Open Access

The inner structure of the Jacobi-Laurent matrix related to the strong Hamburger moment problem


Abstract

The form of the Jacobi type matrix related to the strong Hamburger moment problem is known \cite{N5,BD}, i.e., there are known the zero elements of corresponding matrix. We describe the relations between of non-zero elements of such matrices, i.e., we describe ''the inner structure'' of the Jacobi-Laurent matrices related to the strong Hamburger moment problem.

Key words: Hamburger strong moment problems, block three-diagonal matrix.


Full Text





Article Information

TitleThe inner structure of the Jacobi-Laurent matrix related to the strong Hamburger moment problem
SourceMethods Funct. Anal. Topology, Vol. 19 (2013), no. 2, 97-107
MathSciNet MR3098490
zbMATH 1289.47029
MilestonesReceived 12/11/2012; Revised 05/03/2013
CopyrightThe Author(s) 2013 (CC BY-SA)

Authors Information

Mykola E. Dudkin
National Technical University of Ukraine (KPI), 37 Peremogy Av., Kyiv, 03056, Ukraine 


Google Scholar Metrics

Citing articles in Google Scholar
Similar articles in Google Scholar

Export article

Save to Mendeley



Citation Example

Mykola E. Dudkin, The inner structure of the Jacobi-Laurent matrix related to the strong Hamburger moment problem, Methods Funct. Anal. Topology 19 (2013), no. 2, 97-107.


BibTex

@article {MFAT668,
    AUTHOR = {Dudkin, Mykola E.},
     TITLE = {The inner structure of the Jacobi-Laurent matrix related to the strong Hamburger moment problem},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {19},
      YEAR = {2013},
    NUMBER = {2},
     PAGES = {97-107},
      ISSN = {1029-3531},
  MRNUMBER = {MR3098490},
 ZBLNUMBER = {1289.47029},
       URL = {http://mfat.imath.kiev.ua/article/?id=668},
}


All Issues