Set, Erhan; Akdemir, Ahmet Ocak; Mumcu, İ. Hadamard’s inequality and its extensions for conformable fractional integrals of any order \(\alpha > 0\). (English) Zbl 1463.26069 Creat. Math. Inform. 27, No. 2, 197-206 (2018). Summary: Recently the authors T. Abdeljawad [J. Comput. Appl. Math. 279, 57–66 (2015; Zbl 1304.26004)] and R. Khalil et al. [J. Comput. Appl. Math. 264, 65–70 (2014; Zbl 1297.26013)] introduced a new and simple well-behaved concept of fractional integral called conformable fractional integral. In this article, we establish Hermite-Hadamard’s inequalities for conformable fractional integral. We also give extensions of Hermite-Hadamard type inequalities for conformable fractional integrals. Cited in 15 Documents MSC: 26D15 Inequalities for sums, series and integrals 26A33 Fractional derivatives and integrals Keywords:convex functions; Hermite-Hadamard inequality; conformable fractional integrals Citations:Zbl 1304.26004; Zbl 1297.26013 × Cite Format Result Cite Review PDF