A generalized modulus of smoothness
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- by Borislav R. Draganov and Kamen G. Ivanov PDF
- Proc. Amer. Math. Soc. 142 (2014), 1577-1590 Request permission
Abstract:
We construct moduli of smoothness that generalize the well-known classical moduli and possess similar properties. They are related to a linear differential operator $L$ just as the classical moduli are related to the ordinary derivative. The generalized moduli are used to characterize the approximation error of the corresponding $L$-splines in $L_p [a,b]$, $1\le p\le \infty$.References
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Additional Information
- Borislav R. Draganov
- Affiliation: Department of Mathematics and Informatics, University of Sofia, 5 James Bourchier Boulevard, 1164 Sofia, Bulgaria – and – Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, bl. 8 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
- Email: bdraganov@fmi.uni-sofia.bg
- Kamen G. Ivanov
- Affiliation: Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, bl. 8 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
- MR Author ID: 92095
- Email: kamen@math.bas.bg
- Received by editor(s): February 11, 2012
- Received by editor(s) in revised form: May 7, 2012, and May 30, 2012
- Published electronically: February 6, 2014
- Additional Notes: Both authors were supported by grant DDVU 02/30 of the Fund for Scientific Research of the Bulgarian Ministry of Education and Science.
- Communicated by: Walter Van Assche
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 142 (2014), 1577-1590
- MSC (2010): Primary 41A25; Secondary 41A15, 41A27
- DOI: https://doi.org/10.1090/S0002-9939-2014-11884-3
- MathSciNet review: 3168465