## Abstract Pointwise estimates are obtained for the simultaneous approximation of a function f ϵ__C__^__q__^[‐1,1] and its derivatives f^(1)^, …, f^(q)^ by means of an arbitrary sequence of bounded linear projection operators __L__~__n__~ which map __C__[‐1,1] into the polynomials of degree at mos
3D-mappings by means of monogenic functions and their approximation
✍ Scribed by H. R. Malonek; M. I. Falcão
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 337 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1211
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✦ Synopsis
Abstract
We consider quasi‐conformal 3D‐mappings realized by hypercomplex differentiable (monogenic) functions and their polynomial approximation. Main tools are the series development of monogenic functions in terms of hypercomplex variables and the generalization of Kantorovich's approach for approximating conformal mappings by powers of a small parameter. Copyright © 2009 John Wiley & Sons, Ltd.
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