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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

We discuss some different results on Sidon-type inequalities and on the space of quasi-continuous functions.

Classical Analysis and ODEs · Mathematics 2023-09-26 Artyom Radomskii

This is a short survey of amenable equivalence relations.

Logic · Mathematics 2018-09-05 Justin Tatch Moore

We give different proofs and prove new results on the non complete solvability of some systems of complex first order p.d.e.'s, especially related to the analysis on CR manifolds.

Analysis of PDEs · Mathematics 2011-11-14 C. Denson Hill , Mauro Nacinovich

Some related results to Pecaric's inequality in inner product spaces that generalises Bombieri's inequality, are given.

Analysis of PDEs · Mathematics 2007-05-23 Sever Silvestru Dragomir

This paper discusses the feasibility of testing Bell's inequality with the charmonium decays \eta_c -> \Lambda \Lambda, \chi_{c0} -> \Lambda\Lambda and J/\Psi -> \Lambda\Lambda. We develop a new formulation of the Bell's inequality…

High Energy Physics - Phenomenology · Physics 2016-06-21 Shion Chen , Yuki Nakaguchi , Sachio Komamiya

In this note we prove a weighted version of the Khintchine inequalities.

Probability · Mathematics 2009-09-15 Mark Veraar

We discuss several classical and recent proofs of the isoperimetric inequality and the Sobolev inequality.

Differential Geometry · Mathematics 2024-02-09 Simon Brendle , Michael Eichmair

Young's integral inequality is reformulated with upper and lower bounds for the remainder. The new inequalities improve Young's integral inequality on all time scales, such that the case where equality holds becomes particularly transparent…

Classical Analysis and ODEs · Mathematics 2010-02-15 Douglas R. Anderson , Steven Noren , Brent Perreault

In this paper we give simple proofs for the bounds (some of them sharp) of the difference of the moduli of the second and the first logarithmic coefficient for the general class of univalent functions and for the class of convex univalent…

Complex Variables · Mathematics 2023-11-28 Milutin Obradovic , Nikola Tuneski

Some aspects of $Q$-conditional symmetry and of its connections with reduction and compatibility are discussed.

Mathematical Physics · Physics 2007-05-23 Roman O. Popovych

We discuss alternative iteration methods for differential equations. We provide a convergence proof for exactly solvable examples and show more convenient formulas for nontrivial problems.

Mathematical Physics · Physics 2007-05-23 Paolo Amore , Hakan Ciftci , Francisco M. Fernandez

We give a number of examples of pairs of non-compact surfaces which are isoscattering, and which are exceptionally simple in one or more senses. We give examples which are of small genus with a small number of ends, and also examles which…

Differential Geometry · Mathematics 2007-05-23 Robert Brooks , Orit Davidovich

This paper analyzes effects of time-dependence in the Bell inequality. A generalized inequality is derived for the case when coincidence and non-coincidence [and hence whether or not a pair contributes to the actual data] is controlled by…

Quantum Physics · Physics 2022-03-16 Jan-Åke Larsson , Richard Gill

In this paper, we will prove several new inequalities of Hardy's types with explicit constants. The main results will be proved by making use of some generalizations of Opial's type inequalities and H\"older's inequality. To the best of the…

Classical Analysis and ODEs · Mathematics 2011-12-21 S. H. Saker

We construct a multi-observable uncertainty equality as well as an inequality based on the sum of standard deviations in the qubit system. The obtained equality indicates that the uncertainty relation can be expressed more accurately, and…

Quantum Physics · Physics 2020-06-08 Xiao Zheng , Shaoqiang Ma , Guofeng Zhang

Entanglement between a quantum system and its environment leads to loss of coherence in the former. In general, the temporal fate of coherences is complicated. Here, we establish the connection between decoherence of a central system and…

Quantum Physics · Physics 2013-05-29 T. Gorin , T. Prosen , T. H. Seligman , W. T. Strunz

This note uses a simple example to show how moment inequality models used in the empirical economics literature lead to general minimax relative efficiency comparisons. The main point is that such models involve inference on a low…

Applications · Statistics 2014-12-19 Timothy B. Armstrong

In this paper will be proved an inequality regarding $v_2(a^{b}-c^{d})$. Using this formula it will be possible to have informations about the divisibility of 2 of this function without computing it. Then, will be studied the behavior of…

Number Theory · Mathematics 2021-09-01 Luca Onnis

In this paper we give necessary and sufficient conditions for the equality case in Wielandt's eigenvalue inequality.

Classical Analysis and ODEs · Mathematics 2015-03-24 Shmuel Friedland