✦ LIBER ✦

A Note on Simultaneous Polynomial Approximation in Lp[− 1, 1], 0 < p < 1

✍ Scribed by Z. Ditzian

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 55 KB
Volume: 82
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.1995.1081

No coin nor oath required. For personal study only.

✦ Synopsis

In this note we will show that for (0<p<1) simultaneous polynomial approximation is not possible. "1995 Academic Press. Inc.

📜 SIMILAR VOLUMES

Convex Polynomial Approximation in Lp (0

Convex Polynomial Approximation in Lp (0 < p < 1)

✍ R.A. Devore; D. Leviatan 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 177 KB

Discrete Nonlinear Lp Approximation, 0p≤

Discrete Nonlinear Lp Approximation, 0p≤1

✍ Charles B. Dunham 📂 Article 📅 1982 🏛 John Wiley and Sons 🌐 English ⚖ 230 KB

Polynomial Approximation in Ep(D) with 0

Polynomial Approximation in Ep(D) with 0 < p < 1

✍ L.F. Zhong 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 276 KB

Approximation of a Convex Function by Co

Approximation of a Convex Function by Convex Algebraic Polynomials in Lp, 1 ≤ p < ∞

✍ M. Nikoltjevahedberg 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 276 KB

In this paper we show that the best approximation of a convex function by convex algebraic polynomials in \(L_{p}, 1 \leqslant p<x\), is \(O\left(n^{-2 / p}\right)\). 1993 Academic Press. Inc.

One-Sided Trigonometric Approximation in

One-Sided Trigonometric Approximation in Metrics of the Fréchet Spaces Lp (0 p < 1)

✍ Roman Taberski 📂 Article 📅 1985 🏛 John Wiley and Sons 🌐 English ⚖ 271 KB

Unconditional bases in lp⊕lq, 0 p q < 1

✍ Augustyn Ortynski 📂 Article 📅 1981 🏛 John Wiley and Sons 🌐 English ⚖ 382 KB

## Abstract We prove that every unconditional basis of __l__~__p__~⊕__l__~__q__~ (0 < __p__ < __q__ < 1) is a disjoint union of two subsequences which span subspaces isomorphic to __l__~__p__~ and __l__~__q__~ respectively. This is an extension of a similar result of EDELSTEIN and WOJTASZCZYK [3] f