Results 61 to 70 of about 813,258 (169)

New Bounds on Hermite–Hadamard–Mercer‐Type Inequalities: Applications and Computational Analysis

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In mathematical analysis, the theory of inequalities plays a fundamental role due to its wide‐ranging applications in various fields of the physical sciences. In this paper, we develop new Hermite–Hadamard–Mercer‐type inequalities involving a broad class of fractional integral operators, including both classical and Caputo–Fabrizio fractional integrals.
Muhammad Muawwaz, Arslan Munir, Ather Qayyum, Mohammed Rabih, Sara Ghareeb, Smritijit Sen   +5 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

New Hermite–Jensen–Mercer-type inequalities via k-fractional integrals

Advances in Difference Equations, 2020
In the article, we establish serval novel Hermite–Jensen–Mercer-type inequalities for convex functions in the framework of the k-fractional conformable integrals by use of our new approaches.
Saad Ihsan Butt, Muhammad Umar, Saima Rashid, Ahmet Ocak Akdemir, Yu-Ming Chu   +4 more
doaj   +1 more source

Green’s Function Approach to Hermite–Hadamard–Mercer Type Fractional Inequalities and Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
The Hermite–Hadamard–Mercer (HHM) inequality, existing in two well‐established forms, plays a fundamental role in mathematical analysis. This inequality is characterized by three distinct components—namely, the left, middle, and right terms. This study is concerned to obtain novel generalized and refined HHM fractional inequalities by employing for the
Muhammad Zafran, Muhammad Adil Khan, Tahir Ullah Khan, Božidar Ivanković, Z. M. M. M. Sayed, Mohamed Sharaf, Francisco J. Garcia-Pacheco   +6 more
wiley   +1 more source

New conticrete inequalities of the Hermite-Hadamard-Jensen-Mercer type in terms of generalized conformable fractional operators via majorization

Demonstratio Mathematica, 2023
The Hermite-Hadamard inequality is regarded as one of the most favorable inequalities from the research point of view. Currently, mathematicians are working on extending, improving, and generalizing this inequality.
Saeed Tareq, Khan Muhammad Adil, Faisal Shah, Alsulami Hamed H., Alhodaly Mohammed Sh.   +4 more
doaj   +1 more source

Projection‐based estimators for matrix/tensor‐valued data

Scandinavian Journal of Statistics, Volume 52, Issue 4, Page 2152-2186, December 2025.
Abstract A general approach for extending estimators to matrix‐ and tensor‐valued data is proposed. The extension is based on using random projections to project out dimensions of a tensor and then computing a multivariate estimator for each projection. The mean of the obtained set of estimates is used as the final, joint estimate. In some basic cases,
Joni Virta, Stanislav Nagy, Klaus Nordhausen   +2 more
wiley   +1 more source

Target Return Strategy

Financial Review, Volume 60, Issue 4, Page 1483-1503, November 2025.
ABSTRACT We study the target return strategy (TRS), which exits the market once the return reaches a preset target. We show that the holding‐period return (HPR) cannot mean‐variance dominate TRS, but TRS can mean‐variance dominate HPR. We theoretically analyze TRS and quantitatively illustrate that training targets by a mean‐variance utility ...
Ying Xue, Zheng Wen, Xu Jiang
wiley   +1 more source

Supporting Literacy Through the Justice and Dialogic Education (JADE) Framework

Reading Research Quarterly, Volume 60, Issue 4, October/December 2025.
Justice and Dialogic Education (JADE) Framework: Stances, Value Orientations, and Pedagogical Dispositions. ABSTRACT This paper introduces the Justice and Dialogic Education (JADE) framework, which integrates dialogic instruction with justice‐oriented pedagogies to foster transformative classroom environments.
Rebecca Lee, Shireen Al‐Adeimi
wiley   +1 more source

Some new generalized fractional Hermite-Hadamard-Mercer inequalities through Jensen-Mercer inequality

This paper establishes novel Hermite–Hadamard–Mercer inequalities for [Formula: see text]-Riemann–Liouville fractional integrals using the Jensen–Mercer inequality.
Chanon Promsakon, Muhammad Amir Ali, Fangfang Shi, Saowaluck Chasreechai   +3 more
core   +1 more source

New variants of the Hermite–Hadamard–Mercer type estimates involving the Beta function with numerical analysis

Boundary Value Problems
A refined form of the Jensen–Mercer inequality has recently been introduced in the literature. Utilizing this improved inequality, we derive several new variants of the Hermite–Hadamard–Mercer type inequality, along with related estimates involving the ...
Eze R. Nwaeze
doaj   +1 more source