article · Proceedings of the American Mathematical Society · 1987

Concerning polynomials on the unit interval

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Abstract

Let Pn be the normed linear space of all polynomials p of degree < n such that p(l) = 0 and ||p|| = (f |p(x)|2 dx)1/2.We determine sharpThe inequality is sharp and equality holds for 1 n_1 pn(x) := Pn(x) --j 2j(2i/+ l)Pv(), i/=0

Cite this paper

APA 7

Tariq, Q. M. (1987). Concerning polynomials on the unit interval. Proceedings of the American Mathematical Society, 99(2), 293. https://doi.org/10.1090/s0002-9939-1987-0870788-8

MLA 9

Tariq, Q. M. “Concerning polynomials on the unit interval.” Proceedings of the American Mathematical Society, vol. 99, no. 2, 1987, p. 293, https://doi.org/10.1090/s0002-9939-1987-0870788-8.

Chicago

Tariq, Q. M. 1987. “Concerning polynomials on the unit interval.” Proceedings of the American Mathematical Society 99 (2): 293. https://doi.org/10.1090/s0002-9939-1987-0870788-8.

Harvard

Tariq, Q.M. (1987) ‘Concerning polynomials on the unit interval’, Proceedings of the American Mathematical Society, 99(2), p. 293. Available at: https://doi.org/10.1090/s0002-9939-1987-0870788-8.

BibTeX

@article{tariq1987concerning,
  title = {{Concerning polynomials on the unit interval}},
  author = {Tariq, Q. M.},
  journal = {Proceedings of the American Mathematical Society},
  volume = {99},
  number = {2},
  pages = {293},
  year = {1987},
  doi = {10.1090/s0002-9939-1987-0870788-8}
}

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