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On a conjecture concerning the sum of the squared Bernstein polynomials

✍ Scribed by Gavrea, Ioan; Ivan, Mircea

Book ID
124118588
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
250 KB
Volume
241
Category
Article
ISSN
0096-3003

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πŸ“œ SIMILAR VOLUMES

On a Conjecture Concerning Monotonicity
On a Conjecture Concerning Monotonicity of Zeros of Ultraspherical Polynomials
✍ Dimitar K. Dimitrov πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 235 KB

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