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Inequalities Concerning theLp-Norm of a Polynomial

โœ Scribed by K.K. Dewan; Aijaz Ahmad Bhat; Mohammad Sayeed Pukhta


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
111 KB
Volume
224
Category
Article
ISSN
0022-247X

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Let C \* n , n=0, 1, ..., \*>&1ร‚2 be the ultraspherical (Gegenbauer) polynomials, orthogonal on (&1, 1) with respect to the weight (1&x 2 ) \*&1ร‚2 . Denote by `n, k (\*), k=1, ..., [nร‚2] the positive zeros of C \* n enumerated in decreasing order. The problem of finding the ``extremal'' function f f