✦ LIBER ✦

Simultaneous approximation by universal series

✍ Scribed by N. Tsirivas

Publisher: John Wiley and Sons
Year: 2010
Tongue: English
Weight: 181 KB
Volume: 283
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200710021

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We show that, if individual universal series exist, then we can choose a sequence of universal series performing simultaneous universal approximation with the same sequence of indices. As an application we derive the existence of universal Laurent Series on an annulus using only the existence of universal Taylor Series on discs. Our results are generic (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

📜 SIMILAR VOLUMES

Simultaneous Approximation by Polynomial

Simultaneous Approximation by Polynomial Projection Operators

✍ T. F. Xie; S. P. Zhou 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 490 KB

Pointwise estimates are obtained for simultaneous approximation of a function f and its derivatives by means of an arbitrary sequence of bounded projection operators with some extra condition (1.3) (we do not require the operators to be linear) which map C I -~, ~~ into polynomials of degree n, augm

Simultaneous Approximations and Covering

Simultaneous Approximations and Covering by Arithmetic Progressions in Fp

✍ Vsevolod F. Lev 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 140 KB

outer maximum being taken over all n-element subsets of F p . It is shown that this extremal simultaneous approximation problem is equivalent to the combinatorial problem of finding minimal l n such that any set of n residues modulo p can be covered by an arithmetic progression of the length l n . F

Approximation by Dirichlet Series with N

Approximation by Dirichlet Series with Nonnegative Coefficients

✍ Yunkang Liu 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 104 KB

Dimension Estimate of Almost Periodic At

Dimension Estimate of Almost Periodic Attractors by Simultaneous Diophantine Approximation

✍ Koichiro Naito 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 397 KB

Analysis of time-delay systems by series

Analysis of time-delay systems by series approximation

✍ Rajakkannu Mutharasan; Rein Luus 📂 Article 📅 1975 🏛 American Institute of Chemical Engineers 🌐 English ⚖ 483 KB

Approximation of delay systems by fourie

Approximation of delay systems by fourier-laguerre series

✍ Jonathan R. Partington 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 368 KB

Error estimates are given for the approximation of stable recorded delay systems in the L 2 and H® norms, using two recently advocated techniques based on Laguerre series. In addition, some theoretical results on L~(0, oo) approximation are derived.