Results 111 to 120 of about 3,011 (212)

Shape-preserving properties of ω,q-Bernstein polynomials

, 2009
In this paper, we discuss shape-preserving properties of the ω,q-Bernstein polynomials Bnω,q(f;x) introduced by Lewanowicz and Wozny in [S. Lewanowicz, P. Woźny, Generalized Bernstein polynomials, BIT 44(1) (2004) 63–78] for ω,q∈(0,1).
Wang, Heping
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On the Complexity of Optimization over the Standard Simplex

We review complexity results for minimizing polynomials over the standard simplex and unit hypercube.In addition, we show that there exists a polynomial time approximation scheme (PTAS) for minimizing Lipschitz continuous functions and functions with ...
Klerk, E. de, Hertog, D. den, Elfadul, G.E.E.   +2 more
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On generalized Bernstein polynomials in CAGD [PDF]

, 1988
A central topic in CAGD is the representation of curves and surfaces by polynomial interpolation operators, in particular by Bernstein polynomials. In this paper we present two different types of generalized Bernstein polynomials. The first one goes back
Walz, Guido
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A survey of results on the q-Bernstein polynomials

, 2010
It is now nearly a century since S. N. Bernstein introduced his well-known polynomials. This paper is concerned with generalizations of the Bernstein polynomials, mainly with the so called q-Bernstein polynomials.
Phillips, George M.
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Faster approximation to multivariate functions by combined Bernstein-Taylor operators

Demonstratio Mathematica
In this article, we incorporate multivariate Taylor polynomials into the definition of the Bernstein operators to get a faster approximation to multivariate functions by these combined operators.
Duman Oktay
doaj   +1 more source

Circular Bernstein-Bézier Polynomials

, 1995
. In this paper we discuss a natural way to define barycentric coordinates associated with circular arcs. This leads to a theory of Bernstein-B'ezier polynomials which parallels the familiar interval case, and which has close connections to ...
Marian Neamtu, Peter Alfeld, Larry L. Schumaker   +2 more
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Shifted-knots Bernstein polynomials.

The shifted-knots Bernstein polynomials of degree n = 1, 2, 3 for different values of ♭ and ς.
Daud Ahmad (17729624), Sadia Bashir (17729621)   +1 more
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A generalization of the Bernstein polynomials

, 1999
This paper is concerned with a generalization of the classical Bernstein polynomials where the function is evaluated at intervals which are in geometric progression. It is shown that, when the function is convex, the generalized Bernstein polynomials B-n
Oruc, H, Phillips, G M, Phillips, GM, Oruc, HALİL   +3 more
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On the degree of simultaneous approximation by modified bernstein polynomials [PDF]

, 1989
Recently we proved some approximation theorems on the rth derivative of a Lebesgue integrable function by the corresponding rth derivative of modified Bernstein polynomials, Publ.lnst.Math., 87 (51) (1986).
Prasad, G., Tiwari, M. K., Singh, S. P.
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Static analysis for detecting and avoiding floating-point run-time errors in logic programs [PDF]

, 2006
The aim of this thesis is to provide techniques for the abstraction of floating-point expressions into the polyhedra domain as well as into the finite powerset of polyhedra domain.
Nunez Fontarnau, Javier
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