Defining Compositions of x(mu)+, |x|(mu), x(-s), and x(-s) ln |x| as Neutrix Limit of Regular Sequences

---

Atıf İçin Kopyala

ÖZÇAĞ E., Lazarova L., Jolevska-Tuneska B.

COMMUNICATIONS IN MATHEMATICS AND STATISTICS, cilt.4, sa.1, ss.63-80, 2016 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 4 Sayı: 1
• Basım Tarihi: 2016
• Doi Numarası: 10.1007/s40304-015-0076-8
• Dergi Adı: COMMUNICATIONS IN MATHEMATICS AND STATISTICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
• Sayfa Sayıları: ss.63-80
• Hacettepe Üniversitesi Adresli: Evet

Özet

In this paper the compositions (x(+)(mu))(-s)(-)(x(+)(mu))(-s)(+), (|x| mu)(-s) (-) and (| x|(mu))(-s)(+) of distributions x(+)(mu), |x|(mu) and x(-s) are considered. They are defined via neutrix calculus for mu > 0, s = 1, 2,... and mu s epsilon Z(+). In addition, the composition of x(-s) ln|x| and x(+)(r) is also defined for r, s epsilon Z(+).