| Title | QUANTITATIVE ESTIMATES IN THE OVERCONVERGENCE OF SOME SINGULAR INTEGRALS |
| Publication Type | Journal Article |
| Year of Publication | 2010 |
| Authors | Anastassiou, GA, GAL, SORING |
| Secondary Title | Communications in Applied Analysis |
| Volume | 14 |
| Issue | 1 |
| Start Page | 13 |
| Pagination | 20 |
| Date Published | 01/2010 |
| Type of Work | scientific: mathematics |
| ISSN | 1083–2564 |
| AMS | 32E30, 41A25., 41A35 |
| Abstract | In this paper we obtain quantitative estimates in the overconvergence phenomenon for the classical singular integrals of Gauss-Weierstrass, Poisson-Cauchy and Picard.
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| URL | http://www.acadsol.eu/en/articles/14/1/2.pdf |
| Short Title | OVERCONVERGENCE OF SOME SINGULAR INTEGRALS |
| Refereed Designation | Refereed |
| Full Text | REFERENCES[1] G. A. Anastassiou and S. G. Gal, Geometric and approximation properties of some singular integrals in the unit disk, J. Ineq. Appl., vol. 2006, Article ID 17231, 19 pages.
[2] S. G. Gal, Degree of approximation of continuous functions by some singular integrals, Revue D’Analyse Numer. Theor. Approx. (Cluj), 37 (1998), 251–261. [3] M. Gorzenska and L. Rempulska, On the limit properties of the Picard singular integrals, Publ. Inst. Math. (Beograd), Nouvelle s ́eries, 55(69) (1994), 39–46. [4] A. Lesniewicz, L. Rempulska and J. Wasiak, Approximation properties of the Picard singular integrals in exponential weighted spaces, Publ. Matem. (Barcelona), 40 (1996), No. 2, 233–242. |