✦ LIBER ✦

Asymptotically Optimal Estimates of the n-Widths of Bounded Analytic Functions

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 313 KB
Volume: 10
Category: Article
ISSN: 0885-064X
DOI: 10.1006/jcom.1994.1026

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Exact Values of N-Widths and Optimal Qua

Exact Values of N-Widths and Optimal Quadratures on Classes of Bounded Analytic and Harmonic Functions

✍ K.Y. Osipenko 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 419 KB

In this paper we find some exact values of $n$-widths in the integral metric with the Chebyshev weight function for the classes of functions that are bounded and analytic or harmonic in the interior of the ellipse with foci $\pm 1$ and sum of semiaxes $c$. We also construct optimal quadrature

n-Widths, Faber Expansion, and Computati

n-Widths, Faber Expansion, and Computation of Analytic Functions

✍ Yu.A. Farkov 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 314 KB

The N-Widths of Spaces of Holomorphic Fu

The N-Widths of Spaces of Holomorphic Functions on Bounded Symmetric Domains of Tube Type

✍ Hongming Ding; Kenneth I. Gross; Donald St.P. Richards 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 183 KB

Let D be a bounded symmetric domain of tube type and 7 be the Shilov boundary of D. Denote by H 2 (D) and A 2 (D) the Hardy and Bergman spaces, respectively, of holomorphic functions on D; and let B(H 2 (D)) and B(A 2 (D)) denote the closed unit balls in these spaces. For an integer l 0 we define th

On the Factorization of Functions Bounde

On the Factorization of Functions Bounded and Analytic in a Half Plane

✍ Rolf Scharm 📂 Article 📅 1988 🏛 John Wiley and Sons 🌐 English ⚖ 453 KB 👁 1 views

We consider functions f l , fa analytic in the upper half plane and continuous in its closure and investigate the following problem: Suppose that the product flfa is bounded in the half plane and both factors are bounded on the real axis; which assumptions on the growth of fl are sufficient for fz

Estimating the Argument of Some Analytic

Estimating the Argument of Some Analytic Functions

✍ A.Z. Grinshpan; E.B. Saff 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 335 KB

We consider a class of analytic functions that are closely related to approximate conformal mappings of simply connected domains onto the unit disk. Using a result of Warschawski, we improve upon our estimates of the argument in the considered class for the important case when the mapping is nearly

Optimal Recovery of the Derivative of Pe

Optimal Recovery of the Derivative of Periodic Analytic Functions from Hardy Classes

✍ Konstantin Yu Osipenko 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 122 KB

Let S ; :=[z # C: |Im z|<;]. For 2?-periodic functions which are analytic in S ; with p-integrable boundary values, we construct an optimal method of recovery of f $(!), ! # S ; , using information about the values f (x 1 ), ..., f (x n ), x j # [0, 2?).