Results 71 to 80 of about 478,342 (163)
Several applications of Cartwright-Field's inequality [PDF]
arXiv, 2011 In this paper we present several applications of Cartwright-Field's inequality. Among these we found Young's inequality, Bernoulli's inequality, the inequality between the weighted power means, H\"{o}lder's inequality and Cauchy's inequality. We give also two applications related to arithmetic functions and to operator inequalities.
arxiv
Hardy-type inequalities for Dunkl operators with applications to many-particle Hardy inequalities [PDF]
, 2019 In this paper we study various forms of the Hardy inequality for Dunkl operators, including the classical inequality, $L^p$ inequalities, an improved Hardy inequality, as well as the Rellich inequality and a special case of the Caffarelli-Kohn-Nirenberg inequality.
arxiv +1 more source
Journal of Function Spaces and Applications, 2013 This note concerns multiple weighted inequalities for vector-valued multilinear singular integral operator with nonsmooth kernel and its corresponding commutators containing multilinear commutator and iterated commutator generated by the vector-valued ...
Dongxiang Chen, Dan Zou, Suzhen Mao
doaj +1 more source
Logarithmic Sobolev inequalities for Dunkl operators with applications to functional inequalities for singular Boltzmann-Gibbs measures [PDF]
arXiv, 2019 In this paper we study several inequalities of log-Sobolev type for Dunkl operators. After proving an equivalent of the classical inequality for the usual Dunkl measure $\mu_k$, we also study a number of inequalities for probability measures of Boltzmann type of the form $e^{-|x|^p} d\mu_k$. These are obtained using the method of $U$-bounds. Poincar\'e
arxiv
Boundedness and compactness of a class of Hardy type operators
Journal of Inequalities and Applications, 2016 We establish characterizations of both boundedness and of compactness of a general class of fractional integral operators involving the Riemann-Liouville, Hadamard, and Erdelyi-Kober operators. In particular, these results imply new results in the theory
Akbota M Abylayeva +2 more
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Weak Type Inequalities for Some Integral Operators on Generalized Nonhomogeneous Morrey Spaces
Journal of Function Spaces and Applications, 2013 We prove weak type inequalities for some integral operators, especially generalized fractional integral operators, on generalized Morrey spaces of nonhomogeneous type.
Hendra Gunawan +3 more
doaj +1 more source
Some generalized Riemann-Liouville k-fractional integral inequalities
Journal of Inequalities and Applications, 2016 The focus of the present study is to prove some new Pólya-Szegö type integral inequalities involving the generalized Riemann-Liouville k-fractional integral operator.
Praveen Agarwal +2 more
doaj +1 more source
Operator inequalities associated with Hölder–McCarthy and Kantorovich inequalities
Journal of Inequalities and Applications, 1998 We discuss operator inequalities associated with Hölder–McCarthy and Kantorovich inequalities. We give a complementary inequality of Hölder–McCarthy one as an extension of [2] and also we give an application to the order preserving
Furuta Takayuki
doaj
Poincaré Inequalities for Composition Operators with Lφ-Norm
Abstract and Applied Analysis, 2014 We establish the Poincaré-type inequalities for the composition of the homotopy operator, exterior derivative operator, and the projection operator with Lφ-norm applied to the nonhomogeneous A-harmonic equation in Lφ(Ω)-averaging domains.
Ru Fang
doaj +1 more source
On several new results related to Richard's inequality [PDF]
arXivThe main study of this article is the characterization of Richard's inequality, because it is closely related to Buzano's inequality. Finally, we present a newapproach for Richard's inequality, where we use the Selberg operator.
arxiv