VOLUME 11, NUMBER 1 JANUARY 2013 ISSN:1548-5390 PRINT,1559-176X ONLINE JOURNAL OF CONCRETE AND APPLICABLE MATHEMATICS EUDOXUS PRESS,LLC GUEST EDITORS: O. DUMAN, E. ERKUS-DUMAN SPECIAL ISSUE I: “APPLIED MATHEMATICS -APPROXIMATION THEORY 2012” 1 SCOPE AND PRICES OF THE JOURNAL Journal of Concrete and Applicable Mathematics A quartely international publication of Eudoxus Press,LLC Editor in Chief: George Anastassiou Department of Mathematical Sciences, University of Memphis Memphis, TN 38152, U.S.A. [email protected] Assistant to the Editor:Dr.Razvan Mezei,Lander University,SC 29649, USA. The main purpose of the "Journal of Concrete and Applicable Mathematics" is to publish high quality original research articles from all subareas of Non-Pure and/or Applicable Mathematics and its many real life applications, as well connections to other areas of Mathematical Sciences, as long as they are presented in a Concrete way. It welcomes also related research survey articles and book reviews.A sample list of connected mathematical areas with this publication includes and is not restricted to: Applied Analysis, Applied Functional Analysis, Probability theory, Stochastic Processes, Approximation Theory, O.D.E, P.D.E, Wavelet, Neural Networks,Difference Equations, Summability, Fractals, Special Functions, Splines, Asymptotic Analysis, Fractional Analysis, Inequalities, Moment Theory, Numerical Functional Analysis,Tomography, Asymptotic Expansions, Fourier Analysis, Applied Harmonic Analysis, Integral Equations, Signal Analysis, Numerical Analysis, Optimization, Operations Research, Linear Programming, Fuzzyness, Mathematical Finance, Stochastic Analysis, Game Theory, Math.Physics aspects, Applied Real and Complex Analysis, Computational Number Theory, Graph Theory, Combinatorics, Computer Science Math.related topics,combinations of the above, etc. In general any kind of Concretely presented Mathematics which is Applicable fits to the scope of this journal. Working Concretely and in Applicable Mathematics has become a main trend in many recent years,so we can understand better and deeper and solve the important problems of our real and scientific world. "Journal of Concrete and Applicable Mathematics" is a peer- reviewed International Quarterly Journal. We are calling for papers for possible publication. The contributor should send via email the contribution to the editor in-Chief: TEX or LATEX (typed double spaced) and PDF files. [ See: Instructions to Contributors] Journal of Concrete and Applicable Mathematics(JCAAM) ISSN:1548-5390 PRINT, 1559-176X ONLINE. is published in January,April,July and October of each year by EUDOXUS PRESS,LLC, 1424 Beaver Trail Drive,Cordova,TN38016,USA, Tel.001-901-751-3553 [email protected] http://www.EudoxusPress.com. 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The charges are to be sent, by money order or certified check, in US dollars, payable to Eudoxus Press, LLC, to the address shown on the Eudoxus homepage. 3 Editorial Board Associate Editors of Journal of Concrete and Applicable Mathematics Editor in -Chief: 21) Gustavo Alberto Perla Menzala George Anastassiou National Laboratory of Scientific Computation Department of Mathematical Sciences LNCC/MCT The University Of Memphis Av. Getulio Vargas 333 Memphis,TN 38152,USA 25651-075 Petropolis, RJ tel.901-678-3144,fax 901-678-2480 Caixa Postal 95113, Brasil e-mail [email protected] and www.msci.memphis.edu/~ganastss Federal University of Rio de Janeiro Areas:Approximation Theory, Institute of Mathematics Probability,Moments,Wavelet, RJ, P.O. Box 68530 Rio de Janeiro, Brasil Neural Networks,Inequalities,Fuzzyness. [email protected] and [email protected] Phone 55-24-22336068, 55-21-25627513 Ext 224 Associate Editors: FAX 55-24-22315595 Hyperbolic and Parabolic Partial Differential 1) Ravi Agarwal Equations, Florida Institute of Technology Exact controllability, Nonlinear Lattices and Applied Mathematics Program Global 150 W.University Blvd. Attractors, Smart Materials Melbourne,FL 32901,USA [email protected] 22) Ram N.Mohapatra Differential Equations,Difference Department of Mathematics Equations, University of Central Florida Inequalities Orlando,FL 32816-1364 tel.407-823-5080 [email protected] 2) Carlo Bardaro Real and Complex analysis,Approximation Th., Dipartimento di Matematica & Informatica Fourier Analysis, Fuzzy Sets and Systems Universita' di Perugia Via Vanvitelli 1 23) Rainer Nagel 06123 Perugia,ITALY Arbeitsbereich Funktionalanalysis tel.+390755855034, +390755853822, Mathematisches Institut fax +390755855024 Auf der Morgenstelle 10 [email protected] , D-72076 Tuebingen [email protected] Germany Functional Analysis and Approximation tel.49-7071-2973242 Th., fax 49-7071-294322 Summability,Signal Analysis,Integral [email protected] Equations, evolution equations,semigroups,spectral th., Measure Th.,Real Analysis positivity 3) Francoise Bastin 24) Panos M.Pardalos Institute of Mathematics Center for Appl. Optimization University of Liege University of Florida 4000 Liege 303 Weil Hall BELGIUM P.O.Box 116595 [email protected] Gainesville,FL 32611-6595 Functional Analysis,Wavelets tel.352-392-9011 [email protected] 4) Yeol Je Cho Optimization,Operations Research 4 Department of Mathematics Education College of Education 25) Svetlozar T.Rachev Gyeongsang National University Dept.of Statistics and Applied Probability Chinju 660-701 Program KOREA University of California,Santa Barbara tel.055-751-5673 Office, CA 93106-3110,USA 055-755-3644 home, tel.805-893-4869 fax 055-751-6117 [email protected] [email protected] AND Nonlinear operator Th.,Inequalities, Chair of Econometrics and Statistics Geometry of Banach Spaces School of Economics and Business Engineering University of Karlsruhe 5) Sever S.Dragomir Kollegium am Schloss,Bau II,20.12,R210 School of Communications and Informatics Postfach 6980,D-76128,Karlsruhe,Germany Victoria University of Technology tel.011-49-721-608-7535 PO Box 14428 [email protected] Melbourne City M.C Mathematical and Empirical Finance, Victoria 8001,Australia Applied Probability, Statistics and Econometrics tel 61 3 9688 4437,fax 61 3 9688 4050 [email protected], 26) John Michael Rassias [email protected] University of Athens Math.Analysis,Inequalities,Approximation Pedagogical Department Th., Section of Mathematics and Infomatics Numerical Analysis, Geometry of Banach 20, Hippocratous Str., Athens, 106 80, Greece Spaces, Information Th. and Coding Address for Correspondence 4, Agamemnonos Str. Aghia Paraskevi, Athens, Attikis 15342 Greece 6) Oktay Duman [email protected] TOBB University of Economics and [email protected] Technology, Approximation Theory,Functional Equations, Department of Mathematics, TR-06530, Inequalities, PDE Ankara, Turkey, [email protected] Classical Approximation Theory, 27) Paolo Emilio Ricci Summability Theory, Universita' degli Studi di Roma "La Sapienza" Statistical Convergence and its Dipartimento di Matematica-Istituto Applications "G.Castelnuovo" P.le A.Moro,2-00185 Roma,ITALY tel.++39 0649913201,fax ++39 0644701007 7) Angelo Favini [email protected],[email protected] Università di Bologna Orthogonal Polynomials and Special functions, Dipartimento di Matematica Numerical Analysis, Transforms,Operational Piazza di Porta San Donato 5 Calculus, 40126 Bologna, ITALY Differential and Difference equations tel.++39 051 2094451 fax.++39 051 2094490 28) Cecil C.Rousseau [email protected] Department of Mathematical Sciences Partial Differential Equations, Control The University of Memphis Theory, Memphis,TN 38152,USA Differential Equations in Banach Spaces tel.901-678-2490,fax 901-678-2480 [email protected] 8) Claudio A. Fernandez Combinatorics,Graph Th., Facultad de Matematicas Asymptotic Approximations, Pontificia Unversidad Católica de Chile Applications to Physics Vicuna Mackenna 4860 Santiago, Chile 29) Tomasz Rychlik tel.++56 2 354 5922 5 fax.++56 2 552 5916 Institute of Mathematics [email protected] Polish Academy of Sciences Partial Differential Equations, Chopina 12,87100 Torun, Poland Mathematical Physics, [email protected] Scattering and Spectral Theory Mathematical Statistics,Probabilistic Inequalities 9) A.M.Fink Department of Mathematics 30) Bl. Sendov Iowa State University Institute of Mathematics and Informatics Ames,IA 50011-0001,USA Bulgarian Academy of Sciences tel.515-294-8150 Sofia 1090,Bulgaria [email protected] [email protected] Inequalities,Ordinary Differential Approximation Th.,Geometry of Polynomials, Equations Image Compression 10) Sorin Gal 31) Igor Shevchuk Department of Mathematics Faculty of Mathematics and Mechanics University of Oradea National Taras Shevchenko Str.Armatei Romane 5 University of Kyiv 3700 Oradea,Romania 252017 Kyiv [email protected] UKRAINE Approximation Th.,Fuzzyness,Complex [email protected] Analysis Approximation Theory 11) Jerome A.Goldstein 32) H.M.Srivastava Department of Mathematical Sciences Department of Mathematics and Statistics The University of Memphis, University of Victoria Memphis,TN 38152,USA Victoria,British Columbia V8W 3P4 tel.901-678-2484 Canada [email protected] tel.250-721-7455 office,250-477-6960 home, Partial Differential Equations, fax 250-721-8962 Semigroups of Operators [email protected] Real and Complex Analysis,Fractional Calculus 12) Heiner H.Gonska and Appl., Department of Mathematics Integral Equations and Transforms,Higher University of Duisburg Transcendental Duisburg,D-47048 Functions and Appl.,q-Series and q-Polynomials, Germany Analytic Number Th. tel.0049-203-379-3542 office [email protected] 33) Stevo Stevic Approximation Th.,Computer Aided Mathematical Institute of the Serbian Acad. of Geometric Design Science Knez Mihailova 35/I 13) Dmitry Khavinson 11000 Beograd, Serbia Department of Mathematical Sciences [email protected]; [email protected] University of Arkansas Complex Variables, Difference Equations, Fayetteville,AR 72701,USA Approximation Th., Inequalities tel.(479)575-6331,fax(479)575-8630 [email protected] 34) Ferenc Szidarovszky Potential Th.,Complex Dept.Systems and Industrial Engineering Analysis,Holomorphic PDE, The University of Arizona Approximation Th.,Function Th. Engineering Building,111 PO.Box 210020 14) Virginia S.Kiryakova Tucson,AZ 85721-0020,USA Institute of Mathematics and Informatics [email protected] Bulgarian Academy of Sciences Numerical Methods,Game Th.,Dynamic Systems, 6 Sofia 1090,Bulgaria Multicriteria Decision making, [email protected] Conflict Resolution,Applications Special Functions,Integral Transforms, in Economics and Natural Resources Fractional Calculus Management 15) Hans-Bernd Knoop 35) Gancho Tachev Institute of Mathematics Dept.of Mathematics Gerhard Mercator University Univ.of Architecture,Civil Eng. and Geodesy D-47048 Duisburg 1 Hr.Smirnenski blvd Germany BG-1421 Sofia,Bulgaria tel.0049-203-379-2676 [email protected] [email protected] Approximation Theory Approximation Theory,Interpolation 36) Manfred Tasche 16) Jerry Koliha Department of Mathematics Dept. of Mathematics & Statistics University of Rostock University of Melbourne D-18051 Rostock VIC 3010,Melbourne Germany Australia [email protected] [email protected] Approximation Th.,Wavelet,Fourier Analysis, Inequalities,Operator Theory, Numerical Methods,Signal Processing, Matrix Analysis,Generalized Inverses Image Processing,Harmonic Analysis 17) Robert Kozma 37) Chris P.Tsokos Dept. of Mathematical Sciences Department of Mathematics University of Memphis University of South Florida Memphis, TN 38152, USA 4202 E.Fowler Ave.,PHY 114 [email protected] Tampa,FL 33620-5700,USA Mathematical Learning Theory, [email protected],[email protected] Dynamic Systems and Chaos, Stochastic Systems,Biomathematics, Complex Dynamics. Environmental Systems,Reliability Th. 18) Mustafa Kulenovic 38) Lutz Volkmann Department of Mathematics Lehrstuhl II fuer Mathematik University of Rhode Island RWTH-Aachen Kingston,RI 02881,USA Templergraben 55 [email protected] D-52062 Aachen Differential and Difference Equations Germany [email protected] 19) Gerassimos Ladas Complex Analysis,Combinatorics,Graph Theory Department of Mathematics University of Rhode Island Kingston,RI 02881,USA [email protected] Differential and Difference Equations 20) Rupert Lasser Institut fur Biomathematik & Biomertie,GSF -National Research Center for environment and health Ingolstaedter landstr.1 D-85764 Neuherberg,Germany [email protected] Orthogonal Polynomials,Fourier Analysis,Mathematical Biology. 7 Instructions to Contributors Journal of Concrete and Applicable Mathematics A quartely international publication of Eudoxus Press, LLC, of TN. 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