𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On certain extremal problems concerning polynomials

✍ Scribed by Ying-Guang Shi


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
381 KB
Volume
61
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On Some Problems of P. TurΓ‘n Concerning
✍ Ying Guang Shi πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 139 KB

The L m extremal polynomials in an explicit form with respect to the weights (1&x) &1Γ‚2 (1+x) (m&1)Γ‚2 and (1&x) (m&1)Γ‚2 (1+x) &1Γ‚2 for even m are given. Also, an explicit representation for the Cotes numbers of the corresponding Tura n quadrature formulas and their asymptotic behavior is provided. 1

Extremal Homogeneous Polynomials on Real
✍ PΓ‘draig Kirwan; Yannis Sarantopoulos; Andrew M Tonge πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 135 KB

If P is a continuous m-homogeneous polynomial on a real normed space and P 8 is the associated symmetric m-linear form, the ratio &P 8 &Γ‚&P& always lies between 1 and m m Γ‚m!. We show that, as in the complex case investigated by Sarantopoulos (1987, Proc. Amer. Math. Soc. 99, 340 346), there are P '