A bernstein-type inequality for the jacobi polynomial

Yunshyong Chow, L. Gatteschi, R. Wong

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

28 Citations (Scopus)

Abstract

Let be the Jacobi polynomial of degree n.For it is proved that q = max(α, β)When α = β = 0, this reduces to a sharpened form of the well-known Bernstein inequality for the Legendre polynomial. © 1994 American Mathematical Society.
Original languageEnglish
Pages (from-to)703-709
JournalProceedings of the American Mathematical Society
Volume121
Issue number3
DOIs
Publication statusPublished - Jul 1994
Externally publishedYes

Research Keywords

  • Bernstein inequality
  • Hypergeometric function
  • Jacobi polynomial

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