Fractional integral inequalities via Atangana‐Baleanu operators for convex and concave functions

AO Akdemir, A Karaoğlan… - Journal of Function …, 2021 - Wiley Online Library
Recently, many fractional integral operators were introduced by different mathematicians.
One of these fractional operators, Atangana‐Baleanu fractional integral operator, was …

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 …

Hermite–Hadamard-type inequalities for Riemann–Liouville fractional integrals via two kinds of convexity

JR Wang, X Li, M Fe [cbreve] kan, Y Zhou - Applicable Analysis, 2013 - Taylor & Francis
In this article, two fundamental integral identities including the second-order derivatives of a
given function via Riemann–Liouville fractional integrals are established. With the help of …

Hermite-Hadamard type inequalities for the 𝑚-and (𝛼, 𝑚)-logarithmically convex functions

RF Bai, F Qi, BY ** - Filomat, 2013 - JSTOR
Hermite-Hadamard type inequalities for the m- and (α, m)-logarithmically convex functions Page
1 Filomat 27:1 (2013), 1–7 DOI 10.2298/FIL1301001B Published by Faculty of Sciences and …

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 …

[PDF][PDF] Convex functions: Ariadne's thread or Charlotte's Spiderweb?

JEN Valdés, F Rabossi… - … Mathematical Models & …, 2020 - researchgate.net
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 …

[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 …

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 …

[引用][C] Some inequalities of Hermite-Hadamard type for GA-convex functions with applications to means

TY Zhang, AP Ji, F Qi - Le Matematiche, 2013 - lematematiche.dmi.unict.it
SOME INEQUALITIES OF HERMITE-HADAMARD TYPE FOR GA-CONVEX FUNCTIONS WITH
APPLICATIONS TO MEANS TIAN-YU ZHANG - AI-PING JI - FENG Page 1 LE MATEMATICHE …

On some new Hermite-Hadamard inequalities involving Riemann-Liouville fractional integrals

Y Zhang, JR Wang - Journal of Inequalities and Applications, 2013 - Springer
In this paper, three fundamental and important Riemann-Liouville fractional integral
identities including a twice differentiable map** are established. Secondly, some …