✦ LIBER ✦

Some Weighted Polynomial Inequalities in L2-Norm

✍ Scribed by A. Guessab

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 234 KB
Volume: 79
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.1994.1117

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we give a new characterization of the classical orthogonal polynomials (Hermite, generalized Laguerre, Jacobi) by extremal properties in some weighted polynomial inequalities in (L^{2})-norm. 1994 Academic Press. Inc.

📜 SIMILAR VOLUMES

Weighted Norm Inequalities for Some Sing

Weighted Norm Inequalities for Some Singular Integral Operators

✍ Takahiko Nakazi; Takanori Yamamoto 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 367 KB

If r is a nonzero constant, then HS r is just a well-known class of weights due to H. Helson and G. Szego (Ann. Mat. Pura Appl. 51 (1960), 107 138). Moreover we study the Koosis-type problem of two weights of S :, ; and get very simple necessary and sufficient conditions for such weights. 1997 Acad

Norm Approximation by Polynomials in Som

Norm Approximation by Polynomials in Some Weighted Bergman Spaces

✍ Ali Abkar 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 143 KB

The polynomials are shown to be dense in weighted Bergman spaces in the unit disk whose weights are superbiharmonic and vanish in an average sense at the boundary. This leads to an alternative proof of the Aleman-Richter-Sundberg Beurling-type theorem for zero-based invariant subspaces in the classi

Weighted L2-Analogs of Bernstein′s Inequ

Weighted L2-Analogs of Bernstein′s Inequality and Classical Orthogonal Polynomials

✍ A. Guessab; G.V. Milovanovic 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 164 KB

Some Discrepancy Theorems in the Theory

Some Discrepancy Theorems in the Theory of Weighted Polynomial Approximation

✍ H.-P Blatt; H.N Mhaskar 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 208 KB

We obtain discrepancy theorems for the distribution of the zeros of extremal polynomials arising in the theory of weighted polynomial approximation on the whole real axis.

Orthogonal Expansion of Real Polynomials

Orthogonal Expansion of Real Polynomials, Location of Zeros, and an L2 Inequality

✍ G. Schmeisser 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 182 KB

Let f (z)=a 0 , 0 (z)+a 1 , 1 (z)+ } } } +a n , n (z) be a polynomial of degree n, given as an orthogonal expansion with real coefficients. We study the location of the zeros of f relative to an interval and in terms of some of the coefficients. Our main theorem generalizes or refines results due to

On Best Polynomial Approximation in L2W(

On Best Polynomial Approximation in L2W(S)

✍ Z. Ditzian 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 332 KB