How Sharp Is Bernstein ’ S Inequality for Jacobi Polynomials ?

@inproceedings{Gautschi2009HowSI,
  title={How Sharp Is Bernstein ’ S Inequality for Jacobi Polynomials ?},
  author={Walter Gautschi},
  year={2009}
}
Bernstein’s inequality for Jacobi polynomials P (α,β) n , established in 1987 by P. Baratella for the regionR1/2 = {|α| ≤ 1/2, |β| ≤ 1/2}, and subsequently supplied with an improved constant by Y. C how, L. Gatteschi, and R. Wong, is analyzed here analytically and , bove all, computationally with regard to validity and sharpness, not only in the original region R1/2, but also in larger regions Rs = {−1/2 ≤ α ≤ s,−1/2 ≤ β ≤ s}, s > 1/2. Computation suggests that the inequality holds with new, s… CONTINUE READING

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