About constant in Szego inequality for derivatives of conjugate trigonometric polynomials in L0.
Journal Title: Дослідження в математиці і механіці - Year 2014, Vol 19, Issue 1
Abstract
We consider Szego inequality ˜ T(r) n 0 χ0 (n, r) ・ Tn 0 for derivatives of conjugate trigonometric polynomials in L0. We’ve found exact asymptotic by n estimation of constant χ0 (n, r) in it, improving estimates which were got by V. V. Arestov and author earlier.
Authors and Affiliations
A. N. Adamov
Keywords
Related Articles
- EP ID EP415947
- DOI -
- Views 72
- Downloads 0
AN ITERATIVE ALGORITHM FOR CALCULATION OF EIGENVALUES AND EIGENFUNCTIONS OF THE STURM--LIOUVILLE PROBLEM
An iterative algorithm for computing the i-th eigenvalue (e. v.) and the corresponding eigenfunction (e. f.) of the Sturm--Liouville problem on a finite interval is proposed. The algorithm uses the well-known asymptotic...
Contact of the faces of the interfacial crack outcoming from angular point of the broken interface
The model of the interfacial crack outcoming from the angular point of the broken interface of two different homogeneous isotropic materials has been developed. The model assumes the existence of a near the tip of the cr...
Nonlinear model of frictional impact of rigid body with rigid rough plane
Dynamics of reduced to the first order chain vibratory impact system with Coulomb friction is investigated. This system is suggested as a model of phenomena that occur under oblique impact of rigid body with perfectly ri...
GENERALIZATIONS OF UNIVERSALITY FOR PERIODIC HURWITZ ZETA FUNCTIONS
It is well known that zeta-functions universal in the sense that their shifts uniformly on compact subsets of some region approximate any analytic functions form a rather wide class. In the paper, the universality for co...
On the 80th anniversary of Academician F. L. Chernousko
К 80-ЛЕТИЮ АКАДЕМИКА Ф. Л. ЧЕРНОУСЬКО