Publication Cover
Applicable Analysis
An International Journal
Volume 14, 1983 - Issue 3
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Original Articles

Alternative Proof of a Sharpened Form of Bernstein's Inequality for Legendre Polynomials

Pages 237-240 | Received 30 Aug 1982, Published online: 10 May 2007

References

  • Antonov , V. A. and Holŝevnikov , K. V. 1981 . An estimate of the remainder in the expansion of the generating function for the Legendre polynomials (Generalization and improvement of Bernstein's inequality) . Vestnik Leningrad Univ. Math. , 13 : 163 – 166 . [English translation]
  • Bernstein , S. N. 1931 . Sur les polynomes orthogonaux relatifs á un segment fmi. II. . J. de Math. Pures et Appl. , 10 ( 9 ) : 219 – 286 .
  • Kazarinoff , N. D. 1961 . Analytic Inequalities , New York : Holt, Rinehart and Winston .
  • Szegö , G. 1975 . Orthogonal Polynomials , Vol. 23 , R.I. : American Mathematical Society Colloquium Publications . Providence

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