TAUBERIAN THEOREMS FOR THE PRODUCT OF BOREL AND LOGARITHMIC METHODS OF SUMMABILITY


SEZER S. A.

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, cilt.9, ss.165-171, 2019 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 9 Konu: 1
  • Basım Tarihi: 2019
  • Dergi Adı: TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS
  • Sayfa Sayıları: ss.165-171

Özet

In this paper, we show that if a sequence is summable by the product method (B)(l, k), then it is also summable by the logarithmic method (l, k), provided two-sided conditions of Hardy-type are satisfied. We also obtain some classical Tauberian theorems and their generalizations as special cases of our main theorems.