On Hadamard and Fej\'{e}r-Hadamard inequalities for Caputo $\small{k}$-fractional derivatives

نویسندگان
Farid, Ghulam ID 1
Javed, Anum ID 2

1 Mathematics Department, COMSATS Institute of Information Technology, Attock Campus, Attock, Pakistan

2 Mathematics, COMSATS Institute of Information Technology, Attock Campus, Attock, Pakistan

doi
10.22075/ijnaa.2018.10724.1521
چکیده

In this paper we will prove certain Hadamard and Fejer-Hadamard inequalities for the functions whose nth derivatives are convex by using Caputo k-fractional derivatives. These results have some relationship with inequalities for Caputo fractional derivatives.

کلیدواژه‌ها
Convex functions, Hadamard inequality, Fejer-Hadamard inequality, Caputo fractional derivatives