On the rate of L-p-convergence of Balakrishnan Rubin-type hypersingular integrals associated to the Gauss-Weierstrass semigroup

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ERYİĞİT M., Çobanoğlu S.

TURKISH JOURNAL OF MATHEMATICS, cilt.41, sa.6, ss.1376-1384, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 6
  • Basım Tarihi: 2017
  • Doi Numarası: 10.3906/mat-1610-105
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1376-1384
  • Anahtar Kelimeler: Riesz potentials, Bessel potentials, truncated hypersingular integrals, rate of convergence, Gauss-Weierstrass semigroup, BESSEL POTENTIALS, SINGULAR-INTEGRALS, INVERSION, SPACES, AID, TRANSFORMS, RIESZ
  • Akdeniz Üniversitesi Adresli: Evet

Özet

We introduce a family of Balakrishnan Rubin-type hypersingular integrals depending on a parameter epsilon and generated by the Gauss-Weierstrass semigroup. Then the connection between the order of L-p-smoothness of a L-p-function phi and the rate of L-p-convergence of these families to phi, as epsilon tends to 0, is obtained.