On degree of approximation of the Gauss-Weierstrass means for smooth L-p(R-n) functions

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Eryigit M.

JOURNAL OF INEQUALITIES AND APPLICATIONS, cilt.2013, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2013
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1186/1029-242x-2013-428
  • Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Gauss-Weierstrass integral, Gauss-Weierstrass means, approximation, inverse Fourier transform, maximal function, SUMMABILITY, INTEGRALS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

The notion of mu-smooth point of an L-p(R-n)-function f is introduced in terms of some 'maximal function.' Then the connection between the order of mu-smoothness of the function f and the rate of convergence of the Gauss-Weierstrass means to f, when epsilon tends to 0, is obtained.