Results 101 to 110 of about 1,569 (191)

On a Hilbert-type inequality with a hypergeometric function

, 2010
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He , Bing, Yang , Bicheng
openaire   +2 more sources

Shape Derivatives of the Eigenvalues of the de Rham Complex for Lipschitz Deformations and Variable Coefficients: Part II

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14244-14265, August 2026.
ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

A Multiple Hilbert-Type Integral Inequality with the Best Constant Factor

Journal of Inequalities and Applications, 2007
By introducing the norm ‖x‖α(x∈ℝ) and two parameters α, λ, we give a multiple Hilbert-type integral inequality with a best possible constant factor. Also its equivalent form is considered.
Baoju Sun
doaj   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14122-14148, August 2026.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

Some convexity constants related to Hlawka type inequalities in banach spaces

Journal of Inequalities and Applications, 2002
A Hlawka type inequality in a Banach space is introduced and the best constant is given for the Hilbert space case.
Takahasi Sin-El, Wada Shuhei, Takahashi Yasuji   +2 more
doaj  

Fine multidegrees, universal Gröbner bases, and matrix Schubert varieties

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We give a criterion for a collection of polynomials to be a universal Gröbner basis for an ideal in terms of the multidegree of the closure of the corresponding affine variety in (P1)N$(\mathbb {P}^1)^N$. This criterion can be used to give simple proofs of several existing results on universal Gröbner bases.
Daoji Huang, Matt Larson
wiley   +1 more source

Kato’s Type Inequalities in Terms of Moore–Penrose Inverse and Applications for Norm and Numerical Radius of Hilbert Space Operators

Axioms
This paper develops Kato-type inequalities for bounded operators on Hilbert spaces by using the Moore–Penrose inverse of closed range operators. The results extend classical forms of Kato’s inequality to products involving a closed range operator and ...
Najla Altwaijry, Silvestru Sever Dragomir   +1 more
doaj   +1 more source

Multidimensional Hilbert-Type Inequalities with a Homogeneous Kernel

Journal of Inequalities and Applications, 2009
We consider the Hilbert-type inequalities with nonconjugate parameters. The obtaining the best possible constants in the case of non-conjugate parameters remains still open. Our generalization will include a general homogeneous kernel. Also, we obtain the best possible constants in the case of conjugate parameters when the parameters satisfy ...
openaire   +5 more sources

On some Hilbert's type inequalities

Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, 2009
A generalization of the well-known Hilbert’s inequality is given. Several other results of this type in recent years follows as a special case of our result.
Marangunić, Ljubo, Pečarić, Josip
openaire   +1 more source

On a more accurate half-discrete Hardy-Hilbert-type inequality related to the kernel of arc tangent function. [PDF]

Springerplus, 2016
Chen Q, Yang B.
europepmc   +1 more source