In this paper, a generalization of trapezoid inequality for functions of two independent variables with bounded variation and some applications are given.

Abstract In the present manuscript, we prove some new extensions of dynamic Ostrowski inequality and its companion inequalities on an arbitrary time scale by using two parameters for functions whose second delta derivatives are bounded. addition to these generalizations, integral discrete obtained as special cases main results.

Integral inequalities concerned with convexity have many applications in several fields of mathematics which symmetry plays an important role. In the theory convexity, there exist strong connections between and symmetry. If we are working on one concepts, then it can be applied to other them. this paper, establish some novel generalizations Ostrowski type for exponentially s-preinvex functions ...

\( \newcommand\norm[1]{\left\lVert#1\right\rVert}\newcommand\normx[1]{\left\Vert#1\right\Vert} \)In this paper several tensorial norm inequalities for continuous functions of selfadjoint operators in Hilbert spaces have been obtained. Multiple are obtained with variations due to the convexity properties mapping $f$$$\norm{(1\otimes B-A\otimes 1)^{-1}[\operatorname{exp}(1\otimes B)-\operatorname...

In this paper, we establish a new integral identity involving differentiable functions, and then use the newly established to prove some Ostrowski–Mercer-type inequalities for convex functions. It is also demonstrated that are generalizations of Ostrowski inside literature. There applications special means real numbers given.