New fractional integral inequalities for convex functions pertaining to Caputo–Fabrizio operator

SK Sahoo, PO Mohammed, B Kodamasingh… - Fractal and …, 2022 - mdpi.com
In this article, a generalized midpoint-type Hermite–Hadamard inequality and Pachpatte-
type inequality via a new fractional integral operator associated with the Caputo–Fabrizio …

New “Conticrete” Hermite–Hadamard–Jensen–Mercer Fractional Inequalities

S Faisal, M Adil Khan, TU Khan, T Saeed, AM Alshehri… - Symmetry, 2022 - mdpi.com
The theory of symmetry has a significant influence in many research areas of mathematics.
The class of symmetric functions has wide connections with other classes of functions …

New Riemann–Liouville fractional-order inclusions for convex functions via interval-valued settings associated with pseudo-order relations

HM Srivastava, SK Sahoo, PO Mohammed… - Fractal and …, 2022 - mdpi.com
In this study, we focus on the newly introduced concept of LR-convex interval-valued
functions to establish new variants of the Hermite–Hadamard (HH) type and Pachpatte type …

Hadamard–Mercer, Dragomir–Agarwal–Mercer, and Pachpatte–Mercer type fractional inclusions for convex functions with an exponential kernel and their …

SK Sahoo, RP Agarwal, PO Mohammed… - Symmetry, 2022 - mdpi.com
Many scholars have recently become interested in establishing integral inequalities using
various known fractional operators. Fractional calculus has grown in popularity as a result of …

DISCRETE HERMITE–HADAMARD-TYPE INEQUALITIES FOR -CONVEX FUNCTION

Y Qi, Q Wen, G Li, K **ao, S Wang - Fractals, 2022 - World Scientific
The Hermite–Hadamard (HH)-type inequality plays a very important role in the fields of basic
mathematics and applied mathematics. In recent years, many scholars have expanded and …

HERMITE–HADAMARD–FEJÉR-TYPE INEQUALITIES VIA KATUGAMPOLA FRACTIONAL INTEGRALS FOR S-CONVEX FUNCTIONS IN THE SECOND SENSE

Y Qi, G Li, S Wang, QZ Wen - Fractals, 2022 - World Scientific
The Hermite–Hadamard–Fejér-type inequality is a powerful tool for studying lower and
upper estimations for the integral average of convex function. In this paper, we adopt …

[HTML][HTML] A new generalized Hilfer-type fractional derivative with applications to space-time diffusion equation

TU Khan, MA Khan, YM Chu - Results in Physics, 2021 - Elsevier
This paper is concerned to present and apply a new generalized fractional derivative, that is
the Generalized Hilfer-type (GH) fractional derivative. This derivative unifies various …

Inequalities of the Type Hermite–Hadamard–Jensen–Mercer for Strong Convexity

M Adil Khan, S Anwar, S Khalid… - Mathematical …, 2021 - Wiley Online Library
By using the Jensen–Mercer inequality for strongly convex functions, we present Hermite–
Hadamard–Mercer inequality for strongly convex functions. Furthermore, we also present …

[PDF][PDF] Fractional inequalities of the Hermite-Hadamard type for m-polynomial convex and harmonically convex functions

ER Nwaeze, MA Khan, A Ahmadian, MN Ahmad… - AIMS Math, 2021 - aimspress.com
In this paper, it is our purpose to establish some new fractional inequalities of the Hermite–
Hadamard type for the m-polynomial convex and harmonically convex functions. Our results …

[PDF][PDF] Hermite-Hadamard type inequalities involving nonlocal conformable fractional integrals

E Set, J Choi, A Gözpinar - Malays. J. Math. Sci, 2021 - mjms.upm.edu.my
Since the so-called Hermite-Hadamard inequality for a convex function was presented, its
extensions, refinements, and variants, which are called Hermite-Hadamard type inequalities …