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) …

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 …

Some integral inequalities for harmonic h-convex functions involving hypergeometric functions

MV Mihai, MA Noor, KI Noor, MU Awan - Applied Mathematics and …, 2015 - Elsevier
The aim of this paper is to establish some new Hermite–Hadamard type inequalities for
harmonic h-convex functions involving hypergeometric functions. We also discuss some …

Some integral inequalities of Hermite-Hadamard type for differentiable (s, m)-convex functions via fractional integrals

B Bayraktar - TWMS Journal of Applied and Engineering …, 2020 - belgelik.isikun.edu.tr
In this paper, we present new inequalities connected with fractional integrals for twice
differentiable functions derivatives which are (s, m)? convex functions. To obtain this …

[HTML][HTML] On generalizations of integral inequalities

B Bayraktar, F Rabossi - Проблемы анализа, 2022 - cyberleninka.ru
In the present study, several new generalized integral inequalities of the Hadamard and
Simpson-type are obtained. The results were obtained for functions whose first and third …

[PDF][PDF] Hermite-Hadamard inequalities for differentiable p-convex functions using hypergeometric functions

MA Noor, MU Awan, MV Mihai… - Publications de l'Institut …, 2016 - doiserbia.nb.rs
HERMITE–HADAMARD INEQUALITIES FOR DIFFERENTIABLE p-CONVEX FUNCTIONS
USING HYPERGEOMETRIC FUNCTIONS Muhammad Aslam Noor, Muhamm Page 1 …

Fractional Hermite-Hadamard Inequalities for Differentiable 𝑠-Godunova-Levin Functions

MU Awan, MA Noor, MV Mihai, KI Noor - Filomat, 2016 - JSTOR
In this paper, we consider the class of 𝑠-Godunova-Levin functions. We derive a new
fractional integral identity for differentiable function. Using this new identity, we establish …

[PDF][PDF] Some new k-fractional integral inequalities containing multiple parameters via generalized (s, m)-preinvexity

Y Zhang, TS Du, H Wang - Ital. J. Pure Appl. Math, 2018 - researchgate.net
We establish some new k-fractional integral inequalities for differentiable functions based on
generalized (s, m)-preinvexity. We also prove Hadamard-type inequalities involving …

Hermite-Hadamard Type Inequalities Obtained via Fractional Integral for Differentiable m-Convex and ([alpha], m)-Convex Functions

E Set, SS Karatas, MA Khan - International Journal of Analysis, 2016 - search.proquest.com
Research Article Hermite-Hadamard Type Inequalities Obtained via Fractional Integral for
Differentiable 𝑚-Convex and (𝛼, Page 1 Research Article Hermite-Hadamard Type Inequalities …

[PDF][PDF] Fractional Hermite-Hadamard inequalities for some classes of differentiable preinvex functions

MA Noor, KI Noor, MV Mihai… - … . Univ. Bucharest Sci …, 2016 - scientificbulletin.upb.ro
The main objective of this article is to establish some new inequalities of Hermite-Hadamard
type via Riemann-Liouville fractional integrals. We establish a new fractional integral identity …