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VOLUME 4,NUMBER 1 JANUARY 2006 ISSN:1548-5390 PRINT,1559-176X ONLINE JOURNAL OF CONCRETE AND APPLICABLE MATHEMATICS EUDOXUS PRESS,LLC 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] 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 three copies of the contribution to the editor in-Chief typed in TEX, LATEX double spaced. [ 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. Annual Subscription Current Prices:For USA and Canada,Institutional:Print $250,Electronic $220,Print and Electronic $310.Individual:Print $77,Electronic $60,Print &Electronic $110.For any other part of the world add $25 more to the above prices for Print. Single article PDF file for individual $8.Single issue in PDF form for individual $25. The journal carries page charges $8 per page of the pdf file of an article,payable upon acceptance of the article within one month and before publication. No credit card payments.Only certified check,money order or international check in US dollars are acceptable. Combination orders of any two from JoCAAA,JCAAM,JAFA receive 25% discount,all three receive 30% discount. Copyright©2004 by Eudoxus Press,LLC all rights reserved.JCAAM is printed in USA. JCAAM is reviewed and abstracted by AMS Mathematical Reviews,MATHSCI,and Zentralblaat MATH. It is strictly prohibited the reproduction and transmission of any part of JCAAM and in any form and by any means without the written permission of the publisher.It is only allowed to educators to Xerox articles for educational purposes.The publisher assumes no responsibility for the content of published papers. JCAAM IS A JOURNAL OF RAPID PUBLICATION Editorial Board Associate Editors Editor in -Chief: 19) Rupert Lasser George Anastassiou Institut fur Biomathematik & Biomertie,GSF Department of Mathematical Sciences -National Research Center for environment and The University Of Memphis health Memphis,TN 38152,USA Ingolstaedter landstr.1 tel.901-678-3144,fax 901-678-2480 D-85764 Neuherberg,Germany e-mail [email protected] [email protected] www.msci.memphis.edu/~ganastss/jcaam Orthogonal Polynomials,Fourier Analysis, Areas:Approximation Theory, Mathematical Biology Probability,Moments,Wavelet, Neural Networks,Inequalities,Fuzzyness. 20) Alexandru Lupas University of Sibiu Associate Editors: Faculty of Sciences Department of Mathematics 1) Ravi Agarwal Str.I.Ratiu nr.7 Florida Institute of Technology 2400-Sibiu,Romania Applied Mathematics Program [email protected] 150 W.University Blvd. Classical Analysis,Inequalities, Melbourne,FL 32901,USA Special Functions,Umbral Calculus, [email protected] Approximation Th.,Numerical Analysis Differential Equations,Difference and Methods Equations,inequalities 21) Ram N.Mohapatra Department of Mathematics 2) Shair Ahmad University of Central Florida University of Texas at San Antonio Orlando,FL 32816-1364 Division of Math.& Stat. tel.407-823-5080 San Antonio,TX 78249-0664,USA [email protected] [email protected] Real and Complex analysis,Approximation Th., Differential Equations,Mathematical Fourier Analysis, Fuzzy Sets and Systems Biology 22) Rainer Nagel 3) Drumi D.Bainov Arbeitsbereich Funktionalanalysis Medical University of Sofia Mathematisches Institut P.O.Box 45,1504 Sofia,Bulgaria Auf der Morgenstelle 10 [email protected] D-72076 Tuebingen Differential Equations,Optimal Control, Germany Numerical Analysis,Approximation Theory tel.49-7071-2973242 fax 49-7071-294322 4) Carlo Bardaro [email protected] Dipartimento di Matematica & Informatica evolution equations,semigroups,spectral th., Universita' di Perugia positivity Via Vanvitelli 1 06123 Perugia,ITALY 23) Panos M.Pardalos tel.+390755855034, +390755853822, Center for Appl. Optimization fax +390755855024 University of Florida [email protected] , 303 Weil Hall [email protected] P.O.Box 116595 Functional Analysis and Approximation Th., Gainesville,FL 32611-6595 Summability,Signal Analysis,Integral tel.352-392-9011 Equations, [email protected] Measure Th.,Real Analysis Optimization,Operations Research 5) Francoise Bastin 24) Svetlozar T.Rachev Institute of Mathematics Dept.of Statistics and Applied Probability University of Liege Program 4000 Liege University of California,Santa Barbara BELGIUM CA 93106-3110,USA [email protected] tel.805-893-4869 Functional Analysis,Wavelets [email protected] AND 6) Paul L.Butzer Chair of Econometrics and Statistics RWTH Aachen School of Economics and Business Engineering Lehrstuhl A fur Mathematik University of Karlsruhe D-52056 Aachen Kollegium am Schloss,Bau II,20.12,R210 Germany Postfach 6980,D-76128,Karlsruhe,Germany tel.0049/241/80-94627 office, tel.011-49-721-608-7535 0049/241/72833 home, [email protected] fax 0049/241/80-92212 Mathematical and Empirical Finance, [email protected] Applied Probability, Statistics and Econometrics Approximation Th.,Sampling Th.,Signals, Semigroups of Operators,Fourier Analysis 25) Paolo Emilio Ricci Universita' degli Studi di Roma "La Sapienza" 7) Yeol Je Cho Dipartimento di Matematica-Istituto Department of Mathematics Education "G.Castelnuovo" College of Education P.le A.Moro,2-00185 Roma,ITALY Gyeongsang National University tel.++39 0649913201,fax ++39 0644701007 Chinju 660-701 [email protected],[email protected] KOREA Orthogonal Polynomials and Special functions, tel.055-751-5673 Office, Numerical Analysis, Transforms,Operational 055-755-3644 home, Calculus, fax 055-751-6117 Differential and Difference equations [email protected] Nonlinear operator Th.,Inequalities, 26) Cecil C.Rousseau Geometry of Banach Spaces Department of Mathematical Sciences The University of Memphis 8) Sever S.Dragomir Memphis,TN 38152,USA School of Communications and Informatics tel.901-678-2490,fax 901-678-2480 Victoria University of Technology [email protected] PO Box 14428 Combinatorics,Graph Th., Melbourne City M.C Asymptotic Approximations, Victoria 8001,Australia Applications to Physics tel 61 3 9688 4437,fax 61 3 9688 4050 [email protected], 27) Tomasz Rychlik [email protected] Institute of Mathematics Math.Analysis,Inequalities,Approximation Polish Academy of Sciences Th., Chopina 12,87100 Torun, Poland Numerical Analysis, Geometry of Banach [email protected] Spaces, Mathematical Statistics,Probabilistic Information Th. and Coding Inequalities 9) A.M.Fink 28) Bl. Sendov Department of Mathematics Institute of Mathematics and Informatics Iowa State University Bulgarian Academy of Sciences Ames,IA 50011-0001,USA Sofia 1090,Bulgaria tel.515-294-8150 [email protected] [email protected] Approximation Th.,Geometry of Polynomials, Inequalities,Ordinary Differential Image Compression Equations 29) Igor Shevchuk 10) Sorin Gal Faculty of Mathematics and Mechanics Department of Mathematics National Taras Shevchenko University of Oradea University of Kyiv Str.Armatei Romane 5 252017 Kyiv 3700 Oradea,Romania UKRAINE [email protected] [email protected] Approximation Th.,Fuzzyness,Complex Approximation Theory Analysis 30) H.M.Srivastava 11) Jerome A.Goldstein Department of Mathematics and Statistics Department of Mathematical Sciences University of Victoria The University of Memphis, Victoria,British Columbia V8W 3P4 Memphis,TN 38152,USA Canada tel.901-678-2484 tel.250-721-7455 office,250-477-6960 home, [email protected] fax 250-721-8962 Partial Differential Equations, [email protected] Semigroups of Operators Real and Complex Analysis,Fractional Calculus and Appl., 12) Heiner H.Gonska Integral Equations and Transforms,Higher Department of Mathematics Transcendental University of Duisburg Functions and Appl.,q-Series and q-Polynomials, Duisburg,D-47048 Analytic Number Th. Germany tel.0049-203-379-3542 office 31) Ferenc Szidarovszky [email protected] Dept.Systems and Industrial Engineering Approximation Th.,Computer Aided The University of Arizona Geometric Design Engineering Building,111 PO.Box 210020 13) Dmitry Khavinson Tucson,AZ 85721-0020,USA Department of Mathematical Sciences [email protected] University of Arkansas Numerical Methods,Game Th.,Dynamic Systems, Fayetteville,AR 72701,USA Multicriteria Decision making, tel.(479)575-6331,fax(479)575-8630 Conflict Resolution,Applications [email protected] in Economics and Natural Resources Potential Th.,Complex Analysis,Holomorphic Management PDE,Approximation Th.,Function Th. 32) Gancho Tachev 14) Virginia S.Kiryakova Dept.of Mathematics Institute of Mathematics and Informatics Univ.of Architecture,Civil Eng. and Geodesy Bulgarian Academy of Sciences 1 Hr.Smirnenski blvd Sofia 1090,Bulgaria BG-1421 Sofia,Bulgaria [email protected] Approximation Theory Special Functions,Integral Transforms, Fractional Calculus 33) Manfred Tasche Department of Mathematics 15) Hans-Bernd Knoop University of Rostock Institute of Mathematics D-18051 Rostock Gerhard Mercator University Germany D-47048 Duisburg [email protected] Germany Approximation Th.,Wavelet,Fourier Analysis, tel.0049-203-379-2676 Numerical Methods,Signal Processing, [email protected] Image Processing,Harmonic Analysis Approximation Theory,Interpolation 34) Chris P.Tsokos 16) Jerry Koliha Department of Mathematics Dept. of Mathematics & Statistics University of South Florida University of Melbourne 4202 E.Fowler Ave.,PHY 114 VIC 3010,Melbourne Tampa,FL 33620-5700,USA Australia [email protected],[email protected] [email protected] Stochastic Systems,Biomathematics, Inequalities,Operator Theory, Environmental Systems,Reliability Th. Matrix Analysis,Generalized Inverses 35) Lutz Volkmann 17) Mustafa Kulenovic Lehrstuhl II fuer Mathematik Department of Mathematics RWTH-Aachen University of Rhode Island Templergraben 55 Kingston,RI 02881,USA D-52062 Aachen [email protected] Germany Differential and Difference Equations [email protected] Complex Analysis,Combinatorics,Graph Theory 18) Gerassimos Ladas Department of Mathematics University of Rhode Island Kingston,RI 02881,USA [email protected] Differential and Difference Equations JOURNAL OF CONCRETE AND APPLICABLE MATHEMATICS,VOL.4,NO.1,9-32,2006,COPYRIGHT 2006 EUDOXUS 9 PRESS,LLC (cid:0)(cid:2)(cid:1)(cid:4)(cid:3)(cid:6)(cid:5) (cid:7)(cid:9)(cid:8)(cid:11)(cid:10)(cid:12)(cid:8)(cid:11)(cid:1)(cid:14)(cid:13)(cid:16)(cid:15)(cid:18)(cid:17)(cid:20)(cid:19)(cid:11)(cid:8)(cid:11)(cid:21) (cid:22)(cid:23)(cid:8) (cid:7)(cid:24)(cid:17)(cid:25)(cid:3)(cid:26)(cid:1)(cid:28)(cid:27)(cid:29)(cid:17)(cid:31)(cid:30)! 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