On regularity of linear summation methods of Taylor series

Abstract

The paper specifies necessary and sufficient conditions for regularity of an infinite matrix of real numbers, which determines some summation method for a class of functions that are analytic on the unit disk and continuous on the closed circle.

Key words: Summation method, infinite matrix, regularity, Taylor series.

Full Text

Article Information

Title	On regularity of linear summation methods of Taylor series
Source	Methods Funct. Anal. Topology, Vol. 21 (2015), no. 1, 56-68
MathSciNet	MR3407920
zbMATH	06533467
Milestones	Received 15/06/2013; Revised 10/11/2014
Copyright	The Author(s) 2015 (CC BY-SA)

Authors Information

M. V. Gaevskij
Kirovohrad Volodymyr Vynnychenko State Pedagogical University, Kirovohrad, Ukraine

P. V. Zaderey
Kyiv National University of Technology and Design, Kyiv, Ukraine 

Citation Example

M. V. Gaevskij and P. V. Zaderey, On regularity of linear summation methods of Taylor series, Methods Funct. Anal. Topology 21 (2015), no. 1, 56-68.

BibTex

@article {MFAT736,
    AUTHOR = {Gaevskij, M. V. and Zaderey, P. V.},
     TITLE = {On regularity of linear summation methods of Taylor series},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {21},
      YEAR = {2015},
    NUMBER = {1},
     PAGES = {56-68},
      ISSN = {1029-3531},
  MRNUMBER = {MR3407920},
 ZBLNUMBER = {06533467},
       URL = {http://mfat.imath.kiev.ua/article/?id=736},
}

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