Results 71 to 80 of about 5,323 (169)

Fractional Jensen-Mercer Type Inequalities Involving Generalized Raina’s Function and Applications

Symmetry, 2022
The aim of this paper is to derive some new generalized fractional analogues of Mercer type inequalities, essentially using the convexity property of the functions and Raina’s function. We also discuss several new special cases which show that our results are, to an extent, unifying. In order to illustrate the significance of our results, we offer some
Kamsing Nonlaopon, Muhammad Uzair Awan, Usama Asif, Muhammad Zakria Javed, Ibrahim Slimane, Artion Kashuri   +5 more
openaire   +1 more source

An Estimation of Different Kinds of Integral Inequalities for a Generalized Class of Godunova–Levin Convex and Preinvex Functions via Pseudo and Standard Order Relations

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
The connection between generalized convexity and analytic operators is deeply rooted in functional analysis and operator theory. To put the ideas of preinvexity and convexity even closer together, we might state that preinvex functions are extensions of convex functions. Integral inequalities are developed using different types of order relations, each
Zareen A. Khan, Waqar Afzal, Nikhil Khanna   +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

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

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

The Jensen-Mercer Inequality with Infinite Convex Combinations

Mathematical Sciences and Applications E-Notes, 2019
The paper deals with discrete forms of double inequalities related to convex functions of one variable. Infinite convex combinations and sequences of convex combinations are included. The double inequality form of the Jensen-Mercer inequality and its variants are especially studied.
openaire   +5 more sources

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

Refined Error Estimates for Milne–Mercer-Type Inequalities for Three-Times-Differentiable Functions with Error Analysis and Their Applications

Fractal and Fractional
In this study, we examine the error bounds related to Milne-type inequalities and a widely recognized Newton–Cotes method, originally developed for three-times-differentiable convex functions within the context of Jensen–Mercer inequalities. Expanding on
Arslan Munir, Shumin Li, Hüseyin Budak, Artion Kashuri, Loredana Ciurdariu   +4 more
doaj   +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

Newton–Simpson-type inequalities via majorization

Journal of Inequalities and Applications, 2023
In this article, the main objective is construction of fractional Newton–Simpson-type inequalities with the concept of majorization. We established a new identity on estimates of definite integrals utilizing majorization and this identity will lead us to
Saad Ihsan Butt, Iram Javed, Praveen Agarwal, Juan J. Nieto   +3 more
doaj   +1 more source