| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4608437 | Journal of Approximation Theory | 2006 | 12 Pages |
Abstract
We introduce the family of linear operatorsAαfx=1Γα∫0∞tα-1Stfxdt,α>0associated to a certain “admissible bunch” of operators StSt, t>0t>0, acting on Lp(Rn,dmLp(Rn,dm, and investigate the approximation properties of this family as α→0+α→0+. We give some applications to the Riesz and the Bessel potentials generated by the ordinary (Euclidean) and generalized translations.
Keywords
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ilham A. Aliev, A.D. Gadjiev, A. Aral,