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We prove certain type symmetric inequalities in $\textbf{R}^{2}$ and $\textbf{R}^3$, that ocur in many problems of analysis. These inequalities are generalizations of the Jensen's inequality from one variable to two and three variables

General Mathematics · Mathematics 2022-12-20 Nikolaos D. Bagis

In the recent years, the trace norm of graphs has been extensively studied under the name of graph energy. In this paper some of this research is extended to more general matrix norms, like the Schatten p-norms and the Ky Fan k-norms.…

Combinatorics · Mathematics 2010-08-05 Vladimir Nikiforov

There is a lot of information available concerning Hardy-Hilbert type inequalities in one or more dimensions. In this paper we introduce the development of such inequalities on homogeneous groups. Moreover, we point out a unification of…

Functional Analysis · Mathematics 2025-02-17 Markos Fisseha Yimer , Lars Erik Persson , Michael Ruzhansky , Natasha Samko , Tsegaye Gedif Ayele

Counterfactuals in quantum theory are briefly reviewed and it is argued that they are very different from counterfactuals considered in the general philosophical literature. The issue of time symmetry of quantum counterfactuals is…

Quantum Physics · Physics 2007-05-23 L. Vaidman

In this paper, by using hardy inequality, we establish some new integral inequalities of Hardy-Hilbert type with general kernel. As applications, equivalent forms and some particular results are built; the corresponding to the double series…

General Mathematics · Mathematics 2011-10-21 Guang-Sheng Chen

An individual's identity in a human society is specified by his or her name. Differently from family names, usually inherited from fathers, a given name for a child is often chosen at the parents' disposal. However, their decision cannot be…

Physics and Society · Physics 2015-10-28 Mi Jin Lee , Woo Seong Jo , Il Gu Yi , Seung Ki Baek , Beom Jun Kim

Graph mining algorithms have been playing a significant role in myriad fields over the years. However, despite their promising performance on various graph analytical tasks, most of these algorithms lack fairness considerations. As a…

Machine Learning · Computer Science 2023-04-12 Yushun Dong , Jing Ma , Song Wang , Chen Chen , Jundong Li

In this note we consider inequalities involving the error function $\phi$. Our methodes give new proofs of some known inequalities of Komatsu, and of Szarek and Werner, and also produce two families of inequalities that give upper and lower…

Classical Analysis and ODEs · Mathematics 2007-05-23 Omran Kouba

In this paper, we got some refinements of the norm inequalities related to the Heinz mean and logarithmic mean.

Classical Analysis and ODEs · Mathematics 2022-06-14 Guanghua Shi

This note provides some new inequalities and approximations for beta distributions, including tail inequalities, exponential inequalities of Hoeffding and Bernstein type, Gaussian inequalities and approximations.

Statistics Theory · Mathematics 2023-08-21 Alexander Henzi , Lutz Duembgen

In this article, we obtain two interesting general inequalities concerning Riemman sums of convex functions, which in particular, sharpen Alzer's inequality and give a suitable converse for it.

Classical Analysis and ODEs · Mathematics 2007-10-22 Jamal Rooin

Recent development in quantum computation and quantum information theory allows to extend the scope of game theory for the quantum world. The paper presents the history and basic ideas of quantum game theory. Description of Giffen paradoxes…

Condensed Matter · Physics 2014-10-13 J. Sladkowski

We consider some integral-geometric quantities that have recently arisen in harmonic analysis and elsewhere, derive some sharp geometric inequalities relating them, and place them in a wider context.

Functional Analysis · Mathematics 2024-04-09 Silouanos Brazitikos , Anthony Carbery , Finlay McIntyre

Recent developments in cosmic strings are reviewed, with emphasis on unresolved problems.

High Energy Physics - Theory · Physics 2007-06-20 Alexander Vilenkin

Identities and inequalities for the cosine and sine functions are obtained.

Classical Analysis and ODEs · Mathematics 2020-01-13 Iosif Pinelis

In this paper we study some weak majorization properties with applications for the trees. A strongly notion of majorization is introduced and Hardy-Littlewood-Polya's inequality is generalized.

Classical Analysis and ODEs · Mathematics 2014-12-17 Ionel Roventa

Main interest of the present paper is to obtain the generalized Wintgen inequality for Legendrian submanifolds in almost Kenmotsu manifolds.

Differential Geometry · Mathematics 2018-06-26 R. Gorunus , I. Kupeli Erken , A. Yazla , C. Murathan

Gender disparities appear to be decreasing in academia according to a number of metrics, such as grant funding, hiring, acceptance at scholarly journals, and productivity, and it might be tempting to think that gender inequity will soon be…

Physics and Society · Physics 2015-06-12 Jevin D. West , Jennifer Jacquet , Molly M. King , Shelley J. Correll , Carl T. Bergstrom

An inequality in quantum mechanics, which does not appear to be well known, is derived by elementary means and shown to be quite useful. The inequality applies to 'all' operators and 'all' pairs of quantum states, including mixed states. It…

Atomic Physics · Physics 2007-05-23 Gordon N. Fleming

Attention is drawn to problems associated with superstatistics, including the apparent lack of knowledge of previous work in statistical physics displayed by workers in this supposedly new field.

General Physics · Physics 2007-05-23 J. Dunning-Davies
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