Intelligent Mathematics II: Applied Mathematics and Approximation Theory PDF
Preview Intelligent Mathematics II: Applied Mathematics and Approximation Theory
Advances in Intelligent Systems and Computing 441 George A. Anastassiou Oktay Duman Editors Intelligent Mathematics II: Applied Mathematics and Approximation Theory Advances in Intelligent Systems and Computing Volume 441 Series editor Janusz Kacprzyk, Polish Academy of Sciences, Warsaw, Poland e-mail: [email protected] About this Series Theseries“AdvancesinIntelligentSystemsandComputing”containspublicationsontheory, applications,anddesignmethodsofIntelligentSystemsandIntelligentComputing.Virtually alldisciplinessuchasengineering,naturalsciences,computerandinformationscience,ICT, economics,business,e-commerce,environment,healthcare,lifesciencearecovered.Thelist oftopicsspansalltheareasofmodernintelligentsystemsandcomputing. Thepublicationswithin“AdvancesinIntelligentSystemsandComputing”areprimarily textbooksandproceedingsofimportantconferences, symposiaandcongresses.Theycover significantrecentdevelopmentsinthefield,bothofafoundationalandapplicablecharacter. Animportantcharacteristicfeatureoftheseriesistheshortpublicationtimeandworld-wide distribution. Thispermitsarapid andbroaddissemination ofresearch results. Advisory Board Chairman Nikhil R. Pal,Indian Statistical Institute,Kolkata, India e-mail: [email protected] Members Rafael Bello,Universidad Central “Marta Abreu”deLasVillas, SantaClara, Cuba e-mail: [email protected] Emilio S.Corchado, University of Salamanca, Salamanca, Spain e-mail: [email protected] HaniHagras, University of Essex, Colchester, UK e-mail: [email protected] LászlóT. Kóczy, SzéchenyiIstván University, Győr,Hungary e-mail: [email protected] VladikKreinovich, University of Texasat ElPaso, ElPaso, USA e-mail: [email protected] Chin-Teng Lin, National ChiaoTung University,Hsinchu, Taiwan e-mail: [email protected] Jie Lu,University of Technology,Sydney,Australia e-mail: [email protected] Patricia Melin,Tijuana Institute of Technology,Tijuana, Mexico e-mail: [email protected] Nadia Nedjah,State University of RiodeJaneiro,RiodeJaneiro, Brazil e-mail: [email protected] Ngoc ThanhNguyen, Wroclaw University of Technology,Wroclaw,Poland e-mail: [email protected] Jun Wang, TheChineseUniversity of HongKong,Shatin, HongKong e-mail: [email protected] More information about this series at http://www.springer.com/series/11156 George A. Anastassiou Oktay Duman (cid:129) Editors Intelligent Mathematics II: Applied Mathematics and Approximation Theory 123 Editors George A.Anastassiou OktayDuman Department ofMathematical Sciences Department ofMathematics University of Memphis TOBB University of Economics Memphis,TN andTechnology USA Ankara Turkey ISSN 2194-5357 ISSN 2194-5365 (electronic) Advances in Intelligent Systems andComputing ISBN978-3-319-30320-8 ISBN978-3-319-30322-2 (eBook) DOI 10.1007/978-3-319-30322-2 LibraryofCongressControlNumber:2016932751 ©SpringerInternationalPublishingSwitzerland2016 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpart of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission orinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilar methodologynowknownorhereafterdeveloped. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfrom therelevantprotectivelawsandregulationsandthereforefreeforgeneraluse. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authorsortheeditorsgiveawarranty,expressorimplied,withrespecttothematerialcontainedhereinor foranyerrorsoromissionsthatmayhavebeenmade. Printedonacid-freepaper ThisSpringerimprintispublishedbySpringerNature TheregisteredcompanyisSpringerInternationalPublishingAGSwitzerland Dedicated to World Peace! AMAT2015Conference,TOBBUniversityofEconomicsandTechnology,Ankara,Turkey,May 28–31,2015 GeorgeA.AnastassiouandOktayDumanAnkara,Turkey,May29,2015 Preface Applied Mathematics and Approximation Theory (AMAT) is an international conference that brings together researchers from all areas of Applied Mathematics andApproximationTheoryheldevery3or4years.Thisspecialvolumeisdevoted totheproceedingshavingtodomorewithappliedmathematicscontentspresented in the 3rd AMAT Conference held at TOBB Economics and Technology University, during May 28–31, 2015 in Ankara, Turkey. We are particularly indebted to the Organizing Committee and the Scientific Committee for their great efforts. We also appreciate the plenary speakers: George A. Anastassiou (University of Memphis, USA), Martin Bohner (Missouri University of Science and Technology, USA), Alexander Goncharov (Bilkent University, Turkey), Varga Kalantarov (Koç University, Turkey), Gitta Kutyniok (Technische Universität Berlin, Germany), Choonkil Park (Hanyang University, South Korea), Mircea Sofonea (University of Perpignan, France), Tamaz Vashakmadze (Tbilisi State University, Georgia). Wewouldlikealsotothanktheanonymousreviewerswhohelpedusselectthe bestarticlesforinclusioninthisproceedingsvolume,andalsotheauthorsfortheir valuable contributions. Finally, we are grateful to “TOBB University of Economics and Technology” for hosting this conference and providing all of its facilities, and also to “Central Bank of Turkey” for financial support. November 2015 George A. Anastassiou Oktay Duman vii Contents Bivariate Left Fractional Polynomial Monotone Approximation . . . . . . 1 George A. Anastassiou Bivariate Right Fractional Pseudo-Polynomial Monotone Approximation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 George A. Anastassiou Nonlinear Approximation: q-Bernstein Operators of Max-Product Kind . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 Oktay Duman A Two Dimensional Inverse Scattering Problem for Shape and Conductive Function for a Dielectic Cylinder. . . . . . . . . . . . . . . . . 57 Ahmet Altundag Spinning Particle in Interaction with a Time Dependent Magnetic Field: A Path Integral Approach. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 Hilal Benkhelil and Mekki Aouachria New Complexity Analysis of the Path Following Method for Linear Complementarity Problem . . . . . . . . . . . . . . . . . . . . . . . . . 87 El Amir Djeffal, Lakhdar Djeffal and Farouk Benoumelaz Branch and Bound Method to Resolve the Non-convex Quadratic Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 R. Benacer and Boutheina Gasmi Rogue Wave Solutions for the Myrzakulov-I Equation . . . . . . . . . . . . . 119 Gulgassyl Nugmanova Fuzzy Bilevel Programming with Credibility Measure. . . . . . . . . . . . . . 127 Hande Günay Akdemir A New Approach of a Possibility Function Based Neural Network . . . . 139 George A. Anastassiou and Iuliana F. Iatan ix x Contents Elementary Matrix Decomposition Algorithm for Symmetric Extension of Laurent Polynomial Matrices and Its Application in Construction of Symmetric M-Band Filter Banks. . . . . . . . . . . . . . . 151 Jianzhong Wang Solution of Equation for Ruin Probability of Company for Some Risk Model by Monte Carlo Methods . . . . . . . . . . . . . . . . . . . . . . . . . 169 Kanat Shakenov Determinant Reprentation of Dardoux Transformation for the (2+1)-Dimensional Schrödinger-Maxwell-Bloch Equation. . . . . . 183 K.R. Yesmahanova, G.N. Shaikhova, G.T. Bekova and Zh.R. Myrzakulova Numerical Solution of Nonlinear Klein-Gordon Equation Using Polynomial Wavelets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199 Jalil Rashidinia and Mahmood Jokar A New Approach in Determining Lot Size in Supply Chain Using Game Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 215 Maryam Esmaeili Voronovskaya Type Asymptotic Expansions for Multivariate Generalized Discrete Singular Operators . . . . . . . . . . . . . . . . . . . . . . . 233 George A. Anastassiou and Merve Kester Variational Analysis of a Quasistatic Contact Problem . . . . . . . . . . . . . 245 Mircea Sofonea Efficient Lower Bounds for Packing Problems in Heterogeneous Bins with Conflicts Constraint. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 263 Mohamed Maiza, Mohammed Said Radjef and Lakhdar Sais Global Existence, Uniqueness and Asymptotic Behavior for a Nonlinear Parabolic System . . . . . . . . . . . . . . . . . . . . . . . . . . . . 271 Naima Aïssa and H. Tsamda Mathematical Analysis of a Continuous Crystallization Process. . . . . . . 283 Amira Rachah and Dominikus Noll Wave Velocity Estimation in Heterogeneous Media. . . . . . . . . . . . . . . . 303 Sharefa Asiri and Taous-Meriem Laleg-Kirati Asymptotic Rate for Weak Convergence of the Distribution of Renewal-Reward Process with a Generalized Reflecting Barrier . . . . 313 Tahir Khaniyev, Başak Gever and Zulfiye Hanalioglu
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