On the Bullen-type inequalities via generalized fractional integrals and their applications

T Du, C Luo, Z Cao - Fractals, 2021 - World Scientific
By using generalized fractional integrals, some Bullen-type inequalities are derived where
the first derivative of considered functions is Lipschitzian, bounded or generalized (s, m) …

Generalized fractal Jensen and Jensen–Mercer inequalities for harmonic convex function with applications

SI Butt, P Agarwal, S Yousaf, JLG Guirao - Journal of Inequalities and …, 2022 - Springer
In this paper, we present a generalized Jensen-type inequality for generalized harmonically
convex function on the fractal sets, and a generalized Jensen–Mercer inequality involving …

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 …

[PDF][PDF] Jensen-Mercer variant of Hermite-Hadamard type inequalities via Atangana-Baleanu fractional operator

JB Liu, SI Butt, J Nasir, A Aslam, A Fahad… - AIMS Math, 2022 - researchgate.net
We present new Mercer variants of Hermite-Hadamard (HH) type inequalities via Atangana-
Baleanu (AB) fractional integral operators pertaining non-local and non-singular kernels. We …

[HTML][HTML] Generalized Fractal Jensen–Mercer and Hermite–Mercer type inequalities via h-convex functions involving Mittag–Leffler kernel

P Xu, SI Butt, S Yousaf, A Aslam, TJ Zia - Alexandria Engineering Journal, 2022 - Elsevier
In this paper, we present generalized Jensen-Mercer inequality for a generalized h-convex
function on fractal sets. We proved Hermite-Hadamard-Mercer local fractional integral …

Fejér–Pachpatte–Mercer‐Type Inequalities for Harmonically Convex Functions Involving Exponential Function in Kernel

SI Butt, S Yousaf, KA Khan… - Mathematical …, 2022 - Wiley Online Library
In the present study, fractional variants of Hermite–Hadamard, Hermite–Hadamard–Fejér,
and Pachpatte inequalities are studied by employing Mercer concept. Firstly, new Hermite …

New Hadamard Type Inequalities for Modified h-Convex Functions

D Breaz, Ç Yildiz, LI Cotîrlă, G Rahman, B Yergöz - Fractal and Fractional, 2023 - mdpi.com
In this article, we demonstrated various Hermite–Hadamard and Fejér type inequalities for
modified h-convex functions. We showed several inequalities for the products of two …

Hermite–Jensen–Mercer-Type Inequalities via Caputo–Fabrizio Fractional Integral for h-Convex Function

M Vivas-Cortez, MS Saleem, S Sajid, MS Zahoor… - Fractal and …, 2021 - mdpi.com
Integral inequalities involving many fractional integral operators are used to solve various
fractional differential equations. In the present paper, we will generalize the Hermite–Jensen …

New fractional Hermite–Hadamard–Mercer inequalities for harmonically convex function

SI Butt, S Yousaf, A Asghar, KA Khan… - Journal of Function …, 2021 - Wiley Online Library
In 2003, Mercer presented an interesting variation of Jensen's inequality called Jensen–
Mercer inequality for convex function. In the present paper, by employing harmonically …

On ostrowski–mercer's type fractional inequalities for convex functions and applications

SK Sahoo, A Kashuri, M Aljuaid, S Mishra… - Fractal and …, 2023 - mdpi.com
This research focuses on the Ostrowski–Mercer inequalities, which are presented as
variants of Jensen's inequality for differentiable convex functions. The main findings were …