Novel Refinements via n–Polynomial Harmonically s–Type Convex Functions and Application in Special Functions. (30th January 2021)

• Record Type: Journal Article
• Authors: Butt, Saad Ihsan; Rashid, Saima; Tariq, Muhammad; Wang, Miao-Kun
• Other Names: Drihem Douadi Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-01-30
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/6615948
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this work, we introduce the idea of n –polynomial harmonically s –type convex function. We elaborate the new introduced idea by examples and some interesting algebraic properties. As a result, new Hermite–Hadamard, some refinements of Hermite–Hadamard and Ostrowski type integral inequalities are established, which are the generalized variants of the previously known results for harmonically convex functions. Finally, we illustrate the applicability of this new investigation in special functions (hypergeometric function and special mean of real numbers).