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GeorgeA.AnastassiouandOktayDuman TowardsIntelligentModeling:StatisticalApproximationTheory IntelligentSystemsReferenceLibrary,Volume14 Editors-in-Chief Prof.JanuszKacprzyk Prof.LakhmiC.Jain SystemsResearchInstitute UniversityofSouthAustralia PolishAcademyofSciences Adelaide ul.Newelska6 MawsonLakesCampus 01-447Warsaw SouthAustralia5095 Poland Australia E-mail:kacprzyk@ibspan.waw.pl E-mail:Lakhmi.jain@unisa.edu.au Furthervolumesofthisseriescanbefoundonour homepage:springer.com Vol.1.ChristineL.MumfordandLakhmiC.Jain(Eds.) Vol.11.SamuliNiiranenandAndreRibeiro(Eds.) ComputationalIntelligence:Collaboration,Fusion InformationProcessingandBiologicalSystems,2011 andEmergence,2009 ISBN978-3-642-19620-1 ISBN978-3-642-01798-8 Vol.12.FlorinGorunescu Vol.2.YuehuiChenandAjithAbraham DataMining,2011 Tree-StructureBasedHybrid ISBN978-3-642-19720-8 ComputationalIntelligence,2009 ISBN978-3-642-04738-1 Vol.13.WitoldPedryczandShyi-MingChen(Eds.) GranularComputingandIntelligentSystems,2011 Vol.3.AnthonyFinnandSteveScheding ISBN978-3-642-19819-9 DevelopmentsandChallengesfor AutonomousUnmannedVehicles,2010 Vol.14.GeorgeA.AnastassiouandOktayDuman ISBN978-3-642-10703-0 TowardsIntelligentModeling:StatisticalApproximation Theory,2011 Vol.4.LakhmiC.JainandCheePengLim(Eds.) ISBN978-3-642-19825-0 HandbookonDecisionMaking:Techniques andApplications,2010 ISBN978-3-642-13638-2 Vol.5.GeorgeA.Anastassiou IntelligentMathematics:ComputationalAnalysis,2010 ISBN978-3-642-17097-3 Vol.6.LudmilaDymowa SoftComputinginEconomicsandFinance,2011 ISBN978-3-642-17718-7 Vol.7.GerasimosG.Rigatos ModellingandControlforIntelligentIndustrialSystems, 2011 ISBN978-3-642-17874-0 Vol.8.EdwardH.Y.Lim,JamesN.K.Liu,and RaymondS.T.Lee KnowledgeSeeker–OntologyModellingforInformation SearchandManagement,2011 ISBN978-3-642-17915-0 Vol.9.MenahemFriedmanandAbrahamKandel CalculusLight,2011 ISBN978-3-642-17847-4 Vol.10.AndreasTolkandLakhmiC.Jain Intelligence-BasedSystemsEngineering,2011 ISBN978-3-642-17930-3 GeorgeA.Anastassiou and Oktay Duman Towards Intelligent Modeling: Statistical Approximation Theory 123 GeorgeA.Anastassiou OktayDuman TheUniversityofMemphis TOBBEconomicsandTechnologyUniversity DepartmentofMathematicalSciences DepartmentofMathematics Memphis,TN38152 Sögütözü USA TR-06530,Ankara E-mail:ganastss@gmail.com Turkey ISBN 978-3-642-19825-0 e-ISBN978-3-642-19826-7 DOI 10.1007/978-3-642-19826-7 Intelligent SystemsReference Library ISSN1868-4394 Library of Congress Control Number:2011923549 (cid:2)c 2011 Springer-VerlagBerlin Heidelberg This work is subject to copyright. All rights are reserved, whether the whole or partofthematerialisconcerned,specificallytherightsoftranslation,reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always beobtainedfrom Springer.Violations areliable toprosecution underthe German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuch namesareexemptfromtherelevantprotectivelawsandregulationsandtherefore free for general use. Typeset&CoverDesign:ScientificPublishing ServicesPvt. Ltd., Chennai, India. Printed on acid-free paper 9 8 7 6 5 4 3 2 1 springer.com Dedicated to Angela, Bahar, Do˘ga, Esra, Koula, Peggy and also dedicated to World Peace! George Anastassiou in Iguazu Falls, Brazil, March 2008. OktayDuman, Ankara,Turkey,January 2011.

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The main idea of statistical convergence is to demand convergence only for a majority of elements of a sequence. This method of convergence has been investigated in many fundamental areas of mathematics such as: measure theory, approximation theory, fuzzy logic theory, summability theory, and so on.

Towards Intelligent Modeling: Statistical Approximation Theory PDF

252 Pages·2011·2.22 MB·English

by George A. Anastassiou

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Author:	George A. Anastassiou
Publication Year:	2011
Pages:	252
Language:	English
File Size:	2.22
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