Intelligent Mathematics II: Applied Mathematics and Approximation Theory

504 Pages·2016·4.48 MB·English

by  George A. Anastassiou

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: [e-mail]
About this Series
Theseries“AdvancesinIntelligentSystemsandComputing”containspublicationsontheory,
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Chairman
Nikhil R. Pal,Indian Statistical Institute,Kolkata, India
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Rafael Bello,Universidad Central “Marta Abreu”deLasVillas, SantaClara, Cuba
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Emilio S.Corchado, University of Salamanca, Salamanca, Spain
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HaniHagras, University of Essex, Colchester, UK
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LászlóT. Kóczy, SzéchenyiIstván University, Győr,Hungary
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Chin-Teng Lin, National ChiaoTung University,Hsinchu, Taiwan
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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
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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