Results 61 to 70 of about 1,292 (179)

An Hadamard-type inequality

Linear Algebra and its Applications, 2014
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Bekjan, Turdebek N., Raikhan, Madi
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Shape Derivatives of the Eigenvalues of the de Rham Complex for Lipschitz Deformations and Variable Coefficients: Part II

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14244-14265, August 2026.
ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

Hadamard's Inequality forr-Convex Functions

Journal of Mathematical Analysis and Applications, 1997
Versions of the upper Hadamard inequality are developed for r-convex and r-concave functions. (C) 1997 Academic Press. [References: 8]
Gill, P., Pearce, C., Pecaric, J.
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Randomized Algorithms for Streaming Low‐Rank Approximation in Tree Tensor Network Format

Numerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT In this work, we present the tree tensor network Nyström (TTNN), an algorithm that extends recent research on streamable tensor approximation, such as for Tucker and tensor‐train formats, to the more general tree tensor network format, enabling a unified treatment of various existing methods.
Alberto Bucci, Gianfranco Verzella
wiley   +1 more source

Fractional Integral Inequalities of Riemann–Liouville Type for Higher‐Order Differentiable Convex Mappings

Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 12313-12323, 30 July 2026.
ABSTRACT In this paper, we investigate several Riemann–Liouville fractional integral inequalities for higher‐order differentiable functions using a simple and novel approach. First, we present an inequality involving fractional integrals that generalizes the right‐hand side of the fundamental Hermite–Hadamard inequality to higher‐order derivatives ...
Samet Erden, Hüseyin Budak
wiley   +1 more source

Hadamard Inequalities for Strongly α,m-Convex Functions via Caputo Fractional Derivatives

Journal of Mathematics, 2021
In this paper, we present two versions of the Hadamard inequality for α,m convex functions via Caputo fractional derivatives. Several related results are analyzed for convex and m-convex functions along with their refinements and generalizations.
Yanliang Dong, Muhammad Zeb, Ghulam Farid, Sidra Bibi   +3 more
doaj   +1 more source

The Hermite Hadamard Inequality on Hypercuboid

JOURNAL OF ADVANCES IN MATHEMATICS, 2019
Given any a := (a1; a2,... ; an) and b := (b1; b2;... ; bn) in Rn. The n-fold convex function dened on [a; b], a; b 2 Rn with a < b is a convex function in each variable separately. In this work we prove an inequality of Hermite-Hadamard type for n-fold convex functions. Namely, we establish the inequality
openaire   +3 more sources

Old and New on the Hermite-Hadamard Inequality

Real Analysis Exchange, 2004
This paper is a survey of the results grown up from the Hermite-Hadamard inequality. Both, old and new results are presented, complemented and discussed within this framework. The Hermite-Hadamard inequality is presented in connection with subdifferentials and quadrature formulae; some improvements of it are discussed. Then a short account on classical
Niculescu, Constantin P., Persson, Lars-Erik   +1 more
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Cross‐Scale Synergistic Optimization for Miniature Meta‐Liquid Hybrid Zoom Imaging

Nanophotonics, Volume 15, Issue 13, 13 July 2026.
A physically constrained optimization framework links electrowetting liquid lenses and metasurface dispersion engineering to realize a compact visible‐band achromatic zoom imager. By co‐optimizing zoom actuation, meta‐atom manufacturability, and system aberrations, the design achieves 1.5x zoom in a 15.5 mm track and clarifies robustness against ...
Zhuoxuan Fan, Meng Zhang, Zihao Gan, Mengyue Chang, Ce Zhang, Zhaoyang Liu, Jianming Lv, Kunsheng Xing, Zhuoqun Hu, Junbo Yang, Huajie Hong   +10 more
wiley   +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