Abstract
We establish some new Opial-type inequalities involving functions of two and many independent variables. Our results in special cases yield some of the recent results on Opial's inequality and also provide new estimates on inequalities of this type.
Highlights
In the year 1960, Opial [1] established the following integral inequality.Theorem 1.1
1, . . . , n, in changes to a general form of the inequality which was given by Pachpatte [16], where the functions fi must satisfy some suitable conditions
Changes to a general form of the inequality which was given by Pachpatte [16]
Summary
In the year 1960, Opial [1] established the following integral inequality.Theorem 1.1. From (2.3) and in view of the hypotheses on all partial derivatives, and by letting Let u(s,t) reduce to u(t) and with suitable modifications, the above inequality becomes the following inequality: b b
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