1,721,085 research outputs found
On the extendability of conformal vector fields of 2-dimensional manifolds
No full textAbstractLet g be a pseudo-Riemannian metric on a 2-dimensional manifold M. We prove that a conformal vector field of g|M∖{p}, where p∈M, can be uniquely extended to a conformal vector field of g provided its conformal factor is bounded
Evolution Equations Associated with Recursively Defined Bernstein-Type Operators
No full textAbstractWe continue the study of the generalization of Bernstein operators introduced previously, obtained by requiring suitable recursive relations on the binomial-type coefficients. We show that these operators can be used to approximate the solutions of some degenerate second order parabolic problems
Approximation Properties of Recursively Defined Bernstein-Type Operators
No full textAbstractWe consider a generalization of classical Bernstein operators obtained by replacing the binomial coefficients with general ones satisfying a suitable recursive relation. We study the uniform convergence of these operators together with some quantitative estimates and regularity properties. Finally, in some particular cases, we investigate the behavior of the iterates
- …
