On a rate of convergence of truncated hypersingular integrals associated to Riesz and Bessel potentials

Aliev I. A., ERYİĞİT M.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.406, sa.1, ss.352-359, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 406 Sayı: 1
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1016/j.jmaa.2013.04.078
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.352-359
  • Anahtar Kelimeler: Riesz potentials, Bessel potentials, Truncated hypersingular integrals, Modulus of continuity, Rate of convergence, Gauss-Weierstrass semigroup, SPACES, AID
  • Akdeniz Üniversitesi Adresli: Evet

Özet

The notion of a mu-smooth point of a L-p-function phi and a family of truncated hypersingular integrals depending on a parameter epsilon are introduced. Then the connection between the order of mu-smoothness of the function phi and the rate of convergence of the family of truncated hypersingular integrals to phi, when epsilon tends to 0, is obtained. (C) 2013 Elsevier Inc. All rights reserved.