engleski

On weighted integral and discrete Opial-type inequalities

In this paper some multidimensional integral and discrete Opial-type inequalities due to Agarwal, Pang and Sheng are considered. Theirs generalizations and extensions using submultiplicative convex functions, appropriate integral representations of functions, appropriate summation representations of discrete functions and inequalities involving means are presented.

Opial's inequality; Jensen's inequality; integral inequality; discrete inequality; multidimensional inequality

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