Moscow 117198, Russia
- 3 Univ Zagreb, Fac Text Technol, Prilaz Baruna Filipovica 28a, Zagreb 10000, Croatia
Keywords
Holder's inequality; Steffensen's inequality; measure theory; exponential convexity; log-convexity
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Other records
Mathematical Inequalities and Applications. Vol. 22. 2019. P.. 1177-1191