Results 11 to 20 of about 350,578 (278)

A generalization of Minkowski’s inequality by Hahn integral operator

open access: yesJournal of Taibah University for Science, 2018
In this paper, we use the Hahn integral operator for the description of new generalization of Minkowski’s inequality. The use of this integral operator definitely generalizes the classical Minkowski’s inequality.
Hasib Khan   +4 more
doaj   +2 more sources

New versions of refinements and reverses of Young-type inequalities with the Kantorovich constant

open access: yesSpecial Matrices, 2023
Recently, some Young-type inequalities have been promoted. The purpose of this article is to give further refinements and reverses to them with Kantorovich constants.
Rashid Mohammad H. M., Bani-Ahmad Feras
doaj   +1 more source

Inequalities of Ando's Type for $n$-convex Functions [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2020
By utilizing different scalar equalities obtained via Hermite's interpolating polynomial, we will obtain lower and upper bounds for the difference in Ando's inequality and in the Edmundson-Lah-Ribariv c inequality for solidarities that hold for a class ...
Rozarija Mikic, Josip Pečarić
doaj   +1 more source

Some inequalities for operator monotone functions

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2022
In this paper we show that, if that the function f : [0, ∞) → 𝔾 is operator monotone in [0, ∞) then there exist b ≥ 0 and a positive measure m on [0, ∞) such that [f(B)-f(A)](B-A)==b(B-A)2+∫0∞s2[∫01[((1-t)A+tB+s)-1(B-A)]2dt]dm(s)\matrix{ {\left[ {f ...
Dragomir Silvestru Sever
doaj   +1 more source

Norm inequalities related to the Heron and Heinz means [PDF]

open access: yes, 2017
In this article, we present several inequalities treating operator means and the Cauchy-Schwarz inequality. In particular, we present some new comparisons between operator Heron and Heinz means, several generalizations of the difference version of the ...
Conde, C.   +4 more
core   +2 more sources

INEQUALITIES CONCERNING B-OPERATORS

open access: yesIssues of Analysis, 2016
Summary: Let \(\mathcal{P}_{n}\) be the class of polynomials of degree at most \(n\). Rahman introduced the class \(\mathcal {B}_{n}\) of operators \(B\) that map \(\mathcal {P}_{n}\) into itself. In this paper we prove some results concerning such operators and thereby obtain generalizations of some well known polynomial inequalities.
WALI S.L., SHAH W.M., LIMAN A.
openaire   +3 more sources

An operator inequality

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1984
An inequality is proved in abstract separable Hilbert space H where A and B are bounded self-adjoint positive operators defined in H such that R(A)=R(B) and R(A) is closed.
P. D. Siafarikas
doaj   +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

Entropy dissipation estimates for the linear Boltzmann operator [PDF]

open access: yes, 2015
We prove a linear inequality between the entropy and entropy dissipation functionals for the linear Boltzmann operator (with a Maxwellian equilibrium background).
Bisi, Marzia   +2 more
core   +1 more source

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