Results 51 to 60 of about 478,342 (163)
Optimal Hardy inequalities associated with multipolar Schrödinger operators [PDF]
arXiv, 2021 We proved some optimal Hardy inequalities in RNwhich is closely related to multipolar Schr\"odinger operators with mean-value type potentials, these sharp inequalities imply some multipolar type Heisenberg inequalities. We also obtained someimproved multipolar Hardy inequalities on bounded domains, moreover, we got the range of the best Hardy constant ...
arxiv
Journal of Mathematics, 2022 In this paper, we introduce a new derivative operator involving q-Al-Oboudi differential operator for meromorphic functions. By using this new operator, we define a new subclass of meromorphic functions and obtain the Fekete–Szegő inequalities.
M.K. Aouf, Fatma Z. El-Emam
doaj +1 more source
Lieb-Thirring inequalities and other functional inequalities for orthonormal systems [PDF]
arXiv, 2021 We review recent results on functional inequalities for systems of orthonormal functions. The key finding is that for various operators the orthonormality leads to a gain over a simple application of the triangle inequality. The operators under consideration are either related to Sobolev type inequalities or to Fourier restriction type inequalities.
arxiv
Power vector inequalities for operator pairs in Hilbert spaces and their applications
Open MathematicsThis study explores the power vector inequalities for a pair of operators (B,C)\left(B,C) in a Hilbert space. By utilizing a Mitrinović-Pečarić-Fink-type inequality for inner products and norms, we derive various power vector inequalities.
Altwaijry Najla +2 more
doaj +1 more source
Antieigenvalue inequalities in operator theory
International Journal of Mathematics and Mathematical Sciences, 2004 We will prove some inequalities among trigonometric quantities of two and three operators. In particular, we will establish an inequality among joint trigonometric quantities of two operators and trigonometric quantities of each operator. As a corollary,
Morteza Seddighin
doaj +1 more source
The Hadamard Determinant Inequality - Extensions to Operators on a Hilbert Space
, 2017 A generalization of classical determinant inequalities like Hadamard's inequality and Fischer's inequality is studied. For a version of the inequalities originally proved by Arveson for positive operators in von Neumann algebras with a tracial state, we ...
Nayak, Soumyashant
core +1 more source
Operator inequalities of Jensen type
Topological Algebra and its Applications, 2013 We present some generalized Jensen type operator inequalities involving sequences of self-adjoint operators.
Moslehian M. S., Mićić J., Kian M.
doaj +1 more source
On The Babenko-Bechner-Type Inequality associated with the Weinstein Operator [PDF]
arXiv, 2022 In this paper, we study the Babenko-Bechner-type inequality for the Fourier Weinstein transform associated with the Weinstein operator. We use this inequality to establish a new version of Young's type inequality.
arxiv
Inequalities for quantum skew information
, 2008 We study quantum information inequalities and show that the basic inequality between the quantum variance and the metric adjusted skew information generates all the multi-operator matrix inequalities or Robertson type determinant inequalities studied by ...
A. Andai +17 more
core +1 more source
Grand Fujii-Fujii-Nakamoto operator inequality dealing with operator order and operator chaotic order [PDF]
arXiv, 2017 In this paper, we shall prove that a grand Fujii-Fujii-Nakamoto operator inequality implies operator order and operator chaotic order under different conditions.
arxiv