Multi-dimensional discrete summability

Ferenc Schipp, F. Weisz

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

A discrete version of the θ-summability is introduced for higher dimensions. It is proved that the discrete θ-means of a continuous function converge uniformly to the function. Moreover, the multi-dimensional Jackson polynomials converge uniformly to the continuous function. All rights reserved

Original languageEnglish
Pages (from-to)219-231
Number of pages13
JournalActa Scientiarum Mathematicarum
Volume75
Issue number1-2
Publication statusPublished - 2009

Fingerprint

Summability
Continuous Function
Converge
Higher Dimensions
Polynomial
Polynomials

Keywords

  • Discrete θ-summability
  • Fejér summability
  • Hermite interpolation
  • Herz spaces
  • Jackson polynomials
  • Wiener amalgam spaces

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Multi-dimensional discrete summability. / Schipp, Ferenc; Weisz, F.

In: Acta Scientiarum Mathematicarum, Vol. 75, No. 1-2, 2009, p. 219-231.

Research output: Contribution to journalArticle

Schipp, Ferenc ; Weisz, F. / Multi-dimensional discrete summability. In: Acta Scientiarum Mathematicarum. 2009 ; Vol. 75, No. 1-2. pp. 219-231.
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