Lacunary statistical convergence of difference sequences of fractional order
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
The idea of statistical convergence was given by Zygmund [1] in the first edition of his monograph published in Warsaw in 1935. Over the years and under different names statistical convergence was discussed in the theory of Fourier analysis, Ergodic theory, Number theory, Measure theory, Trigonometric series, Turnpike theory and Banach spaces. In this study we introduce the concepts of ??- lacunary statistical convergence with the fractional order of ?, ? ? R and ??- lacunary strongly convergence with the fractional order of ?, ? ? R, and examine some properties of these sequence spaces. We also establish some connections between ??- lacunary strongly convergence of fractional order of ? and ?? -lacunary statistical convergence of fractional order of ?
Açıklama
Anahtar Kelimeler
Difference sequence, Statistical convergence, Lacunary sequence
Kaynak
International Conference of Mathematical Sciences (ICMS 2019)
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Aral, N. D. ve Et, M. (2019). Lacunary statistical convergence of difference sequences of fractional order. International Conference of Mathematical Sciences (ICMS 2019). s. 81.