L p -approximation of generalized biaxially symmetric potentials over Carathéodory domains

Harvir S. Kasana; Devendra Kumar

Mathematica Slovaca (2005)

  • Volume: 55, Issue: 5, page 563-572
  • ISSN: 0139-9918

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Kasana, Harvir S., and Kumar, Devendra. "$L^p$-approximation of generalized biaxially symmetric potentials over Carathéodory domains." Mathematica Slovaca 55.5 (2005): 563-572. <http://eudml.org/doc/32395>.

@article{Kasana2005,
author = {Kasana, Harvir S., Kumar, Devendra},
journal = {Mathematica Slovaca},
keywords = {generalized biaxially symmetric potential; -norm; approximation error; generalized growth parameter; Fourier coefficient},
language = {eng},
number = {5},
pages = {563-572},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {$L^p$-approximation of generalized biaxially symmetric potentials over Carathéodory domains},
url = {http://eudml.org/doc/32395},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Kasana, Harvir S.
AU - Kumar, Devendra
TI - $L^p$-approximation of generalized biaxially symmetric potentials over Carathéodory domains
JO - Mathematica Slovaca
PY - 2005
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 55
IS - 5
SP - 563
EP - 572
LA - eng
KW - generalized biaxially symmetric potential; -norm; approximation error; generalized growth parameter; Fourier coefficient
UR - http://eudml.org/doc/32395
ER -

References

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  2. BERNSTEIN S. N., Lecons sur les Properties Extremales et la Meilleure Approximation des Fonctions Analytiques d'une Variable Reele, Gauthier-Villars, Paris, 1926. (1926) 
  3. GILBERT R. P., Function Theoretic Methods in Partial Differential Equations, Math. Sci. Engrg. 54, Academic Press, New York, 1969. (1969) Zbl0187.35303MR0241789
  4. GILBERT R. P.-NEWTON R. G., Analytic Methods in Mathematical Physics, Gordon and Breach Sci. Publ., New York, 1970. (1970) Zbl0194.29903MR0327404
  5. KAPOOR G. P.-NAUTIYAL A., Polynomial approximation of an entire function of slow growth, J. Approx. Theory 32 (1981), 64-75. (1981) Zbl0495.41005MR0629582
  6. KASANA H. S.-KUMAR D., On approximation and interpolation of entire functions with index-pair ( p , q ) , Publ. Mat. 38 (1994), 255 267. (1994) Zbl0831.30023MR1316627
  7. KUMAR D.-KASANA H. S., On approximation of entire functions over Carathedory domains, Comment. Math. Univ. Carolin. 35 (1994), 681-689. (1994) MR1321238
  8. MARKUSHEVIC A. I., Theory of Functions of a Complex Variables, Prentice Hall, Inc. Englewood Cliffs, NJ, 1967. (1967) MR0215964
  9. MCCOY P. A., Polynomial approximation of generalized biaxisymmetric potentials, J. Approx. Theory 25 (1979), 153-168. (1979) Zbl0462.41002MR0531104
  10. MCCOY P. A., Best L p -approximation of generalized biaxisymmetric potentials, Proc. Amer. Math. Soc. 79 (1980), 435-440. (1980) MR0567987
  11. SMIRNOV V. I.-LEBEDEV N. A., Functions of a Complex Variable: Constructive Function Theory, MIT Press, Mass USA, 1968. (1968) MR0229803
  12. SZEGÖ G., Orthogonal Polynomials, Amer. Math. Soc. Colloq. Publ. 22, Amer. Math. Soc, Providence, RI, 1967. (1967) 
  13. WINIARSKI T. N., Approximation and interpolation of entire functions, Ann. Polon. Math. 23 (1970), 259-273. (1970) Zbl0205.37905MR0273032

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