Some results concerning the summability of spliced sequences

YURDAKADİM T., ÜNVER M.

TURKISH JOURNAL OF MATHEMATICS, cilt.40, sa.5, ss.1134-1143, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 5
  • Basım Tarihi: 2016
  • Doi Numarası: 10.3906/mat-1508-34
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1134-1143
  • Anahtar Kelimeler: Matrix summability, spliced sequences, A-density, core of a sequence
  • Ankara Üniversitesi Adresli: Evet

Özet

A spliced sequence is formed by combining all of the terms of two or more convergent sequences, in their original order, into a new spliced sequence. In this paper replacing convergent sequences by bounded sequences, we study the summability of spliced sequences and give some inequalities that provide us with approximation of the core of transformation of these sequences by a summability matrix. We also present some further results via the Lebesgue integral.