Some new Hermite-Hadamard type inequalities for p−convex functions with generalized fractional integral operators

نویسندگان
Hussain, Sabir ID 1
Latif, Muhammad Amer ID 2
Vivas Cortez, Miguel ID 3

1 Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan

2 Department of Basic Sciences, King Faisal University, Hofuf 31982, Al-Hasa, Saudi Arabia

3 Escuela de Ciencias Fisicas y Matematicas, Facultad de Ciencias Naturales y Exactas, Pontificia Universidad Catolica del Ecuador, Av. 12 de Octubre 1076, Apartado: 17-01-2184, Quito 170143, Ecuador

doi
10.22075/ijnaa.2022.24900.2848
چکیده

By use of definition of a generalized fractional integral operators, proposed by Raina and Agarwal et.al, we establish a fractional  Hermite-Hadamard type inequalities for p−convex functions and an identity with a parameter. We derive several parameterized  integral inequalities associated with this identity, and provide two examples to illustrate the obtained results.

کلیدواژه‌ها
Hermite-Hadamard inequality, Fractional integral operators, p−convex functions