Best near-interpolation by curves: Existence

SIAM Journal on Numerical Analysis

Volumn 38, Issue 5, 2001, Pages 1666-1675

  Kersey, Scott ^a  

^a CASE WESTERN RESERVE UNIVERSITY   (United States)

Author keywords

Approximation; Interpolation; Near interpolation; Parametric curves; Splines

Indexed keywords

EID: 0034541039     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142999355696     Document Type: Article

References (7)

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2. A FRIEDMAN, Foundations of Modern Analysis, Dover, New York, 1982.
3. S. KERSEY, Best Near-Interpolation by Curves: Optimality Conditions, Technical Report 99-05, Center for the Mathematical Sciences, University of Wisconsin, Madison, WI, 1999.
4. S. P. MARIN An approach to data parametrization in parametric cubic spline interpolation problems, J. Approx. Theory, 41 (1984), pp. 64-86.
5. W. RUDIN, Principles of Mathematical Analysis, 3rd ed., McGraw-Hill, New York, 1976.
6. K. SCHERER AND P. W. SMITH, Existence of best parametric interpolation by curves, SIAM J. Numer. Anal., 20 (1989), pp. 160-168.
7. A. E. TAYLOR AND D. C. LAY, Introduction to Functional Analysis, 2nd ed., John Wiley and Sons, New York, 1980.