On Asymptotically I-lacunary Statistical Equivalent Functions of Order α

Savaş R. , Sezer S. A.

Konuralp Journal of Mathematics, cilt.7, ss.470-474, 2019 (Hakemli Üniversite Dergisi)

  • Cilt numarası: 7 Konu: 2
  • Basım Tarihi: 2019
  • Dergi Adı: Konuralp Journal of Mathematics
  • Sayfa Sayısı: ss.470-474


The aim of this paper is to provide a new approach to some well known summability methods. We first define asymptotically I-statistical equivalent functions of order α, asymptotically Iθ -statistical equivalent functions of order α and strongly I-lacunary equivalent functions of order α by taking two nonnegative real-valued Lebesgue measurable functions x(t) and y(t) in the interval (1,∞) instead of sequences and later we investigate their relationship.