Boundedness of fractional integral operators containing Mittag-Leffler functions via (s,m)-convexity

• Published in: AIMS mathematics Vol. 5; no. 2; pp. 966 - 978
• Main Authors: Farid, Ghulam, Bano Akbar, Saira, Ur Rehman, Shafiq, Pečarić, Josip
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2020
• Subjects: convex function; generalized fractional integral operators; m)-convex function; mittag-leffler function

The objective of this paper is to derive the bounds of fractional integral operators which contain Mittag-Leffler functions in the kernels. By using (s,m)-convex functions bounds of these operators are evaluated which lead to obtain their boundedness and continuity. Moreover the presented results ca...