New Estimates of q1q2-Ostrowski-Type Inequalities within a Class of n-Polynomial Prevexity of Functions. (24th July 2020)

• Record Type: Journal Article
• Authors: Kalsoom, Humaira; Idrees, Muhammad; Baleanu, Dumitru; Chu, Yu-Ming
• Other Names: Araci Serkan Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-07-24
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/3720798
• Languages: English
• ISSNs: 2314-8896

Abstract

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 called n -polynomial preinvex functions. We use the n -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 the n -polynomial preinvex functions on coordinates. Our results are the generalizations of the results in earlier papers.