k$-fractional integral inequalities of Hadamard type for exponentially $(s, m)$-convex functions

• Published in: AIMS mathematics Vol. 6; no. 1; pp. 882 - 892
• Main Authors: Rehman, Atiq Ur, Farid, Ghulam, Bibi, Sidra, Jung, Chahn Yong, Kang, Shin Min
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2021
• Subjects: convex functions; hadamard inequality; riemann-liouville fractional integral operators
• ISSN: 2473-6988; 2473-6988
• DOI: 10.3934/math.2021052

The aim of this article is to present fractional versions of the Hadamard type inequalities for exponentially $(s, m)$-convex functions via $k$-analogue of Riemann-Liouville fractional integrals. The results provide generalizations of various known fractional integral inequalities. Some special case...