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Rational Chebyshev approximation to certain entire functions of zero order on the positive real axis. II


Author: A. R. Reddy
Journal: Proc. Amer. Math. Soc. 54 (1976), 251-254
MSC: Primary 30A82
DOI: https://doi.org/10.1090/S0002-9939-1976-0430260-9
MathSciNet review: 0430260
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Abstract: A sufficient condition is given on the growth of certain entire functions which guarantee a certain rate of convergence of the error in approximating reciprocals of a class of entire functions by reciprocals of polynomials under the uniform norm on the positive real axis.


References [Enhancements On Off] (What's this?)

  • [1] G. Meinardus, A. R. Reddy, G. D. Taylor and R. S. Varga, Converse theorems and extensions in Chebyshev rational approximation to certain entire functions in $ [0, + \infty )$, Trans. Amer. Math. Soc. 170 (1972), 171-185. MR 46 #9603. MR 0310505 (46:9603)
  • [2] A. R. Reddy, On entire Dirichlet series of zero order, Tôhoku Math. J. (2) 18 (1966), 144-155. MR 35 #5614. MR 0214765 (35:5614)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0430260-9
Keywords: Rational approximation, zero order, positive real axis
Article copyright: © Copyright 1976 American Mathematical Society

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