Results 21 to 30 of about 490,432 (283)

Topological convolution algebras [PDF]

, 2013
In this paper we introduce a new family of topological convolution algebras of the form $\bigcup_{p\in\mathbb N} L_2(S,\mu_p)$, where $S$ is a Borel semi-group in a locally compact group $G$, which carries an inequality of the type $\|f*g\|_p\le A_{p,q}\|
Alpay, Daniel, Salomon, Guy
core   +3 more sources

Cauchy's functional equation and extensions: Goldie's equation and inequality, the Go{\l}\k{a}b-Schinzel equation and Beurling's equation [PDF]

, 2014
The Cauchy functional equation is not only the most important single functional equation, it is also central to regular variation. Classical Karamata regular variation involves a functional equation and inequality due to Goldie; we study this, and its ...
Bingham, N. H., Ostaszewski, A. J.
core   +2 more sources

Measure of quality and certainty approximation of functional inequalities

AIMS Mathematics
To make a decision to select a suitable approximation for the solution of a functional inequality, we need reliable information. Two useful information ideas are quality and certainty, and the measure of quality and certainty approximation of the ...
Zahra Eidinejad, Reza Saadati , Donal O'Regan, Fehaid Salem Alshammari   +3 more
doaj   +1 more source

An inequality for a quadratic functional

Vietnam Journal of Mechanics, 2009
An inequality is proved for a quadratic functional with the logarithmic kernel. The best constant of this inequality and the corresponding function for which the equality holds are found precisely.
Le Khanh Chau
doaj   +1 more source

The functional inequality for the mixed quermassintegral

Journal of Inequalities and Applications, 2020
In this paper, the functional Quermassintegrals of a log-concave function in R n $\mathbb{R}^{n}$ are discussed. The functional inequality for the ith mixed Quermassintegral is established.
Fangwei Chen, Jianbo Fang, Miao Luo, Congli Yang   +3 more
doaj   +1 more source

Subgaussian concentration inequalities for geometrically ergodic Markov chains [PDF]

, 2015
We prove that an irreducible aperiodic Markov chain is geometrically ergodic if and only if any separately bounded functional of the stationary chain satisfies an appropriate subgaussian deviation inequality from its ...
Dedecker, Jérôme, Gouëzel, Sébastien
core   +5 more sources

Extended Rearrangement inequalities and applications to some quantitative stability results

, 2015
In this paper, we prove a new functional inequality of Hardy-Littlewood type for generalized rearrangements of functions. We then show how this inequality provides {\em quantitative} stability results of steady states to evolution systems that ...
Lemou, Mohammed
core   +3 more sources

Moser-Trudinger inequalities for singular Liouville systems

, 2015
In this paper we prove a Moser-Trudinger inequality for the Euler-Lagrange functional of a general singular Liouville system. We characterize the values of the parameters which yield coercivity for the functional and we give necessary conditions for ...
Battaglia, Luca
core   +1 more source

Jessen's functional, its properties and applications

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
In this paper we consider Jessen's functional, defined by means of a positive isotonic linear functional, and investigate its properties. Derived results are then applied to weighted generalized power means, which yields extensions of some recent results,
Lovričević Neda, Pečarić Josip, Krnić Mario   +2 more
doaj   +1 more source

Trends in socioeconomic inequalities in the prevalence of functional dentition among older people in Brazil

Cadernos de Saúde Pública, 2018
The objective of this research was to evaluate trends in socioeconomic inequalities in the prevalence of functional dentition among community-dwelling older adults in Brazil.
Fabiola Bof de Andrade, Jose Leopoldo Ferreira Antunes   +1 more
doaj   +1 more source