ON THE MATRIX NORMS OF A GCD RELATED MATRIX

Creative Commons License

Altinisik E.

MATHEMATICAL INEQUALITIES & APPLICATIONS, cilt.11, sa.4, ss.635-646, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 4
  • Basım Tarihi: 2008
  • Doi Numarası: 10.7153/mia-11-53
  • Dergi Adı: MATHEMATICAL INEQUALITIES & APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.635-646
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper we investigate the matrix norms of a GCD related matrix, i.e., (S-f) = (f (i,j)/(i(r)j(r))) for multiplicative arithmetical functions f. In particular, we obtain upper bounds for the lp norms of (S-f) for f = phi, sigma alpha and psi in terms of infinite prime products. Furthermore, we give lower and upper bounds for these infinite prime products by using particular norm inequalities.