| Title:
|
$L^p$-approximation of generalized biaxially symmetric potentials over Carathéodory domains (English) |
| Author:
|
Kasana, Harvir S. |
| Author:
|
Kumar, Devendra |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
55 |
| Issue:
|
5 |
| Year:
|
2005 |
| Pages:
|
563-572 |
| . |
| Category:
|
math |
| . |
| MSC:
|
30E10 |
| MSC:
|
31A15 |
| MSC:
|
35J15 |
| MSC:
|
41A80 |
| idZBL:
|
Zbl 1150.41357 |
| idMR:
|
MR2200142 |
| . |
| Date available:
|
2009-09-25T14:28:59Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133146 |
| . |
| Reference:
|
[1] ASKEY R.: Orthogonal Polynomials and Special Functions.Regional Conf. Ser. in Appl. Math., SIAM, Philadelphia, PA, 1975. MR 0481145 |
| Reference:
|
[2] BERNSTEIN S. N.: Lecons sur les Properties Extremales et la Meilleure Approximation des Fonctions Analytiques d'une Variable Reele.Gauthier-Villars, Paris, 1926. |
| Reference:
|
[3] GILBERT R. P.: Function Theoretic Methods in Partial Differential Equations.Math. Sci. Engrg. 54, Academic Press, New York, 1969. Zbl 0187.35303, MR 0241789 |
| Reference:
|
[4] GILBERT R. P.-NEWTON R. G.: Analytic Methods in Mathematical Physics.Gordon and Breach Sci. Publ., New York, 1970. Zbl 0194.29903, MR 0327404 |
| Reference:
|
[5] KAPOOR G. P.-NAUTIYAL A.: Polynomial approximation of an entire function of slow growth.J. Approx. Theory 32 (1981), 64-75. Zbl 0495.41005, MR 0629582 |
| Reference:
|
[6] KASANA H. S.-KUMAR D.: On approximation and interpolation of entire functions with index-pair $(p,q)$.Publ. Mat. 38 (1994), 255 267. Zbl 0831.30023, MR 1316627 |
| Reference:
|
[7] KUMAR D.-KASANA H. S.: On approximation of entire functions over Carathedory domains.Comment. Math. Univ. Carolin. 35 (1994), 681-689. MR 1321238 |
| Reference:
|
[8] MARKUSHEVIC A. I.: Theory of Functions of a Complex Variables.Prentice Hall, Inc. Englewood Cliffs, NJ, 1967. MR 0215964 |
| Reference:
|
[9] MCCOY P. A.: Polynomial approximation of generalized biaxisymmetric potentials.J. Approx. Theory 25 (1979), 153-168. Zbl 0462.41002, MR 0531104 |
| Reference:
|
[10] MCCOY P. A.: Best $L^p$-approximation of generalized biaxisymmetric potentials.Proc. Amer. Math. Soc. 79 (1980), 435-440. MR 0567987 |
| Reference:
|
[11] SMIRNOV V. I.-LEBEDEV N. A.: Functions of a Complex Variable: Constructive Function Theory.MIT Press, Mass USA, 1968. MR 0229803 |
| Reference:
|
[12] SZEGÖ G.: Orthogonal Polynomials.Amer. Math. Soc. Colloq. Publ. 22, Amer. Math. Soc, Providence, RI, 1967. |
| Reference:
|
[13] WINIARSKI T. N.: Approximation and interpolation of entire functions.Ann. Polon. Math. 23 (1970), 259-273. Zbl 0205.37905, MR 0273032 |
| . |
