✦ LIBER ✦

Positive and copositive spline approximation in Lp[0, 1]

✍ Scribed by Y.-K. Hu

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 536 KB
Volume: 30
Category: Article
ISSN: 0898-1221
DOI: 10.1016/0898-1221(95)00091-7

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On Positive and Copositive Polynomial an

On Positive and Copositive Polynomial and Spline Approximation inLp[−1, 1], 0<p<∞

✍ Y.K. Hu; K.A. Kopotun; X.M. Yu 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 610 KB

For a function f # L p [&1, 1], 0< p< , with finitely many sign changes, we construct a sequence of polynomials P n # 6 n which are copositive with f and such that & f &P n & p C| . ( f , (n+1) &1 ) p , where | . ( f , t) p denotes the Ditzian Totik modulus of continuity in L p metric. It was shown

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

Relations between rational and spline ap

Relations between rational and spline approximations in Lp metric

✍ Pencho P Petrushev 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 631 KB

Best approximation in Lp(I, X), 0 < p <

Best approximation in Lp(I, X), 0 < p < 1

✍ W Deeb; R Khalil 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 473 KB

A Note on Simultaneous Polynomial Approx

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

✍ Z. Ditzian 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 55 KB

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

On the characterization and computation

On the characterization and computation of best monotone approximation in Lp[0, 1] for 1 ⩽ p < ∞

✍ J.J Swetits; S.E Weinstein; Yuesheng Xu 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 519 KB