Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex functions in the second sense with applications

• Main Authors: Naila Mehreen, Matloob Anwar
• Format: Article
• Language: English
• Published: SpringerOpen 2019-04-01
• Series: Journal of Inequalities and Applications
• Subjects: Hermite–Hadamard inequalities; Convex functions; Exponentially convex functions; Exponentially p-convex functions; Exponentially s-convex functions in the second sense
• Online Access: http://link.springer.com/article/10.1186/s13660-019-2047-1
• ISSN: 1029-242X

Abstract In this paper, we introduce the notion of exponentially p-convex function and exponentially s-convex function in the second sense. We establish several Hermite–Hadamard type inequalities for exponentially p-convex functions and exponentially s-convex functions in second sense. The present investigation is an extension of several well known results.