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Quaternionic Approximation

With Application to Slice Regular Functions

Irene Sabadini, Sorin G. Gal

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Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Analysis

Beschreibung

This book presents the extensions to the quaternionic setting of some of the main approximation results in complex analysis. It also includes the main inequalities regarding the behavior of the derivatives of polynomials with quaternionic cofficients. With some few exceptions, all the material in this book belongs to recent research of the authors on the approximation of slice regular functions of a quaternionic variable.

The book is addressed to researchers in various areas of mathematical analysis, in particular hypercomplex analysis, and approximation theory. It is accessible to graduate students and suitable for graduate courses in the above framework.


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Schlagwörter

approximation by nonpolynomial convolutions, Bernstein, monogenic functions, Erdos-Lax, quaternionic polynomials, quaternionic functions, Turan inequalities, slice regular functions, approximation by quaternionic polynomials