New Estimates of q(1)q(2)-Ostrowski-Type Inequalities within a Class of n-Polynomial Prevexity of Functions

Abstract

In this article, we develop a novel framework to study for a new class of preinvex functions depending on arbitrary nonnegative function, which is calledn-polynomial preinvex functions. We use then-polynomial preinvex functions to develop q(1)q(2)-analogues of the Ostrowski-type integral inequalities on coordinates. Different features and properties of excitement for quantum calculus have been examined through a systematic way. We are discussing about the suggestions and different results of the quantum inequalities of the Ostrowski-type by inferring a new identity for q(1)q(2)-differentiable function. However, the problem has been proven to utilize the obtained identity, we give q(1)q(2)-analogues of the Ostrowski-type integrals inequalities which are connected with then-polynomial preinvex functions on coordinates. Our results are the generalizations of the results in earlier papers.