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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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