An extremal property of Jacobi polynomials in two-sided Chernoff-type inequalities for higher order derivatives
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- by Vladimir D. Stepanov PDF
- Proc. Amer. Math. Soc. 136 (2008), 1589-1597 Request permission
Abstract:
For a weight function generating the classical Jacobi polynomials, the sharp double estimate of the distance from the subspace of all polynomials of an arbitrary fixed order is established.References
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Additional Information
- Vladimir D. Stepanov
- Affiliation: People Friendship University, Miklukho-Maklai 6, Moscow, 117198, Russia
- Email: vstepanov@sci.pfu.edu.ru
- Received by editor(s): March 4, 2006
- Published electronically: January 4, 2008
- Additional Notes: The work of the author was financially supported by the Russian Foundation for Basic Researches (Projects 05–01–00422, 06–01–00341, 06–01–04006 and 07–01–00054) and by the INTAS grant 05-1000008-8157.
- Communicated by: Jonathan M. Borwein
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 1589-1597
- MSC (2000): Primary 26D10; Secondary 33C45, 60E15
- DOI: https://doi.org/10.1090/S0002-9939-08-09218-6
- MathSciNet review: 2373588