Local property of absolute weighted mean summability of Fourier series

Rhoades B., SAVAŞ E.

Applied Mathematics and Computation, cilt.153, sa.2, ss.445-452, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 153 Sayı: 2
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/s0096-3003(03)00644-1
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.445-452
  • Anahtar Kelimeler: Absolute summability, Local property, Summability factors, Weighted mean
  • Uşak Üniversitesi Adresli: Evet

Özet

A theorem on a local property of absolute weighted mean summability of factored Fourier series and a summability factor theorem for Fourier series was obtained. It was assumed that the constant term in the Fourier series representation for f is zero. It was observed that the convergence of the Fourier series of f at t=x is a local property of f. It was shown that the summability of the Fourier series at t=x by any regular summability method is also a local property of f.