ON THE COMPOSITION OF THE DISTRIBUTIONS x(-1) ln(m) vertical bar x vertical bar AND x(r)


Fisher B., Ege I., ÖZÇAĞ E.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.37, sa.1, ss.1-8, 2008 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 37 Konu: 1
  • Basım Tarihi: 2008
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Sayfa Sayıları: ss.1-8

Özet

Let F be a distribution and f a locally summable function. The distribution F(f) is defined as the neutrix limit of the sequence {F-n(f)}, where F-n(x) = F(x) * delta(n)(x) and {delta(n)(x)} is a certain sequence of infinitely differentiable functions converging to the Dirac delta-function delta(x). The composition of the distributions x(-1) ln(m) vertical bar x vertical bar and x(r) is evaluated for r, m = 1, 2, 3....