Results 61 to 70 of about 512,435 (325)
A remark on an integral inequality [PDF]
Bulletin of the Australian Mathematical Society, 1981 A counter example is constructed to show that an integral inequality established by Sree Hari Rao (Theorem 3.1,J. Math. Anal. Appl. 72(1979), 545–550) is erroneous.
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Non‐Hermitian Topological Lattice Photonics: An Analytic Perspective
Advanced Photonics Research, EarlyView.This review establishes exact analytical solutions for non‐Hermitian Hatano–Nelson, Su–Schrieffer–Heeger, and generalized Rice–Mele models. We demonstrate non‐Hermitian skin effects via point‐gap topology, hybrid skin‐topological edge states in 2D lattices, and spin‐polarized boundary modes governed by dual bulk‐boundary correspondence.
Shihua Chen +6 more
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Generalisations of Integral Inequalities of Hermite-Hadamard type through Convexity
, 2012 In this paper, we establish various inequalities for some differentiable mappings that are linked with the illustrious Hermite-Hadamard integral inequality for mappings whose derivatives are $s$-$(\alpha,m)$-convex.The generalised integral inequalities ...
Bhatti, Muhammad Iqbal +2 more
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Advanced Photonics Research, EarlyView.Herein, the maximum violation of the three‐setting Clauser–Horne–Shimony–Holt (CHSH) inequality using nonmaximally entangled photons with orbital angular momentum is demonstrated. By mapping the optimization problem to maximizing a triangle's perimeter inscribed in an ellipse, the experiment validates the geometric approach and highlights the ...
Dongkai Zhang +2 more
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Advanced Theory and Simulations, EarlyView.The seal louse Echinophthirius horridus has uniquely shaped setae that may reduce drag during its host's dives. Using numerical simulations, this study demonstrates that their natural inclination promotes vortex formation, minimizing friction and energy loss. These findings provide insights into biological surface adaptations and may inspire the design
Anika Preuss +3 more
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A more generalized Gronwall-like integral inequality with applications
International Journal of Mathematics and Mathematical Sciences, 2003 This paper deals with a new Gronwall-like integral inequality which is a generalization of integral inequalities proved by Engler (1989) and Pachpatte (1992).
Qinghua Ma, Lokenath Debnath
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q-Hardy type inequalities for quantum integrals
Advances in Difference Equations, 2021 The aim of this work is to obtain quantum estimates for q-Hardy type integral inequalities on quantum calculus. For this, we establish new identities including quantum derivatives and quantum numbers.
Necmettin Alp, Mehmet Zeki Sarikaya
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An Ostrowski Type Inequality for Convex Functions [PDF]
, 2002 An Ostrowski type integral inequality for convex functions and applications for quadrature rules and integral means are given. A refinement and a counterpart result for Hermite-Hadamard inequalities are obtained and some inequalities for pdf's and (HH ...
Dragomir, Sever Silvestru
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Some new inequalities of Hermite-Hadamard's type
, 2010 In this paper, we establish several new inequalities for some differantiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality.
Saglam, A. +2 more
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Bioprinted Organoids: An Innovative Engine in Biomedicine
Advanced Science, EarlyView.Bioprinted organoids refer to either the printing of stem cells into tissue shape and subsequent differentiate into organoids, or assembling induced organoids as bioinks to replicate native organ. It enables the creation of miniaturized organs with complex architectures and physiological functions, potentially enhancing reproducibility, throughput, and
Zhengwei Li +11 more
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