Rational Chebyshev approximation to certain entire functions of zero order on the positive real axis. II
HTML articles powered by AMS MathViewer
- by A. R. Reddy PDF
- Proc. Amer. Math. Soc. 54 (1976), 251-254 Request permission
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
- 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 $[\ast \ast \ast w(\ast \ast 0,\,+\infty )\ast \ast \ast w\ast \ast$, Trans. Amer. Math. Soc. 170 (1972), 171–185. MR 310505, DOI 10.1090/S0002-9947-1972-0310505-7
- A. R. Reddy, On entire Dirichlet series of zero order, Tohoku Math. J. (2) 18 (1966), 144–155. MR 214765, DOI 10.2748/tmj/1178243445
Additional Information
- © Copyright 1976 American Mathematical Society
- 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