On Hilbert’s Integral Inequality and Its 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.

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 Volterra–Fredholm integral inequality and its applications to fractional differential equations

*Correspondence: [email protected] 2Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia Full list of author information is available at the end of the article Abstract In this paper, we derive a new generalized Volterra–Fredholm integral inequality and use it to study the dependence of solutions on the ini...

On Hardy-hilbert’s Integral Inequality

In the present paper, by introducing some parameters, new forms of Hardy-Hilbert’s inequalities are given.