Tauberian conditions under which statistical convergence follows from statistical summability by weighted means

Moricz F., Orhan C.

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, cilt.41, sa.4, ss.391-403, 2004 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 4
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1556/sscmath.41.2004.4.3
  • Dergi Adı: STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.391-403
  • Anahtar Kelimeler: statistical convergence, statistical summability (N,p), statistical limit inferior, statistical limit superior, one-sided and two-sided Tauberian conditions, slow decrease, slow oscillation
  • Ankara Üniversitesi Adresli: Hayır

Özet

The first named author has recently proved necessary and sufficient Tauberian conditions under which statistical convergence (introduced by H. Fast in 1951) follows from statistical summability (C, 1). The aim of the present paper is to generalize these results to a large class of summability methods (N,p) by weighted means.