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Analysis and Geometry in Metric Spaces, 2020 The aim of this paper is to prove the weak type vector-valued inequality for the modified Hardy– Littlewood maximal operator for general Radon measure on ℝn. Earlier, the strong type vector-valued inequality for the same operator and the weak type vector-
Sawano Yoshihiro
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Meda Inequality for Rearrangements of the Convolution on the Heisenberg Group and Some Applications
Journal of Inequalities and Applications, 2009 The Meda inequality for rearrangements of the convolution operator on the Heisenberg group ℍn is proved. By using the Meda inequality, an O'Neil-type inequality for the convolution is obtained. As applications of these results, some sufficient
V. S. Guliyev +3 more
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New versions of refinements and reverses of Young-type inequalities with the Kantorovich constant
Special 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
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Inequalities of Ando's Type for $n$-convex Functions [PDF]
Sahand 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
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Some inequalities for operator monotone functions
Annals 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
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On Inequalities for Differential Operators [PDF]
Proceedings of the American Mathematical Society, 1958 In this paper we study the following problem: Given that certain functionals of u u and its derivatives belong to given L ...
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International 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
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An operator inequality related to Jensen’s inequality [PDF]
Proceedings of the American Mathematical Society, 2001 For bounded non-negative operators A A and
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INEQUALITIES CONCERNING B-OPERATORS
Issues 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.
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Algebraic reflexivity of isometry groups and automorphism groups of some operator structures [PDF]
, 2013 We establish the algebraic re exivity of three isometry groups of operator structures: The group of all surjective isometries on the unitary group, the group of all surjective isometries on the set of all positive invertible operators equipped with ...
Botelho, Fernanda +2 more
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