Author:
Qiang Xiaoli,Farid Ghulam,Pečarić Josip,Akbar Saira Bano
Abstract
AbstractIn this paper we have derived the fractional integral inequalities by defining exponentially $(s,m)$(s,m)-convex functions. These inequalities provide upper bounds, boundedness, continuity, and Hadamard type inequality for fractional integrals containing an extended Mittag-Leffler function. The results about fractional integral operators for s-convex, m-convex, $(s,m)$(s,m)-convex, exponentially convex, exponentially s-convex, and convex functions are direct consequences of presented results.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference23 articles.
1. Anastassiou, G.A.: Generalized fractional Hermite–Hadamard inequalities involving m-convexity and $(s,m)$-convexity. Ser. Math. Inform. 28(2), 107–126 (2013)
2. Andrić, M., Farid, G., Pečarić, J.: A further extension of Mittag-Leffler function. Fract. Calc. Appl. Anal. 21(5), 1377–1395 (2018)
3. Arshad, M., Choi, J., Mubeen, S., Nisar, K.S., Rahman, G.: A new extension of Mittag-Leffler function. Commun. Korean Math. Soc. 33(2), 549–560 (2018)
4. Awan, M.U., Noor, M.A., Noor, K.I.: Hermite–Hadamard inequalities for exponentially convex functions. Appl. Math. Inf. Sci. 12(2), 405–409 (2018)
5. Bloch, I.A., Işcan, I.: Integral inequalities for differentiable harmonically $(s,m)$-preinvex functions. Open J. Math. Anal. 1(1), 25–33 (2017)
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