國立高雄大學圖資館 |

Language: English

Back

Regular non-additive multimeasuresfundaments and applications /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Regular non-additive multimeasuresby Alina Gavriluţ, Endre Pap.
Reminder of title:	fundaments and applications /
Author:	Gavriluţ, Alina.
other author:	Pap, Endre.
Published:	Cham :Springer International Publishing :2023.
Description:	vi, 164 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Measure theory.
Online resource:	https://doi.org/10.1007/978-3-031-11100-6
ISBN:	9783031111006$q(electronic bk.)

Regular non-additive multimeasuresfundaments and applications /
Gavriluţ, Alina.

Regular non-additive multimeasuresfundaments and applications /[electronic resource] :by Alina Gavriluţ, Endre Pap. - Cham :Springer International Publishing :2023. - vi, 164 p. :ill., digital ;24 cm. - Studies in systems, decision and control,v. 4482198-4190 ;. - Studies in systems, decision and control ;v.3..

Types of multimeasures -- Approximation theorems for multimeasures in the Vietoris topology -- Regularity of the Gould and Choquet integrals -- Appendix.

This book is intended to be an exhaustive study on regularity and other properties of continuity for different types of non-additive multimeasures and with respect to different types of topologies. The book is addressed to graduate and postgraduate students, teachers and all researchers in mathematics, but not only. Since the notions and results offered by this book are closely related to various notions of the theory of probability, this book will be useful to a wider category of readers, using multivalued analysis techniques in areas such as control theory and optimization, economic mathematics, game theory, decision theory, etc. Measure and integration theory developed during the early years of the 20th century is one of the most important contributions to modern mathematical analysis, with important applications in many fields. In the last years, many classical problems from measure theory have been treated in the non-additive case and also extended in the set-valued case. The property of regularity is involved in many results of mathematical analysis, due to its applications in probability theory, stochastic processes, optimal control problems, dynamical systems, Markov chains, potential theory etc.

ISBN: 9783031111006$q(electronic bk.)

Standard No.: 10.1007/978-3-031-11100-6doiSubjects--Topical Terms:

182047
Measure theory.

LC Class. No.: QA312

Dewey Class. No.: 515.42

Regular non-additive multimeasuresfundaments and applications /
LDR:02431nmm a2200337 a 4500 001 645099
003 DE-He213
005 20221007074758.0
006 m d
007 cr nn 008maaau
008 231208s2023 sz s 0 eng d
020 $a 9783031111006$q(electronic bk.)
020 $a 9783031110993$q(paper)
024 7 $a 10.1007/978-3-031-11100-6 $2 doi
035 $a 978-3-031-11100-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QA312
072 7 $a TBJ $2 bicssc
072 7 $a TEC009000 $2 bisacsh
072 7 $a TBJ $2 thema
082 0 4 $a 515.42 $2 23
090 $a QA312 $b .G283 2023
100 1 $a Gavriluţ, Alina. $3 953814
245 1 0 $a Regular non-additive multimeasures $h [electronic resource] : $b fundaments and applications / $c by Alina Gavriluţ, Endre Pap.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2023.
300 $a vi, 164 p. : $b ill., digital ; $c 24 cm.
490 1 $a Studies in systems, decision and control, $x 2198-4190 ; $v v. 448
505 0 $a Types of multimeasures -- Approximation theorems for multimeasures in the Vietoris topology -- Regularity of the Gould and Choquet integrals -- Appendix.
520 $a This book is intended to be an exhaustive study on regularity and other properties of continuity for different types of non-additive multimeasures and with respect to different types of topologies. The book is addressed to graduate and postgraduate students, teachers and all researchers in mathematics, but not only. Since the notions and results offered by this book are closely related to various notions of the theory of probability, this book will be useful to a wider category of readers, using multivalued analysis techniques in areas such as control theory and optimization, economic mathematics, game theory, decision theory, etc. Measure and integration theory developed during the early years of the 20th century is one of the most important contributions to modern mathematical analysis, with important applications in many fields. In the last years, many classical problems from measure theory have been treated in the non-additive case and also extended in the set-valued case. The property of regularity is involved in many results of mathematical analysis, due to its applications in probability theory, stochastic processes, optimal control problems, dynamical systems, Markov chains, potential theory etc.
650 0 $a Measure theory. $3 182047
650 1 4 $a Engineering Mathematics. $3 806481
650 2 4 $a Mathematical and Computational Engineering Applications. $3 915034
650 2 4 $a Control and Systems Theory. $3 825946
700 1 $a Pap, Endre. $3 646560
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Studies in systems, decision and control ; $v v.3. $3 678532
856 4 0 $u https://doi.org/10.1007/978-3-031-11100-6
950 $a Engineering (SpringerNature-11647)