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JENSEN TYPE INEQUALITIES FOR Q-CLASS FUNCTIONS
Published online by Cambridge University Press: 17 October 2011
Abstract
Some inequalities of Jensen type for Q-class functions are proved. More precisely, a refinement of the inequality f((1/P)∑ ni=1pixi)≤P∑ ni=1(f(xi)/pi) is given in which p1,…,pn are positive numbers, P=∑ ni=1pi and f is a Q-class function. The notion of the jointly Q-class function is introduced and some Jensen type inequalities for these functions are proved. Some Ostrowski and Hermite–Hadamard type inequalities related to Q-class functions are presented as well.
Keywords
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 85 , Issue 1 , February 2012 , pp. 128 - 142
- Copyright
- Copyright © Australian Mathematical Publishing Association Inc. 2011
Footnotes
This research was supported by a grant from Ferdowsi University of Mashhad (No. MP90210MOS).
References
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