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WEIGHTED GENERALIZATION OF SOME INTEGRAL INEQUALITIES FOR DIFFERENTIABLE CO-ORDINATED CONVEX FUNCTIONS
Journal article   Peer reviewed

WEIGHTED GENERALIZATION OF SOME INTEGRAL INEQUALITIES FOR DIFFERENTIABLE CO-ORDINATED CONVEX FUNCTIONS

M. A. Latif, S. S. Dragomir and E. Momoniat
Scientific bulletin. Buletin științific. Series A, Applied mathematics and physycs [i.e. physics] / UPB. Series A, Applied mathematics and physyics [i.e. physics, Vol.78(4), pp.197-210
01/01/2016

Abstract

Mathematics Mathematics, Applied Physical Sciences Physics Physics, Multidisciplinary Science & Technology
In this paper, a new weighted identity for differentiable functions of two variables defined on a rectangle from the plane is established. By using the obtained identity and analysis, some new weighted integral inequalities for the classes of coordinated convex, co-ordinated wright-convex and co-ordinated quasi-convex functions on the rectangle from the plane are established which provide weighted generalization of some recent results proved for co-ordinated convex functions.

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