%%  short-refs.tex
%%  Approximation Theory: References
%%  Neal L. Carothers
%%  Bowling Green State University
%%  Bowling Green, Ohio  43403
%%  carother@math.bgsu.edu
%%  http://www.bgsu.edu/~carother/


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\centerline{\bf A Short List of References}
\vskip-\baselineskip
\line{\pf Math 680\hfill 6/27/94}

\bigskip

\leftline{\bf Books}

\ref{Cheney, E. W.}
{Introduction to Approximation Theory}
{Chelsea, 1982}

\ref{Davis, P. J.}
{Interpolation and Approximation}
{Dover, 1975}

\ref{DeVore, R. A. and Lorentz, G. G.}
{Constructive Approximation}
{Springer-Verlag, 1993}

\ref{Jackson, D.}
{Theory of Approximation}
{AMS, 1930}

\ref{Jackson, D.}
{Fourier Series and Orthogonal Polynomials}
{MAA, 1941}

\ref{K\"orner, T. W.}
{Fourier Analysis}
{Cambridge, 1988}

\ref{Korovkin, P. P.}
{Linear Operators and Approximation Theory}
{Hindustan Publishing, 1960}

\ref{La Vall\'ee Poussin, Ch.-J. de}
{Le\c cons sur l'Approximation des Fonctions d'une Variable R\'eele}
{Gauthier-Villars, 1919}

\ref{Lorentz, G. G.}
{Bernstein Polynomials}
{Chelsea, 1986}

\ref{Lorentz, G. G.}
{Approximation of Functions}
{Chelsea, 1986}

\ref{Natanson, I.}
{Constructive Function Theory}
{3 vols., Ungar, 1964--1965}

\ref{Powell, M. J. D.}
{Approximation Theory and Methods}
{Cambridge, 1981}

\ref{Rivlin, T. J.}
{An Introduction to the Approximation of Functions}
{Dover, 1981}

\ref{Rivlin, T. J.}
{The Chebyshev Polynomials}
{Wiley, 1974}

\medskip

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\leftline{\bf Articles}

\ref{Boas, R. P.}
{Inequalities for the derivatives of polynomials}
{Mathematics Magazine}{42}{1969}{165--174}

\ref{Fisher, S.}
{Quantitative approximation theory}
{The American Mathematical Monthly}{85}{1978}{318--332}

\ref{Hedrick, E. R.}{The significance of Weierstrass's theorem}
{The American Mathematical Monthly}{20}{1927}{211--213}

\ref{Jackson, D.}{The general theory of
approximation by polynomials and trigonometric sums}
{Bulletin of the American Mathematical Society}
{27}{1920--1921}{415--431}

\ref{Lebesgue, H.}{Sur l'approximation des fonctions}
{Bulletin des Sciences Math\'ematique}{22}{1898}{278--287}

\ref{Shields, A.}{Polynomial approximation}
{The Mathematical Intelligencer}{9}{1987}{No. 3, 5--7}

\ref{Shohat, J. A.}
{On the development of functions in series of orthogonal polynomials}
{Bulletin of the American Mathematical Society}{41}{1935}{49--82}

\frenchspacing\raggedright\hangafter = 1\hangindent = 20 pt%
\pf Stone
\rm ``A generalized Weierstrass theorem,'' in 
{\it Studies in Modern Analysis}, R.\ C.\ Buck, ed., MAA, 1962.

\ref{Van Vleck, E. B.}{The influence of Fourier's series upon the 
development of mathematics}{Science}{39}{1914}{113--124}





\bye


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