Results 61 to 70 of about 264 (118)

Some well known inequalities for (h1, h2)-convex stochastic process via interval set inclusion relation [PDF]

, 2023
This note introduces the concept of (h1, h2)-convex stochastic processes using intervalvalued functions. First we develop Hermite-Hadmard (H.H) type inequalities, then we check the results for the product of two convex stochastic process mappings, and ...
Abbas, Mujahid, Afzal, Waqar, Eldin, Sayed M., Khan, Zareen A.   +3 more
core   +1 more source

New inequalities via Caputo-Fabrizio integral operator with applications [PDF]

, 2023
Fractional integral inequalities have become one of the most useful and expansive tools for the development of many fields of pure and applied mathematics over the past few years.
Arslan Munir, Hong Yang, Muhammad Naeem, Shahid Qaisar   +3 more
core   +1 more source

Improved Hermite–Hadamard Inequality Bounds for Riemann–Liouville Fractional Integrals via Jensen’s Inequality

Fractal and Fractional
This paper derives the sharp bounds for Hermite–Hadamard inequalities in the context of Riemann–Liouville fractional integrals. A generalization of Jensen’s inequality called the Jensen–Mercer inequality is used for general points to find the new and ...
Muhammad Aamir Ali, Wei Liu, Shigeru Furuichi, Michal Fečkan   +3 more
doaj   +1 more source

Extreme gaps between eigenvalues of random matrices

, 2013
This paper studies the extreme gaps between eigenvalues of random matrices. We give the joint limiting law of the smallest gaps for Haar-distributed unitary matrices and matrices from the Gaussian unitary ensemble.
Arous, Gérard Ben, Bourgade, Paul
core   +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

Time Scales Integral Inequalities for Superquadratic Functions [PDF]

, 2013
In this paper, two different methods of proving Jensen\u27s inequality on time scales for superquadratic functions are demonstrated. Some refinements of classical inequalities on time scales are obtained using properties of superquadratic functions and ...
Barić, Josipa, Bibi, Rabia, Bohner, Martin, Pečarić, Josip   +3 more
core   +2 more sources

Integral inequalities of Hermite-Hadamard type via $ q-h $ integrals [PDF]

, 2023
The well-known Hermite-Hadamard inequality for convex functions is extensively studied for different kinds of integrals and derivatives. This paper investigates some of its variants for $ q-h $-integrals using properties of convex functions. Inequalities
Dong Chen, Ghulam Farid, Matloob Anwar, Waseela Bibi   +3 more
core   +1 more source

A Fractal Approach to Hermite–Hadamard Type Inequalities via Generalized Beta Function

Journal of Mathematics, Volume 2025, Issue 1, 2025.
The main aim of this manuscript is to explore the connection between fractal geometry and convexity, highlighting the mathematical appeal of fractals. Using the beta function, we introduce a new class of generalized Hermite–Hadamard (HH) type inequalities.
Saad Ihsan Butt, Muhammad Mehtab, Youngsoo Seol, Mohammad W. Alomari   +3 more
wiley   +1 more source

Exploring Advanced Versions of Hermite‐Hadamard and Trapezoid‐Type Inequalities by Implementation of Fuzzy Interval‐Valued Functions

Journal of Function Spaces, Volume 2024, Issue 1, 2024.
The extension of interval‐valued and real‐valued functions known as fuzzy interval‐valued function (FIVF) has made substantial contributions to the theory of interval analysis. In this article, we explore the importance of h‐Godunova‐Levin fuzzy convex and preinvex functions and also develop the new generation of the Hermite‐Hadamard and trapezoid‐type
Yaqun Niu, Rana Safdar Ali, Naila Talib, Shahid Mubeen, Gauhar Rahman, Çetin Yildiz, Fuad A. Awwad, Emad A. A. Ismail, Wilfredo Urbina   +8 more
wiley   +1 more source

New fractional estimates for Hermite-Hadamard-Mercer’s type inequalities

Alexandria Engineering Journal, 2020
An analogous version of Hermite-Hadamard-Mercer’s inequality has been established using the Katugampola fractional integral operators. The result is the generalization of the Riemann-Liouville fractional integral operator combined with the left and right
Hong-Hu Chu, Saima Rashid, Zakia Hammouch, Yu-Ming Chu   +3 more
doaj   +1 more source