Whitney theorem of interpolatory type for k-monotone functions
Author:
Publisher
Springer Science and Business Media LLC
Subject
Computational Mathematics,General Mathematics,Analysis
Link
http://link.springer.com/content/pdf/10.1007/s003650010031.pdf
Reference10 articles.
1. Yu. A. Brudnyi (1964): On a theorem concerning local best approximation. Uchen. Zap. Kazansk. Univ., 124:43–49. (Russian).
2. P. S. Bullen (1971): A criterion for n-convexity. Pacific J. Math., 36:81–98.
3. H. Burkill (1952): Cesaro-Perron almost periodic functions. Proc. London Math. Soc., 3:150–174.
4. R. A. DeVore, G. G. Lorentz (1993): Constructive Approximation. Berlin: Springer-Verlag.
5. K. A. Kopotun (1998): Approximation of k-monotone functions, J. Approx. Theory, 94:481–493.
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1. Weighted moduli of smoothness of k-monotone functions and applications;Journal of Approximation Theory;2015-04
2. On moduli of smoothness ofk-monotone functions and applications;Mathematical Proceedings of the Cambridge Philosophical Society;2009-01
3. Kolmogorov, Linear and Pseudo-Dimensional Widths of Classes of s-Monotone Functions in p, 0 < p < 1;Canadian Mathematical Bulletin;2008-06-01
4. On k-Monotone Approximation by Free Knot Splines;SIAM Journal on Mathematical Analysis;2003-01
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