Results 61 to 70 of about 349,949 (184)

Generalized Gram–Hadamard inequality [PDF]

, 2010
We generalize the classical Gram determinant inequality. Our generalization follows from the boundedness of the antisymmetric tensor product operator.
Constantinescu, Florin (Prof. Dr.), Scharf, Günter   +1 more
core  

Radial fractional Laplace operators and Hessian inequalities

, 2012
In this paper we deduce a formula for the fractional Laplace operator $(-\Delta)^{s}$ on radially symmetric functions useful for some applications. We give a criterion of subharmonicity associated with $(-\Delta)^{s}$, and apply it to a problem related
Ferrari, Fausto, Verbitsky, Igor E.
core   +1 more source

Strong Converse Inequality for a Spherical Operator

Journal of Inequalities and Applications, 2011
In the paper titled as "Jackson-type inequality on the sphere" (2004), Ditzian introduced a spherical nonconvolution operator , which played an important role in the proof of the well-known Jackson inequality for spherical harmonics.
Feilong Cao, Shaobo Lin
doaj   +2 more sources

A characterization of operator order via grand Furuta

Journal of Inequalities and Applications, 2001
As an application of the grand Furuta inequality, we shall show a characterization of usual order associated with operator equation and a Kantorovich type order preserving operator inequality by using essentially the same idea of [9].
seo Yuki
doaj  

Operator Arithmetic-Harmonic Mean Inequality on Krein Spaces

Journal of Mathematical Extension, 2014
We prove an operator arithmetic-harmonic mean type inequality in Krein space setting, by using some block matrix techniques of indefinite type. We also give an example which shows that the operator arithmetic-geometric-harmonic mean inequality for two
M. Dehghani, S. M. S. Modarres Mosadegh
doaj  

Integral inequalities via fractional quantum calculus

Journal of Inequalities and Applications, 2016
In this paper we prove several fractional quantum integral inequalities for the new q-shifting operator Φ q a ( m ) = q m + ( 1 − q ) a ${_{a}}\Phi_{q}(m) = qm + (1-q)a$ introduced in Tariboon et al. (Adv. Differ. Equ.
Weerawat Sudsutad, Sotiris K Ntouyas, Jessada Tariboon   +2 more
doaj   +1 more source

Selberg’s Inequality and Selberg Operator Bounds in Hilbert Spaces with Applications

Axioms
In the present work, we give a new proof of the well-known Selberg’s inequality in complex Hilbert spaces from an operator-theoretic perspective, establishing its fundamental equivalence with the Cauchy–Bunyakovsky–Schwarz inequality.
Salma Aljawi, Cristian Conde, Silvestru Sever Dragomir, Kais Feki   +3 more
doaj   +1 more source

Some Operator Inequalities on Chaotic Order and Monotonicity of Related Operator Function

Abstract and Applied Analysis, 2013
We will discuss some operator inequalities on chaotic order about several operators, which are generalization of Furuta inequality and show monotonicity of related Furuta type operator function.
Changsen Yang, Yanmin Liu
doaj   +1 more source

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-classes over the infinite interval, what can be said about the L-classes of other functionals? Utilizing a simple device from the theory of linear differential equations, we obtain a number of results due to Landau,
openaire   +1 more source

Positivity, Betweenness, and Strictness of Operator Means

Abstract and Applied Analysis, 2015
An operator mean is a binary operation assigned to each pair of positive operators satisfying monotonicity, continuity from above, the transformer inequality, and the fixed-point property.
Pattrawut Chansangiam
doaj   +1 more source