Two new inequalities for Riemann--Stieltjes integral are introduced functions of bounded $p$-variation and H\"{o}lder continuous integrators.

Keywords: Nonadditive measure Sugeno integral Comonotone functions Chebyshev's inequality Minkowski's inequality Hölder's inequality a b s t r a c t In this paper strengthened versions of the Minkowski, Chebyshev, Jensen and Hölder inequalities for Sugeno integral and T-(S-)evaluators are given. As an application, some equivalent forms and some particular results have been established. The theo...

Reverses of the Schwarz, triangle and Bessel inequalities in inner product spaces that improve some earlier results are pointed out. They are applied to obtain new Grüss type inequalities. Some natural integral inequalities are also stated.

This paper is devoted to some new generalization of Hardy-type integral inequalities and the reversed forms. The study is to determine conditions on which the generalized inequalities hold using some known hypothesis. Improvement of some inequalities are also presented.