On the Gauss-Weierstrass Summability of Multiple Trigonometric Series at mu-smoothness Points

Sezer S., Aliev I. A.

ACTA MATHEMATICA SINICA-ENGLISH SERIES, vol.27, no.4, pp.741-746, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 27 Issue: 4
  • Publication Date: 2011
  • Doi Number: 10.1007/s10114-011-9399-x
  • Journal Name: ACTA MATHEMATICA SINICA-ENGLISH SERIES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.741-746
  • Keywords: Multiple Fourier series, Fourier transform, Gauss-Weierstrass summability, modulus of continuity, INTEGRALS
  • Akdeniz University Affiliated: Yes

Abstract

The notion of mu-smoothness points of periodic functions of several variables is introduced and the rate of convergence of the Gauss-Weierstrass means of relevant Fourier series at these points is investigated.

The notion of mu-smoothness points of periodic functions of several variables is introduced and the rate of convergence of the Gauss-Weierstrass means of relevant Fourier series at these points is investigated.