Generalized Hermite–Hadamard-Type Integral Inequalities for h-Godunova–Levin Functions. (14th March 2022)

• Record Type: Journal Article
• Authors: Ali, Rana Safdar; Mubeen, Shahid; Ali, Sabila; Rahman, Gauhar; Younis, Jihad; Ali, Asad
• Other Names: Ali Umair Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-03-14
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/9113745
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : The main objective of this article is to establish generalized fractional Hermite–Hadamard and related type integral inequalities for h -Godunova–Levin convexity and h -Godunova–Levin preinvexity with extended Wright generalized Bessel function acting as kernel. Moreover, Hermite–Hadamard-type and trapezoid-type inequalities for several known convexities including Godunova–Levin function, classical convex, s -Godunova–Levin function, P -function, and s -convex function are deduced as corollaries. These obtained results are analyzed in the form of generalization of fractional inequalities.