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

Sezer S., Aliev I. A.

ACTA MATHEMATICA SINICA-ENGLISH SERIES, cilt.27, sa.4, ss.741-746, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 4
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1007/s10114-011-9399-x
  • Dergi Adı: ACTA MATHEMATICA SINICA-ENGLISH SERIES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.741-746
  • Anahtar Kelimeler: Multiple Fourier series, Fourier transform, Gauss-Weierstrass summability, modulus of continuity, INTEGRALS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.