Simultaneous approximation and interpolation of functions on continua in the complex plane

Details Simultaneous approximation and interpolation of functions on continua in the complex plane Simultaneous approximation and interpolation of functions on continua in the complex plane

2000-05-03

arxiv.org/abs/math/0005032v1

Mathematics

Complex Variables

21 page; submitted to J. Math. Pures Appl

Scientific paper

We construct polynomial approximations of Dzjadyk type (in terms of the k-th modulus of continuity, $k \ge 1$) for analytic functions defined on a continuum E in the complex plane, which simultaneously interpolate at given points of E. Furthermore, the error in this approximation is decaying as $e^{-cn^\alpha}$ strictly inside E, where c and $\alpha$ are positive constants independent of the degree n of the approximating polynomial.

Affiliated with

Also associated with

No associations

Rating

Simultaneous approximation and interpolation of functions on continua in the complex plane does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Simultaneous approximation and interpolation of functions on continua in the complex plane, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Simultaneous approximation and interpolation of functions on continua in the complex plane will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-231215