Results 71 to 80 of about 1,943 (219)

New Variations and Structural Refinements of Discrete Weighted Jensen and Hermite–Hadamard Inequalities Using (α, m)‐Convex Mappings

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This article develops new Hermite–Hadamard and Jensen‐type inequalities for the class of (α, m)‐convex functions. New product forms of Hermite–Hadamard inequalities are established, covering multiple distinct scenarios. Several nontrivial examples and remarks illustrate the sharpness of these results and demonstrate how earlier inequalities can be ...
Shama Firdous, Waqas Nazeer, Waqar Afzal, Joshua Kiddy K. Asamoah, Hadeel AlQadi, Pramita Mishra   +5 more
wiley   +1 more source

FUNGSI KONVEKS DAN PERTIDAKSAMAAN HERMITE-HADAMARD [PDF]

, 2021
Tujuan dari studi ini adalah mempelajari sifat-sifat Fungsi Konveks dan Pertidaksamaan Hermite-Hadamard. Sebagaimana diketahui bahwa sifat fungsi konveks telah digunakan untuk mengkonstruksi atau pengembangan pertidaksamaan Hermite-Hadamard.
Nabil Mahatir, -
core  

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

Hermite-Hadamard-Fejér Type Inequalities for Preinvex Functions Using Fractional Integrals

Mathematics, 2019
In this paper, we have established the Hermite−Hadamard−Fejér inequality for fractional integrals involving preinvex functions. The results presented here provide new extensions of those given in earlier works as the weighted estimates ...
Sikander Mehmood, Fiza Zafar, Nusrat Yasmin   +2 more
doaj   +1 more source

Refinements of the Jensen Inequality and Estimates of the Jensen Gap Based on Interval‐Valued Functions

Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12567-12576, August 2025.
ABSTRACT The significance of the Jensen inequality stems from its impactful and compelling outcomes. As a generalization of classical convexity, it plays a key role in deriving other well‐known inequalities such as Hermite–Hadamard, Hölder, Minkowski, arithmetic‐geometric, and Young's inequalities.
İzzettin Demir
wiley   +1 more source

The Hermite–Hadamard–Mercer Type Inequalities via Generalized Proportional Fractional Integral Concerning Another Function

International Journal of Mathematics and Mathematical Sciences, 2022
In order to be able to study cosmic phenomena more accurately and broadly, it was necessary to expand the concept of calculus. In this study, we aim to introduce a new fractional Hermite–Hadamard–Mercer’s inequality and its fractional integral type ...
Tariq A. Aljaaidi, Deepak B. Pachpatte
doaj   +1 more source

Quantum Ghost Imaging by Sparse Spatial Mode Reconstruction

Advanced Quantum Technologies, Volume 8, Issue 5, May 2025.
Hermite–Gaussian spatial modes are used in quantum ghost imaging for enhanced image reconstruction, by exploiting modal sparsity. By leveraging structured light as a basis for imaging, time‐efficient and high resolution quantum ghost imaging is achieved, paving the way for breakthroughs in low‐light, biological science applications.
Fazilah Nothlawala, Chané Moodley, Neelan Gounden, Isaac Nape, Andrew Forbes   +4 more
wiley   +1 more source

Matrix Hermite–Hadamard type inequalities for bivariate convex functions

Journal of Inequalities and Applications
Considering convexity as well as matrix convexity for bivariate functions, we investigate the well-known Hermite–Hadamard inequality. In the case of separately convex bivariate functions, we present some majorization and norm inequalities. In the case of
Mohsen Kian, Mohsen Rostamian Delavar
doaj   +1 more source

Refinements of the Hermite-Hadamard Integral Inequality for Log-Convex Functions

, 2000
Two refinements of the classical Hermite-Hadamard integral inequality for log-convex functions and applications for special means are ...
Dragomir, Sever S
core  

Sketched and Truncated Polynomial Krylov Methods: Evaluation of Matrix Functions

Numerical Linear Algebra with Applications, Volume 32, Issue 1, February 2025.
ABSTRACT Among randomized numerical linear algebra strategies, so‐called sketching procedures are emerging as effective reduction means to accelerate the computation of Krylov subspace methods for, for example, the solution of linear systems, eigenvalue computations, and the approximation of matrix functions.
Davide Palitta, Marcel Schweitzer, Valeria Simoncini   +2 more
wiley   +1 more source