In this paper, we establish some generalization of Ostrowski type inequalities for interval valued functions by using the definitions 1H-derivatives. At end, a briefly conclusion is given as well.

Some selected Ostrowski type inequalities and a connection with numerical integration are studied in this survey paper, which is dedicated to the memory of Professor D. S. Mitrinovic, who left us 25 years ago. His significant influence development theory briefly given first section paper. Beside some basic facts on quadrature formulas an approach for estimating error term using Peano kernel tec...

The main objective of this paper is basically to acquire some new extensions Ostrowski type inequalities for the function whose first derivatives' absolute value are $s$--type $p$--convex. We initially presented a auxiliary definition namely $p$--convex function. Some beautiful algebraic properties and examples related newly introduced discussed. additionally investigated cases that can be deri...

A new (p,q)-integral identity involving left and right post quantum derivatives, by using three times (p,q)-differentiable functions is established then this used to derive several post-quantum Ostrowski type integral inequalities for functions. These results are generalizations of corresponding in the area inequalities.

Some generalized Ostrowski-type integral inequalities for r−times differentiable functions whose absolute values are MT−convex have been discussed. Moreover, some applications on special bivariate means obtained.

In this paper, we obtain new Ostrowski type inequalities by using the extended version of Montgomery identity and Green’s functions. We also give estimations difference between two integral means.

We generalize cyclic refinements of Jensen’s inequality from a convex function to a higher-order convex function by means of Lagrange–Green’s function and Fink’s identity. We formulate the monotonicity of the linear functionals obtained from these identities utilizing the theory of inequalities for n-convex functions at a point. New Grüssand Ostrowski-type bounds are found for identities associ...

Some Ostrowski and trapezoid type inequalities for the Stieltjes integral in the case of Lischitzian integrators for both Hölder continuous and monotoonic integrals are obtained. The dual case is also analysed. Applications for the midpoint rule are pointed out as well.

Inequalities are obtained for quadrature rules in terms of upper and lower bounds of the first derivative of the integrand. Bounds of Ostrowski type quadrature rules are obtained and the classical Iyengar inequality for the trapezoidal rule is recaptured as a special case. Applications to numerical integration are demonstrated.