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

Moricz, F; Orhan, C

doi:10.1556/sscmath.41.2004.4.3

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)

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.