A sharp companion of Ostrowski’s inequality for the Riemann–Stieltjes integral and applications

A companion of Ostrowski's inequality for functions of bounded variation and applications

A companion of Ostrowski's inequality for functions of bounded variation and applications are given.

A Companion of Ostrowski’s Inequality for the Riemann-stieltjes Integral

A Version of Favard's Inequality for the Sugeno Integral

In this paper, we  present a version of Favard's inequality for special case and then generalize it for the Sugeno integral in fuzzy measure space $(X,Sigma,mu)$, where $mu$ is the Lebesgue measure. We consider two cases, when our function is concave and when is convex. In addition for illustration of theorems, several examples are given.

a companion of ostrowski's inequality for functions of bounded variation and applications

a companion of ostrowski's inequality for functions of bounded variation and applications are given.

A Sharp Inequality and Its Applications

We establish an analog Hardy inequality with sharp constant involving exponential weight function. The special case of this inequality (for n = 2) leads to a direct proof of Onofri inequality on S.