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An Extremal Property of Jacobi Polynomials in Two-Sided Chernoff-Type Inequalities for Higher Order Derivatives
Vladimir D. Stepanov
Proceedings of the American Mathematical Society
Vol. 136, No. 5 (May, 2008), pp. 1589-1597
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/20535334
Page Count: 9
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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.
Proceedings of the American Mathematical Society © 2008 American Mathematical Society