A note on some new Hermite--Hadamard type inequalities for functions whose $n$th derivatives are strongly $\eta$-convex

نویسندگان
Kermausuor, Seth ID 1
Nwaeze, Eze R ID 2

1 Department of Mathematics and Computer Science, Alabama State University, Montgomery, AL 36101, USA

2 Department of Mathematics and Computer Science, Alabama State University, Montgomery, AL 36101, USA

doi
10.22075/ijnaa.2019.14882.1780
چکیده

In this paper, we establish some new variants of the Hermite--Hadamard integral type inequalities for functions whose $n$th derivatives in absolute values at certain powers are strongly $\eta$-convex.

کلیدواژه‌ها
Hermite-Hadamard type inequality, strongly $eta$-convex functions, Holder's inequality, power mean inequality