Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
D. A. Ault, F. R. Deutsch, P. D. Morris and J. E. Olson, Interpolating subspaces in approximation theory, J. Approx. Theory 3(1970), 164–182.
M. W. Bartelt, Weak Chebyshev sets and splines, J. Approx. Theory 14(1975), 30–37.
J. Blatter, P. D. Morris and D. E. Wulbert, Continuity of the set-valued metric projection, Math. Ann. 178 (1968), 12–24.
E. W. Cheney, Introduction to Approximation Theory, McGraw Hill, New York, 1966, Reprint, Chelsea Publ. Co., New York, 1980.
F. Deutsch, G. Nürenberger and I. Singer, Weak Chebyshev subspaces and alternation, Pacific J. Math. 89 (1980), 9–31.
R. P. Feinerman and D. J. Newman, Polynomial Approximation, The Williams and Wilkins Company, Baltimore, 1974.
A. L. Garkavi, Almost Čebyšev systems of continuous functions, Amer. Math. Soc. Transl. 96(1970), 177–187 (Translation of Izv. Vysš. Učebn. Zaved. Matematika 45(1965), 36–44.).
A. Haar, Die Minkowskische Geometrie und die Annäherung an stetige Funktionen, Math. Ann. 78(1918), 294–311.
D. C. Handscomb, D. F. Mayers and M. J. D. Powell, The general theory of linear approximation, in Methods of Numerical Approximation, Pergamon Press, New York, 1966.
E. Hewitt and K. Stromberg, Real and Abstract Analysis, Springer, New York, 1965.
R. C. Jones and L. A. Karlovitz, Equioscillation under nonuniqueness in the approximation of continuous functions, J. Approx. Theory 3(1970), 138–145.
J. L. Kelly, General Topology, D. van Nostrand, New York, 1955.
K. Kitahara, A characterization of Chebyshev spaces, Proc. Japan Acad. 62 (1986), 375–378.
K. Kitahara, On Tchebysheff systems, Proc. Amer. Math. Soc. 105(1989), 412–418.
K. Kitahara, A note on an infinite weak Tchebycheff system, to appear in J. Approx. Theory.
K. Kitahara, A characterization of almost and weak Chebyshev spaces, in preparation.
K. Kitahara and A. Ueda, A characterization of Tchebycheff systems, in preparation.
H. W. McLaughlin and K. B. Somers, Another characterization of Haar subspaces, J. Approx. Theory 14 (1975), 93–102.
G. Pólya and G. Szegö, Problems and theorems in analysis. I, Springer-Verlag, New York, 1972.
L. Schumaker, Spline functions: Basic theory, Wilely-Interscience, New York, 1981.
M. Sommer, Weak Chebyshev spaces and best L 1-approximation, J. Approx. Theory 39(1983), 54–71.
B. Stockenberg, On the number of zeros of functions in a weak Tchebyshev-space, Math. Z. 156(1977), 49–57.
J. W. Young, General theory of approximation by functions involving a given number of arbitrary parameters, Trans. Amer. Math. Soc. 8(1907), 331–344.
Rights and permissions
Copyright information
© 1994 Springer-Verlag
About this chapter
Cite this chapter
Kitahara, K. (1994). Characterizations of approximating spaces of C[a, b] or C 0(Q). In: Spaces of Approximating Functions with Haar-like Conditions. Lecture Notes in Mathematics, vol 1576. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091387
Download citation
DOI: https://doi.org/10.1007/BFb0091387
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-57974-8
Online ISBN: 978-3-540-48404-2
eBook Packages: Springer Book Archive