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a(x)-Convex Functions and Their Inequalities.

Authors :
KRULIĆ, KRISTINA
PEČARIĆ, JOSIP
SMOLJAK, KSENIJA
Source :
Bulletin of the Malaysian Mathematical Sciences Society; 2012, Vol. 35 Issue 3, p695-716, 22p
Publication Year :
2012

Abstract

In this paper a(x)-convex functions are defined and Jensen, Hermite-Hadamard, Lah-Ribarić and other inequalities for them are derived. Related analogous of the Lagrange and the Cauchy mean value theorems are also obtained and means of the Cauchy type are generated. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
MATHEMATICAL inequalities
HERMITE polynomials
LAGRANGE equations
CONVEX functions
MATHEMATICS theorems
MATHEMATICS

Details

Language :
English
ISSN :
01266705
Volume :
35
Issue :
3
Database :
Complementary Index
Journal :
Bulletin of the Malaysian Mathematical Sciences Society
Publication Type :
Academic Journal
Accession number :
82905332

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