Results 31 to 40 of about 1,971,703 (365)

On the Bohr inequality for the Cesáro operator

open access: yes, 2020
We investigate an analog of Bohr’s results for the Cesáro operator acting on the space of holomorphic functions defined on the unit disk. The asymptotical behaviour of the corresponding Bohr sum is also estimated. 2020 Mathematics Subject Classification.
I. Kayumov, D. Khammatova, S. Ponnusamy
semanticscholar   +1 more source

Correlation Inequalities for Schrödinger Operators [PDF]

open access: yesMathematical Physics, Analysis and Geometry, 2020
This paper analyzes Sch dinger operators from viewpoint of correlation inequalities. We construct Griffiths inequalities for the ground state expectations by applying operator-theoretic correlation inequalities. As an example of such an application, we analyze the momentum distribution, i.e., the Fourier transform of the ground state density.
openaire   +4 more sources

A Gronwall inequality for a general Caputo fractional operator [PDF]

open access: yes, 2017
In this paper we present a new type of fractional operator, which is a generalization of the Caputo and Caputo--Hadamard fractional derivative operators.
R. Almeida
semanticscholar   +1 more source

Some operator inequalities via convexity [PDF]

open access: yesLinear and Multilinear Algebra, 2021
In this article, we employ a standard convex argument to obtain new and refined inequalities related to the matrix mean of two accretive matrices, the numerical radius and the Tsallis relative operator entropy.
Hamid Reza Moradi   +2 more
openaire   +2 more sources

Modulus of convexity for operator convex functions [PDF]

open access: yes, 2014
Given an operator convex function $f(x)$, we obtain an operator-valued lower bound for $cf(x) + (1-c)f(y) - f(cx + (1-c)y)$, $c \in [0,1]$. The lower bound is expressed in terms of the matrix Bregman divergence.
Kim, Isaac H.
core   +3 more sources

$L^q$ Inequalities and Operator Preserving Inequalities

open access: yesAnalysis in Theory and Applications, 2014
Summary: Let \(\mathbb{P}_n\) be the class of polynomials of degree at most \(n\). \textit{N. A. Rather} and \textit{M. A. Shah} [J. Math. Anal. Appl. 399, No. 1, 422--432 (2013; Zbl 1259.30006)] proved that if \(P\in \mathbb{P}_n\) and \(P(z)\neq 0\) in \(|z|0\) and \(0 \leq ...
Bidkham, M., Ahmadi, S.
openaire   +1 more source

Yosida Complementarity Problem with Yosida Variational Inequality Problem and Yosida Proximal Operator Equation Involving XOR-Operation

open access: yesJournal of Mathematics, 2021
Due to the importance of Yosida approximation operator, we generalized the variational inequality problem and its equivalent problems by using Yosida approximation operator. The aim of this work is to introduce and study a Yosida complementarity problem,
Rais Ahmad   +3 more
doaj   +1 more source

Minkowski’s inequality for the AB-fractional integral operator

open access: yesJournal of Inequalities and Applications, 2019
Recently, AB-fractional calculus has been introduced by Atangana and Baleanu and attracted a large number of scientists in different scientific fields for the exploration of diverse topics.
H. Khan   +4 more
semanticscholar   +1 more source

A natural derivative on [0,n] and a binomial Poincar\'e inequality [PDF]

open access: yes, 2011
We consider probability measures supported on a finite discrete interval $[0,n]$. We introduce a new finitedifference operator $\nabla_n$, defined as a linear combination of left and right finite differences. We show that this operator $\nabla_n$ plays a
Hillion, Erwan   +2 more
core   +4 more sources

Jensen's operator inequality and its converses [PDF]

open access: yes, 2006
We give a general formulation of Jensen's operator inequality for unital fields of positive linear mappings, and we consider different types of converse inequalities.
Frank Hansen, J. Pečarić, I. Peric
semanticscholar   +1 more source

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