Results 51 to 60 of about 27,878 (202)

Hadamard’s inequality in the mean

Nonlinear Analysis
Let $Q$ be a Lipschitz domain in $\mathbb{R}^n$ and let $f \in L^{\infty}(Q)$. We investigate conditions under which the functional $$I_n(φ)=\int_Q |\nabla φ|^n+ f(x)\,\mathrm{det} \nabla φ\, \mathrm{d}x $$ obeys $I_n \geq 0$ for all $φ\in W_0^{1,n}(Q,\mathbb{R}^n)$, an inequality that we refer to as Hadamard-in-the-mean, or (HIM).
Bevan, Jonathan, Kružík, Martin, Valdman, Jan   +2 more
openaire   +3 more sources

Partitioned and Hadamard product matrix inequalities [PDF]

Journal of Research of the National Bureau of Standards, 1978
This note is partly expositor). Inequalities relating inversion with, respectively, extraction of principal submatriees and the Hadamard product in the two possible orders are developed in a simple and unified way for positive definite matrices. These inequalities are known, hut we also characterize the cases of equality and strict inequality.
openaire   +3 more sources

Simulating Quantum State Transfer Between Distributed Devices Using Noisy Interconnects

Advanced Quantum Technologies, EarlyView.
Noisy connections challenge future networked quantum computers. This work presents a practical method to address this by simulating an ideal state transfer over noisy interconnects. The approach reduces the high sampling cost of previous methods, an advantage that improves as interconnect quality gets better.
Marvin Bechtold, Johanna Barzen, Frank Leymann, Alexander Mandl   +3 more
wiley   +1 more source

Hermite–Hadamard type inequalities for fractional integrals via Green’s function

Journal of Inequalities and Applications, 2018
In the article, we establish the left Riemann–Liouville fractional Hermite–Hadamard type inequalities and the generalized Hermite–Hadamard type inequalities by using Green’s function and Jensen’s inequality, and present several new Hermite–Hadamard type ...
Muhammad Adil Khan, Arshad Iqbal, Muhammad Suleman, Yu-Ming Chu   +3 more
doaj   +1 more source

Post-quantum trapezoid type inequalities

AIMS Mathematics, 2020
In this study, the assumption of being differentiable for the convex function f in the (p, q)-Hermite-Hadamard inequality is removed. A new identity for the right-hand part of (p, q)-Hermite-Hadamard inequality is proved.
Muhammad Amer Latif, Mehmet Kunt, Sever Silvestru Dragomir, İmdat İşcan   +3 more
doaj   +1 more source

Matrix Hermite-Hadamard type inequalities [PDF]

, 2013
We present several matrix and operator inequalities of Hermite-Hadamard type. We first establish a majorization version for monotone convex functions on matrices. We then utilize the Mond-Pecaric method to get an operator version for convex functions. We
Moslehian, Mohammad Sal
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A Sharp Multidimensional Hermite–Hadamard Inequality [PDF]

International Mathematics Research Notices, 2020
Abstract Let $\Omega \subset {\mathbb{R}}^d $, $d \geq 2$, be a bounded convex domain and $f\colon \Omega \to{\mathbb{R}}$ be a non-negative subharmonic function. In this paper, we prove the inequality $$\begin{equation*} \frac{1}{|\Omega|}\int_{\Omega} f(x)\, \textrm{d}x \leq \frac{d}{|\partial\Omega|}\int_{\partial\Omega} f(x ...
openaire   +3 more sources

Entanglement Swapping for Partially Entangled Qudits and the Role of Quantum Complementarity

Advanced Quantum Technologies, EarlyView.
The entanglement swapping protocol is extended to partially entangled qudit states and analyzed through complete complementarity relations. Analytical bounds on the average distributed entanglement are established, showing how the initial local predictability and entanglement constrain the operational distribution.
Diego S. Starke, Marcos L. W. Basso, Lucas C. Céleri, Jonas Maziero   +3 more
wiley   +1 more source

Quantum Inspired Universal Analog Computation Based on Circuits

Advanced Quantum Technologies, EarlyView.
We propose an analog scheme of classical circuit for universal quantum computation. The information is encoded using correlated electrical signals, and the number of the basic computing components employed in our circuit design is consistent with the number of the quantum gate in the quantum circuit.
Hanxu Zhang, Yifan Sun, Xiangdong Zhang
wiley   +1 more source

Ostrowski type inequalities for harmonically s-convex functions [PDF]

, 2013
The author introduces the concept of harmonically s-convex functions and establishes some Ostrowski type inequalities and Hermite-Hadamard type inequality of these classes of functions.Comment: 11 ...
Iscan, Imdat
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