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 …

New Multi-Parametrized Estimates Having pth-Order Differentiability in Fractional Calculus for Predominating -Convex Functions in Hilbert Space

S Rashid, H Kalsoom, Z Hammouch, R Ashraf… - Symmetry, 2020 - mdpi.com
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 …

[PDF][PDF] On η-convexity

MR Delavar, SS Dragomir - Math. Inequal. Appl, 2017 - files.ele-math.com
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

M Rostamian Delavar, M De La Sen - SpringerPlus, 2016 - Springer
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 …

New parameterized quantum integral inequalities via η-quasiconvexity

ER Nwaeze, AM Tameru - Advances in Difference Equations, 2019 - Springer
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 …

Inequalities of Féjer type related to generalized convex functions

SM Aslani, MR Delavar, SM Vaezpour - International journal of …, 2018 - etamaths.com
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 …

A comprehensive review of the Hermite–Hadamard inequality pertaining to quantum calculus

M Tariq, SK Ntouyas, AA Shaikh - Foundations, 2023 - mdpi.com
A review of results on Hermite–Hadamard (HH) type inequalities in quantum calculus,
associated with a variety of classes of convexities, is presented. In the various classes of …

Hermite-hadamard inequalities type for raina'fractional integral operator using η− convex functions

JE Hernández, M Vivas-Cortez - Revista de Matemática Teoría y …, 2019 - scielo.sa.cr
HERMITE-HADAMARD INEQUALITIES TYPE FOR RAINA’S FRACTIONAL INTEGRAL
OPERATOR USING η−CONVEX FUNCTIONS DESIGUALDADES DE TIPO Page 1 c⃝ …

Some new k-Riemann–Liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus

ER Nwaeze, S Kermausuor, AM Tameru - Journal of Inequalities and …, 2018 - Springer
A new class of quasiconvexity called strongly η-quasiconvex function was introduced in
(Awan et al. in Filomat 31 (18): 5783–5790, 2017). In this paper, we obtain some new k …

[PDF][PDF] On some fractional integral inequalities for generalized strongly modified h-convex function

PY Yan, Q Li, YM Chu, S Mukhtar, S Waheed - AIMS Math, 2020 - aimspress.com
On some fractional integral inequalities for generalized strongly modified h-convex functions
Page 1 http://www.aimspress.com/journal/Math AIMS Mathematics, 5(6): 6620–6638. DOI …