✦ LIBER ✦

Polynomial Projections inC[−1, 1] andL1(−1, 1) with Growthnγ, 0<γ⩽1/2

✍ Scribed by Ernst Görlich; Alfred P Rohs

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 133 KB
Volume: 96
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.1998.3240

No coin nor oath required. For personal study only.

✦ Synopsis

For # # (0, 1Â2] we construct n-dimensional polynomial subspaces Y n of C[&1, 1] and L 1 (&1, 1) such that the relative projection constants *(Y n , C[&1, 1]) and *(Y n , L 1 (&1, 1)) grow as n # . These subspaces are spanned by Chebyshev polynomials of the first and second kind, respectively. The spaces L 1 w(:, ;) where w :, ; is the weight function of the Jacobi polynomials and (:, ;) # [(&1Â2, &1Â2), (&1Â2, 0), (0, &1Â2)] are also studied.

📜 SIMILAR VOLUMES

On the Semilinear Elliptic Equations Δu&

On the Semilinear Elliptic Equations Δu + β(1 + |x|)μup − γ(1 + |x|)νuq = 0 ((1.1)) in Rn

✍ Jann-Long Chern; Yong-Li Tang 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 103 KB

(1 + 1 + 2)-Generate

(1 + 1 + 2)-Generated Equivalence Lattices

✍ Gábor Czédli 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 239 KB

pp. 573᎐586 have shown that Ž . < < Equ A , the lattice of all equivalences of a finite set A with A G 7, has a four-element generating set such that exactly two of the generators are compara-Ž . ble. In other words, these lattices are 1 q 1 q 2 -generated. We extend this result for many infinite s

Stability of the Recursive Sequence xn&#

Stability of the Recursive Sequence xn + 1 = (α − βxn)/(γ + xn − 1)

✍ Mona T. Aboutaleb; M.A. El-Sayed; Alaa E. Hamza 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 69 KB

In this paper we investigate the global asymptotic stability of the recursive , n s 0, 1, . . . , where ␣, ␤, ␥ G 0. We show that the unique positive equilibrium point of the equation is a global attractor with a basin that depends on the conditions posed on the coefficients.

Double-(2n + 1) Configurations

Double-(2n + 1) Configurations in PG(2n + 1, 2)

✍ T.P. McDonough 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 90 KB

In this paper we establish the existence of a configuration in PG(2n + 1, 2), n ≥ 2, a particular case of which is described in detail in [3]. The general configuration consists of two sets of 2 n + 1 spaces of dimension n related by a bijection so that two related n-spaces meet in an (n -1)-space,

R(Cn, Cn, Cn)⩽(4+o(1)) n

✍ Tomasz Łuczak 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 142 KB

It is shown that the

Characterizations of PG(n − 1,

Characterizations of PG(n − 1, q)PG(k − 1, q) by Numerical and Polynomial Invariants

✍ Rachelle M. Ankney; Joseph E. Bonin 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 122 KB

We show that the simple matroid PG n -1 q \PG k -1 q , for n ≥ 4 and 1 ≤ k ≤ n -2, is characterized by a variety of numerical and polynomial invariants. In particular, any matroid that has the same Tutte polynomial as PG n -

Polynomial Projections inC[−1,&#xa0;1] andL1(−1,&#xa0;1) with Growthnγ, 0<γ⩽1/2

✦ Synopsis

Polynomial Projections inC[−1, 1] andL1(−1, 1) with Growthnγ, 0<γ⩽1/2