Inequalities for α-fractional differentiable functions

YM Chu, M Adil Khan, T Ali… - Journal of Inequalities and …, 2017 - Springer
In this article, we present an identity and several Hermite-Hadamard type inequalities for
conformable fractional integrals. As applications, we establish some inequalities for certain …

Some Integral Inequalities of Hermite‐Hadamard Type for Convex Functions with Applications to Means

BY **, F Qi - Journal of function spaces, 2012 - Wiley Online Library
Some Integral Inequalities of Hermite‐Hadamard Type for Convex Functions with
Applications to Means Page 1 Hindawi Publishing Corporation Journal of Function Spaces …

A comprehensive review of the Hermite–Hadamard inequality pertaining to fractional integral operators

M Tariq, SK Ntouyas, AA Shaikh - Mathematics, 2023 - mdpi.com
In the frame of fractional calculus, the term convexity is primarily utilized to address several
challenges in both pure and applied research. The main focus and objective of this review …

On Hermite-Hadamard Inequalities for ℎ-Preinvex Functions

MA Noor, KI Noor, MU Awan, J Li - Filomat, 2014 - JSTOR
The objective of this paper is to obtain some Hermite-Hadamard type inequalities for ℎ-
preinvex functions. Firstly, a new kind of generalized ℎ-convex functions, termed ℎ-preinvex …

Hermite–Hadamard type inequalities for conformable fractional integrals

MA Khan, T Ali, SS Dragomir, MZ Sarikaya - Revista de la Real Academia …, 2018 - Springer
In this paper, first, we prove an identity for conformable fractional integrals. Second, by using
this identity we will present some integral inequalities connected with the left hand side of …

[PDF][PDF] Hermite-Hadamard inequality for fractional integrals via eta-convex functions

T Ali, MA Khan, Y Khurshidi - Acta mathematica universitatis …, 2017 - iam.fmph.uniba.sk
153 HERMITE-HADAMARD INEQUALITY FOR FRACTIONAL INTEGRALS VIA η-CONVEX
FUNCTIONS 1. Introduction and Preliminaries If f : I → Page 1 Acta Math. Univ. Comenianae …

[PDF][PDF] Hermite-Hadamard type inequalities for the m- and( alpha, m)-geometrically convex functions

BY **, RF Bai, F Qi - Aequationes mathematicae, 2012 - researchgate.net
1. Introduction In [8] the concept of m-convex functions was introduced as follows. Definition
1.1 ([8]). For f:[0, b]→ R and m∈(0, 1], if f (tx+ m (1− t) y)≤ tf (x)+ m (1− t) f (y)(1.1) is valid for …

[PDF][PDF] Some Hermite-Hadamard Type Inequalities for DifferentiableConvex Functions and Applications

BY **, F Qi - Hacettepe Journal of Mathematics and Statistics, 2013 - dergipark.org.tr
SOME HERMITE-HADAMARD TYPE INEQUALITIES FOR DIFFERENTIABLE CONVEX
FUNCTIONS AND APPLICATIONS Page 1 Hacettepe Journal of Mathematics and Statistics …

Generalized fractional integral inequalities of Hermite–Hadamard type for -convex functions

F Qi, PO Mohammed, JC Yao, YH Yao - Journal of Inequalities and …, 2019 - Springer
In the paper, the authors establish some generalized fractional integral inequalities of the
Hermite–Hadamard type for (α, m) (α,m)-convex functions, show that one can find some …

Inequalities of Hermite-Hadamard type for extended -convex functions and applications to means

BY **, F Qi - arxiv preprint arxiv:1406.5409, 2014 - arxiv.org
arxiv:1406.5409v1 [math.CA] 19 Jun 2014 Page 1 arxiv:1406.5409v1 [math.CA] 19 Jun 2014
INEQUALITIES OF HERMITE-HADAMARD TYPE FOR EXTENDED s-CONVEX FUNCTIONS …