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001453054 001__ 1453054
001453054 003__ OCoLC
001453054 005__ 20230314003331.0
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001453054 019__ $$a1347260001
001453054 020__ $$a9783031111006$$q(electronic bk.)
001453054 020__ $$a3031111001$$q(electronic bk.)
001453054 020__ $$z9783031110993
001453054 020__ $$z3031110994
001453054 0247_ $$a10.1007/978-3-031-11100-6$$2doi
001453054 035__ $$aSP(OCoLC)1347271602
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001453054 049__ $$aISEA
001453054 050_4 $$aQA312
001453054 08204 $$a515/.42$$223/eng/20221012
001453054 1001_ $$aGavriluţ, Alina,$$eauthor.
001453054 24510 $$aRegular non-additive multimeasures :$$bfundaments and applications /$$cAlina Gavriluţ, Endre Pap.
001453054 264_1 $$aCham :$$bSpringer,$$c[2023]
001453054 264_4 $$c©2023
001453054 300__ $$a1 online resource (vi, 164 pages) :$$billustrations.
001453054 336__ $$atext$$btxt$$2rdacontent
001453054 337__ $$acomputer$$bc$$2rdamedia
001453054 338__ $$aonline resource$$bcr$$2rdacarrier
001453054 4901_ $$aStudies in systems, decision and control ;$$vvolume 448
001453054 504__ $$aIncludes bibliographical references and index.
001453054 5050_ $$aTypes of multimeasures -- Approximation theorems for multimeasures in the Vietoris topology -- Regularity of the Gould and Choquet integrals -- Appendix.
001453054 506__ $$aAccess limited to authorized users.
001453054 520__ $$aThis 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.
001453054 588__ $$aDescription based on print version record.
001453054 650_0 $$aMeasure theory.
001453054 655_0 $$aElectronic books.
001453054 7001_ $$aPap, Endre,$$eauthor.$$1https://isni.org/isni/0000000110466187
001453054 77608 $$iPrint version:$$aGavriluţ, Alina.$$tRegular non-additive multimeasures.$$dCham : Springer, 2022$$z9783031110993$$w(OCoLC)1338686101
001453054 830_0 $$aStudies in systems, decision and control ;$$vv. 448.
001453054 852__ $$bebk
001453054 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-11100-6$$zOnline Access$$91397441.1
001453054 909CO $$ooai:library.usi.edu:1453054$$pGLOBAL_SET
001453054 980__ $$aBIB
001453054 980__ $$aEBOOK
001453054 982__ $$aEbook
001453054 983__ $$aOnline
001453054 994__ $$a92$$bISE