On an integral inequality inN-independent variables

On an Integral Inequality

In this article we give different sufficient conditions for inequality (∫ b a f(x)dx )β ≥ ∫ b a f(x)dx to hold.

A Generalized Gronwall–bellman Type Delay Integral Inequality with Two Independent Variables on Time Scales

Using a technique of monotonization, this paper investigates a generalized GronwallBellman type delay integral inequality with two independent variables on time scales. The result not only unifies some continuous inequalities and their discrete analogues but also extends some known integral inequalities on time scales. An application to the estimation of solutions of delay dynamic integral equa...

On a Generalized Retarded Integral Inequality with Two Variables

On an Integral Inequality of Feng Qi

In this note, we study a general version of a problem posed by Feng Qi in [10] in the context of a measured space endowed with a positive finite measure. For other studies and results, one can consult the papers [2], [3], [5], [8], [9], [12], [13] and [14]. Our basic tool is the classical Hölder inequality. By the convexity method (see [3]) we give an interpretation of the lower bound occuring ...

Nonlinear Integral Inequalities in Two Independent Variables on Time Scales