Results 71 to 80 of about 4,645 (131)

Iq-Calculus and Iq-Hermite–Hadamard inequalities for interval-valued functions

Advances in Difference Equations, 2020
In this paper, we introduce the Iq-derivative and Iq-integral for interval-valued functions and give their basic properties. As a promotion of q-Hermite–Hadamard inequalities, we also give the Iq-Hermite-Hadamard inequalities for interval-valued ...
Tianyi Lou, Guoju Ye, Dafang Zhao, Wei Liu   +3 more
doaj   +1 more source

Advancements in Harmonic Convexity and Its Role in Modern Mathematical Analysis

Journal of Mathematics, Volume 2025, Issue 1, 2025.
Convex functions play an integral part in artificial intelligence by providing mathematical guarantees that make optimization more efficient and reliable. In this manuscript, we originate and analyze a novel category of convexity, namely, harmonically trigonometric p‐convex functions, and explore their properties.
Sabila Ali, Muhammad Samraiz, Saima Naheed, Miguel Vivas-Cortez, B. B. Upadhyay   +4 more
wiley   +1 more source

Hermite–Hadamard and Hermite–Hadamard–Fejer type inequalities for p-convex functions via conformable fractional integrals

Journal of Inequalities and Applications, 2020
In this paper, we obtain the Hermite–Hadamard and Hermite–Hadamard–Fejer type inequalities for p-convex functions via conformable fractional integrals. We also discuss some special cases.
Naila Mehreen, Matloob Anwar
doaj   +1 more source

More About Hermite-Hadamard Inequalities, Cauchy's Means, and Superquadracity

Journal of Inequalities and Applications, 2010
New results associated with Hermite-Hadamard inequalities for superquadratic functions are given. A set of Cauchy's type means is derived from these Hermite-Hadamard-type inequalities, and its log-convexity and monotonicity are proved.
Farid G, Pečarić J, Abramovich S   +2 more
doaj  

Generalization of Hermite-Hadamard Type Inequalities via Conformable Fractional Integrals

Journal of Function Spaces, 2018
We establish a Hermite-Hadamard type identity and several new Hermite-Hadamard type inequalities for conformable fractional integrals and present their applications to special bivariate means.
Muhammad Adil Khan, Yousaf Khurshid, Ting-Song Du, Yu-Ming Chu   +3 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

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

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

INTEGRAL INEQUALITIES OF HERMITE – HADAMARD TYPE FOR ((α, m), log)-CONVEX FUNCTIONS ON CO–ORDINATES

Проблемы анализа, 2015
The convexity of functions is a basic concept in mathematics and it has been generalized in various directions. Establishing integral inequalities of Hermite – Hadamard type for various convex functions is one of main topics in the theory of convex ...
Bo-Yan Xi, Feng Qi
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