✦ LIBER ✦

Bernstein polynomials and numerical integration

✍ Scribed by Erwin Kreyszig

Publisher: John Wiley and Sons
Year: 1979
Tongue: English
Weight: 199 KB
Volume: 14
Category: Article
ISSN: 0029-5981
DOI: 10.1002/nme.1620140213

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Differentiation and integration using Be

Differentiation and integration using Bernstein's polynomials

✍ J. Reinkenhof 📂 Article 📅 1977 🏛 John Wiley and Sons 🌐 English ⚖ 170 KB

Generalized Bernstein Polynomials and Sy

Generalized Bernstein Polynomials and Symmetric Functions

✍ Robert P Boyer; Linda C Thiel 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 166 KB

We begin by classifying all solutions of two natural recurrences that Bernstein polynomials satisfy. The first scheme gives a natural characterization of Stancu polynomials. In Section 2, we identify the Bernstein polynomials as coefficients in the generating function for the elementary symmetric fu

Bernstein Polynomials and Modulus of Con

Bernstein Polynomials and Modulus of Continuity

✍ Zhongkai Li 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 89 KB

p n, j (x)= \ n j + x j (1&x) n& j of a given function f (x) on [0, 1], besides the convergence and approximation, preserve some properties of the original function. For example: (i) if f (x) is non-decreasing, then for all n 1, the B n ( f; x) are nondecreasing; (ii) if f (x) is convex, then for

On the Convergence and Iterates of q-Ber

On the Convergence and Iterates of q-Bernstein Polynomials

✍ Halil Oruç; Necibe Tuncer 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 142 KB

Macdonald Polynomials and Algebraic Inte

Macdonald Polynomials and Algebraic Integrability

✍ Oleg A. Chalykh 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 380 KB

We construct explicitly (nonpolynomial) eigenfunctions of the difference operators by Macdonald in the case t=q k , k ¥ Z. This leads to a new, more elementary proof of several Macdonald conjectures, proved first by Cherednik. We also establish the algebraic integrability of Macdonald operators at t

Lagrange and Least-Squares Polynomials a

Lagrange and Least-Squares Polynomials as Limits of Linear Combinations of Iterates of Bernstein and Durrmeyer Polynomials

✍ J.C. Sevy 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 139 KB

The linear combination of iterates \(1-\left(1-P_{n}\right)^{M}\) of Bernstein and Durrmeyer operators of a fixed degree \(n\) is considered for increasing order of iteration \(M\). The resulting sequence of polynomials is shown to converge to the Lagrange interpolating polynomial for the Bernstein