國立虎尾科技大學 |

Quaternionic approximation = with application to slice regular functions /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Quaternionic approximation/ by Sorin G. Gal, Irene Sabadini.
其他題名:	with application to slice regular functions /
作者:	Gal, Sorin G.
其他作者:	Sabadini, Irene.
出版者:	Cham :Springer International Publishing : : 2019.,
面頁冊數:	x, 221 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Functions, Quaternion. -
電子資源:	https://doi.org/10.1007/978-3-030-10666-9
ISBN:	9783030106669

Quaternionic approximation = with application to slice regular functions /
Gal, Sorin G.

Quaternionic approximationwith application to slice regular functions /[electronic resource] :by Sorin G. Gal, Irene Sabadini. - Cham :Springer International Publishing :2019. - x, 221 p. :ill., digital ;24 cm. - Frontiers in mathematics,1660-8046. - Frontiers in mathematics..

Preliminaries on Hypercomplex Analysis -- Approximation of Continuous Functions -- Approximation by Bernstein and Convolution Type Operators -- Approximation of Slice Regular Functions in Compact Sets -- Overconvergence, Equiconvergence and Universality Properties -- Inequalities for Quaternionic Polynomials -- Approximation of nullsolutions of generalized Cauchy-Riemann operators.

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.

ISBN: 9783030106669

Standard No.: 10.1007/978-3-030-10666-9doiSubjects--Topical Terms:

1023861
Functions, Quaternion.

LC Class. No.: QA331.7

Dewey Class. No.: 515.9

Quaternionic approximation = with application to slice regular functions /
LDR:02093nam a2200337 a 4500 001 939784
003 DE-He213
005 20190412093710.0
006 m d
007 cr nn 008maaau
008 200414s2019 gw s 0 eng d
020 $a 9783030106669 $q (electronic bk.)
020 $a 9783030106645 $q (paper)
024 7 $a 10.1007/978-3-030-10666-9 $2 doi
035 $a 978-3-030-10666-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA331.7
072 7 $a PBKD $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKD $2 thema
082 0 4 $a 515.9 $2 23
090 $a QA331.7 $b .G146 2019
100 1 $a Gal, Sorin G. $3 672269
245 1 0 $a Quaternionic approximation $h [electronic resource] : $b with application to slice regular functions / $c by Sorin G. Gal, Irene Sabadini.
260 $a Cham : $c 2019. $b Springer International Publishing : $b Imprint: Birkhauser,
300 $a x, 221 p. : $b ill., digital ; $c 24 cm.
490 1 $a Frontiers in mathematics, $x 1660-8046
505 0 $a Preliminaries on Hypercomplex Analysis -- Approximation of Continuous Functions -- Approximation by Bernstein and Convolution Type Operators -- Approximation of Slice Regular Functions in Compact Sets -- Overconvergence, Equiconvergence and Universality Properties -- Inequalities for Quaternionic Polynomials -- Approximation of nullsolutions of generalized Cauchy-Riemann operators.
520 $a 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.
650 0 $a Functions, Quaternion. $3 1023861
650 0 $a Approximation theory. $3 527707
650 1 4 $a Functions of a Complex Variable. $3 672126
650 2 4 $a Approximations and Expansions. $3 672153
700 1 $a Sabadini, Irene. $3 676848
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Frontiers in mathematics. $3 888364
856 4 0 $u https://doi.org/10.1007/978-3-030-10666-9
950 $a Mathematics and Statistics (Springer-11649)