Best Lp Aapproximation with Multiple Constraints for 1 ⩽ p < ∞

Authors

J. J. Swetits, Old Dominion University
S. E. Weinstein, Old Dominion University
Yuesheng Xu, Old D

Document Type

Article

Publication Date

1991

DOI

10.1016/0021-9045(91)90114-p

Publication Title

Journal of Approximation Theory

Volume

65

Issue

1

Pages

90-108

Abstract

The problem considered in this paper is best L_p approximation with multiple constraints for 1 ⩽ p < ∞. Characterizations of best L_p approximations from multiple n-convex splines and functions are established and the relationship between them is investigated. Applications to best monotone convex approximation are studied.

Comments

Web of Science: "Free full-text from publisher -- Elsevier open archive."

Copyright © 1991 Published by Elsevier Inc. All rights reserved.

Original Publication Citation

Swetits, J. J., Weinstein, S. E., & Xu, Y. S. (1991). Best L_p approximation with multiple constraints for 1 ⩽ p < ∞. Journal of Approximation Theory, 65(1), 90-108. doi:10.1016/0021-9045(91)90114-p

Repository Citation

Swetits, J. J.; Weinstein, S. E.; and Xu, Yuesheng, "Best Lp Aapproximation with Multiple Constraints for 1 ⩽ p < ∞" (1991). Mathematics & Statistics Faculty Publications. 114.
https://digitalcommons.odu.edu/mathstat_fac_pubs/114