In this work we present different notions of convexity used in different works of recent times,
both theoretical and applied, and based on them, we establish various relationships …

In Hilbert space, we develop a novel framework to study for two new classes of convex
function depending on arbitrary non-negative function, which is called a predominating ℏ …

Some basic inequalities related to η-convex functions are proved. Also we investigate the
famous Hermite-Hadamard, Fejer, Jensen and Slater type inequalities for this class of …

Some generalizations of Hermite–Hadamard type inequalities | SpringerPlus Skip to main
content SpringerLink Account Menu Find a journal Publish with us Track your research Search …

Using the notion of $\eta $-convex functions as a generalization of convex functions, we
estimate the difference between the middle and right terms in Hermite-Hadamard-Fejer …

Integral inequality is an interesting mathematical model due to its wide and significant
applications in mathematical analysis and fractional calculus. In the present research article …

The main objective of this article is to introduce the notion of strongly generalized convex
functions which is called as strongly η-convex functions. Some related integral inequalities …

We establish new quantum Hermite–Hadamard and midpoint types inequalities via a
parameter μ∈ 0, 1 μ∈0,1 for a function F whose| α D q F| u |_αD_qF|^u is η-quasiconvex on …

This paper deals with some Fejer type inequalities related to (η1, η2)-convex functions. In
fact the difference between the right and middle part of Fejer inequality is estimated without …

Conformable integral version of Hermite-Hadamard-Fej\'{e}r inequalities via $\eta$-convex
functions Page 1 http://www.aimspress.com/journal/Math AIMS Mathematics, 5(5): 5106–5120 …