On approximation properties of bi-parametric parabolic type potentials

Bayrakçı S., Sezer S.

Publicationes Mathematicae, cilt.78, sa.1, ss.127-139, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 78 Sayı: 1
  • Basım Tarihi: 2011
  • Doi Numarası: 10.5486/pmd.2011.4651
  • Dergi Adı: Publicationes Mathematicae
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.127-139
  • Anahtar Kelimeler: approximation, parabolic potentials, Lipschitz class, modulus of continuity, WAVELET TRANSFORMS, LEBESGUE SPACES
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper we investigate the approximation properties of bi-paramet- ric parabolic potentials type operators Aβαf and Aβαf as the parameter α > 0 tends to zero. For β = 2 these potentials coincide with the classical Jones-Sampson type parabolic potentials Hα and H α f, respectively.