NOTE: On the Degree of Lp Approximation with Positive Linear Operators

Authors

J. J. Swetits, Old Dominion University
B. Wood

Document Type

Article

Publication Date

11-1996

DOI

10.1006/jath.1996.0103

Publication Title

Journal of Approximation Theory

Volume

87

Issue

2

Pages

239-241

Abstract

The degree of approximation in L_p-spaces by positive linear operators is estimated in terms of the integral modulus of smoothness. It is shown that the conjectured optimal degree of approximation is not attained in the class of functions having a second derivative belonging to L_p.

Comments

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

Copyright © 1996 Academic Press. All rights reserved.

Original Publication Citation

Swetits, J. J., & Wood, B. (1996). On the degree of L_p approximation with positive linear operators. Journal of Approximation Theory, 87(2), 239-241. doi:10.1006/jath.1996.0103

Repository Citation

Swetits, J. J. and Wood, B., "NOTE: On the Degree of Lp Approximation with Positive Linear Operators" (1996). Mathematics & Statistics Faculty Publications. 111.
https://digitalcommons.odu.edu/mathstat_fac_pubs/111