Difference between revisions of "Monospline"
From Encyclopedia of Mathematics
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| − | The difference between the function | + | {{TEX|done}} |
| + | The difference between the function $x^n$ and a polynomial [[Spline|spline]] $S_{n-1}(x)$ of degree $n-1$. Monosplines arise in the study of quadrature formulas for differentiable functions. | ||
Latest revision as of 10:16, 20 September 2014
The difference between the function $x^n$ and a polynomial spline $S_{n-1}(x)$ of degree $n-1$. Monosplines arise in the study of quadrature formulas for differentiable functions.
Comments
References
| [a1] | R.S. Johnson, "On monosplines of least deviation" Trans. Amer. Math. Soc. , 96 (1960) pp. 458–477 |
| [a2] | I.J. Schoenberg, "Monosplines and quadrature formulae" T.N.E. Greville (ed.) , Theory and applications of spline functions , Acad. Press (1969) pp. 157–207 |
| [a3] | L.L. Schumaker, "Spline functions, basic theory" , Wiley (1981) |
| [a4] | A.A. Zhensykbaev, "Monosplines of minimal norm and the best quadrature formulae" Russ. Math. Surveys , 36 : 4 (1981) pp. 121–180 Uspekhi Mat. Nauk , 36 : 4 (1981) pp. 107–159 |
| [a5] | A.A. Zhensykbaev, "On monosplines with nonnegative coefficients" J. Approximation Theory , 55 (1988) pp. 172–182 |
How to Cite This Entry:
Monospline. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Monospline&oldid=14581
Monospline. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Monospline&oldid=14581
This article was adapted from an original article by Yu.N. Subbotin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article