Lacunary statistical convergence of difference sequences of fractional order

Küçük Resim Yok

Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Maltepe Üniversitesi

Erişim Hakkı

CC0 1.0 Universal
info:eu-repo/semantics/openAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

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.