On approximation properties of bi-parametric parabolic type potentials
Publicationes Mathematicae, cilt.78, sa.1, ss.127-139, 2011 (SCI-Expanded)
- 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.