Results 71 to 80 of about 185 (156)

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

Looking back and looking forward: A scientometric analysis of the evolution of corporate sustainability research over 47 years

Corporate Social Responsibility and Environmental Management, Volume 31, Issue 3, Page 2225-2259, May 2024.
Abstract This study systematically reviews the evolutionary trajectory of corporate sustainability research spanning from 1973 to 2019. Through a scientometric analysis of 26,111 Web of Science articles, it demonstrates the continuous development of the conceptual foundations of corporate sustainability, leading to changes in research subjects over ...
Soh Young In, Young Joon Lee, Robert G. Eccles   +2 more
wiley   +1 more source

Further Jensen--Mercer's type inequalities for convex functions

Journal of Mathematical Inequalities
Summary: This article considers the class of convex functions and derives further Jensen-Mercer'stype inequalities. The obtained results improve and generalize some known inequalities. A reverse of Jesnen-Mercer's inequality for scalars and operators is also given.
Mohebbi, Faezeh Parvin, Hassani, Mahmoud, Omidvar, Mohsen Erfanian, Moradi, Hamid Reza, Furuichi, Shigeru   +4 more
openaire   +2 more sources

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

A study of new quantum Montgomery identities and general Ostrowski like inequalities

Ain Shams Engineering Journal
The main objective of this paper is to analyze the Montgomery identities and Ostrowski like inequalities, within the framework of quantum calculus. The study utilizes qϖ3 and qϖ4 differentiable functions to establish two new Montgomery identities, which ...
Muhammad Uzair Awan, Muhammad Zakria Javed, Huseyin Budak, Y.S. Hamed, Jong-Suk Ro   +4 more
doaj   +1 more source

Derivation of Hermite-Hadamard-Jensen-Mercer conticrete inequalities for Atangana-Baleanu fractional integrals by means of majorization

Demonstratio Mathematica
This article is mainly concerned to link the Hermite-Hadamard and the Jensen-Mercer inequalities by using majorization theory and fractional calculus. We derive the Hermite-Hadamard-Jensen-Mercer-type inequalities in conticrete form, which serve as both ...
Wu Shanhe, Khan Muhammad Adil, Faisal Shah, Saeed Tareq, Nwaeze Eze R.   +4 more
doaj   +1 more source

Fractional Integral Estimates of Boole Type: Majorization and Convex Function Approach with Applications

Fractal and Fractional
The goal of this paper is to use a Boole-type inequality framework to provide better estimates for differentiable functions. Using majorization theory, fractional integral operators are incorporated into a new auxiliary identity.
Saad Ihsan Butt, Mohammed Alammar, Youngsoo Seol   +2 more
doaj   +1 more source

Humanitarian inversions: COVID-19 as crisis. [PDF]

Trans Inst Br Geogr, 2022
Herrick C, Kelly A, Soulard J.
europepmc   +1 more source

Hermite–Hadamard–Mercer Inequalities Associated with Twice-Differentiable Functions with Applications

Axioms
In this work, we initially derive an integral identity that incorporates a twice-differentiable function. After establishing the recently created identity, we proceed to demonstrate some new Hermite–Hadamard–Mercer-type inequalities for twice ...
Muhammad Aamir Ali, Thanin Sitthiwirattham, Elisabeth Köbis, Asma Hanif   +3 more
doaj   +1 more source

New estimates on generalized Hermite–Hadamard–Mercer-type inequalities

Boundary Value Problems
The concept of a convex function plays a crucial role in fields of mathematical analysis and inequality theory. The importance of convex functions is exemplified by Mercer’s inequality.
Çetin Yıldız, Samet Erden, Seth Kermausuor, Daniel Breaz, Luminiţa-Ioana Cotîrlă   +4 more
doaj   +1 more source