Lacunary statistical and sliding window convergence for measurable functions

Connor J., Savaş E.

Acta Mathematica Hungarica, cilt.145, sa.2, ss.416-432, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 145 Sayı: 2
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s10474-015-0481-1
  • Dergi Adı: Acta Mathematica Hungarica
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.416-432
  • Anahtar Kelimeler: Cauchy criteria, lacunary statistical convergence, measurable functions, sliding window method, statistical convergence
  • Uşak Üniversitesi Adresli: Hayır

Özet

A class of summability methods, called sliding window methods, for measurable real valued functions defined on [0, ∞) is introduced. These methods are based on the methods of statistical convergence and lacunary statistical summability for sequences. Analogs of inclusion and consistency theorems for the sequential methods are established, along with examples, and a Cauchy criteria is given.