Results 61 to 70 of about 786 (135)

On Fractional Hermite–Hadamard-Type Inequalities for Harmonically s-Convex Stochastic Processes

Fractal and Fractional
In this paper, we investigate Hermite–Hadamard-type inequalities for harmonically s-convex stochastic processes via Riemann–Liouville fractional integrals. We begin by introducing the notion of harmonically s-convex stochastic processes. Subsequently, we
Rabab Alzahrani, Raouf Fakhfakh, Ghadah Alomani, Badreddine Meftah   +3 more
doaj   +1 more source

Generalized Error Bounds for Mercer-Type Inequalities in Fractional Integrals with Applications

Universal Journal of Mathematics and Applications
Fractional integral inequalities have emerged as powerful and versatile tools in advancing both pure and applied mathematics in recent years. Numerous researchers have recently introduced various generalized inequalities involving fractional integral ...
Arslan Munir, Hüseyin Budak, Artion Kashuri   +2 more
doaj   +1 more source

Hermite–Hadamard- and Pachpatte-type integral inequalities for generalized subadditive functions in the fractal sense

Miskolc Mathematical Notes
In this paper, we establish the generalized Hermite–Hadamard- and Pachpatte-type integral inequalities for local fractional integrals via the generalized subadditive functions.
Tingsong Du, Lei Xu
doaj   +1 more source

Refinements of some fractional integral inequalities involving extended convex functions and fractional Caputo derivatives

Journal of Inequalities and Applications
This article examines famous fractional Hermite–Hadamard integral inequalities through the applications of fractional Caputo derivatives and extended convex functions. We develop modifications involving two known classical fractional extended versions of
Muhammad Imran, Shahid Mubeen, Aziz Khan, Thabet Abdeljawad   +3 more
doaj   +1 more source

Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals

International Journal of Analysis and Applications, 2018
The paper deals with quasi-convex functions, Katugampola fractional integrals and Hermite-Hadamard type integral inequalities. The main idea of this paper is to present new Hermite-Hadamard type inequalities for quasi-convex functions using Katugampola ...
Erhan Set, Ilker Mumcu
doaj   +2 more sources

On q-Hermite-Hadamard Inequalities for Differentiable Convex Functions

Mathematics, 2019
In this paper, we establish some new results on the left-hand side of the q-Hermite−Hadamard inequality for differentiable convex functions with a critical point. Our work extends the results of Alp et.
Seksan Jhanthanam, Jessada Tariboon, Sotiris K. Ntouyas, Kamsing Nonlaopon   +3 more
doaj   +1 more source

Ostrowski and Čebyšev type inequalities for interval-valued functions and applications. [PDF]

PLoS One, 2023
Guo J, Zhu X, Li W, Li H.
europepmc   +1 more source

ON NEW INEQUALITIES OF HERMITE-HADAMARD TYPE FOR FUNCTIONS WHOSE FOURTH DERIVATIVE ABSOLUTE VALUES ARE QUASI-CONVEX WITH APPLICATIONS

Journal of New Theory, 2016
Abstaract−We establish some new inequalities of Hermite-Hadamard type for functions whose fourth derivatives absolute values are quasi-convex. Further, we give new identity.Using this new identity, we establish similar inequalities for left-hand side of ...
Imran Abbas Baloch, Basharat Rehman Ali
doaj  

Quantum Estimates for Different Type Intequalities through Generalized Convexity. [PDF]

Entropy (Basel), 2022
Almutairi OB.
europepmc   +1 more source

New Parameterized Inequalities for η-Quasiconvex Functions via (p, q)-Calculus. [PDF]

Entropy (Basel), 2021
Kalsoom H, Vivas-Cortez M, Idrees M, Agarwal P.   +3 more
europepmc   +1 more source