Convergence of measurable functions in the sense of density
[ X ]
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springernature
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, by using unbounded modulus function the notion mu(f)-density for measurable subsets of I = [1, infinity] is defined and related notion mu f-statistical convergence of measurable functions is investigated. In addition to the basic properties of mu(f)-density and mu(f)-statistical convergence, the definition of being mu(f)-Cauchy is given and it is shown that these two concepts are equivalent for real valued measurable functions. Among others, the notion of f-strongly Cesaro summability is introduced. Finally, necessary and sufficient conditions between f-strongly Cesaro summability and mu(f)-statistical convergence are given under explicated restrictions on measurable function and modulus function.
Açıklama
Anahtar Kelimeler
Convergence, Statistical convergence, Measurable functions, Modulus function
Kaynak
Journal of Analysis
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
31
Sayı
2
