Abstract
In this chapter we present the quaternionic counterparts, in the slice regular case, of several celebrated results in complex approximation. In particular, we discuss approximation by Bernstein polynomials and by convolution operators in the case of compact balls and Cassini cells.
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Gal, S.G., Sabadini, I. (2019). Approximation in Compact Balls by Bernstein and Convolution Type Operators. In: Quaternionic Approximation . Frontiers in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-10666-9_3
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DOI: https://doi.org/10.1007/978-3-030-10666-9_3
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-10664-5
Online ISBN: 978-3-030-10666-9
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