A Multiple Iterated Integral Inequality and Applications

An Integral Inequality and Its Applications

A Hilbert-type fractal integral inequality and its applications

By using thefractal theory and the methods of weight function, a Hilbert-type fractal integral inequality and its equivalent form are given. Their constant factors are proved being the best possible, and their applications are discussed briefly.

A More Generalized Gronwall-like Integral Inequality with Applications

This paper deals with a new Gronwall-like integral inequality which is a generalization of integral inequalities proved by Engler (1989) and Pachpatte (1992). The new Gronwall-like integral inequality can be used in various problems in the theory of certain class of ordinary and integral equations. 1. Introduction. It is well known that integral inequalities play a very crucial role in the stud...

On a New Multiple Extension of Hilbert’s Integral Inequality

This paper gives a new multiple extension of Hilbert’s integral inequality with a best constant factor, by introducing a parameter λ and the Γ function. Some particular results are obtained.

Research Article New Integral Inequalities for Iterated Integrals with Applications