Volume 7, Numbers 1-2 January-April 2012 ISSN:1559-1948 (PRINT), 1559-1956 (ONLINE) EUDOXUS PRESS,LLC JOURNAL OF APPLIED FUNCTIONAL ANALYSIS 1 SCOPE AND PRICES OF JOURNAL OF APPLIED FUNCTIONAL ANALYSIS A quartely international publication of EUDOXUS PRESS,LLC ISSN:1559-1948(PRINT),1559-1956(ONLINE) Editor in Chief: George Anastassiou Department of Mathematical Sciences The University of Memphis Memphis, TN 38152,USA E mail: [email protected] Assistant to the Editor:Dr.Razvan Mezei,Lander University,SC 29649, USA. -------------------------------------------------------------------------------- The purpose of the "Journal of Applied Functional Analysis"(JAFA) is to publish high quality original research articles, survey articles and book reviews from all subareas of Applied Functional Analysis in the broadest form plus from its applications and its connections to other topics of Mathematical Sciences. A sample list of connected mathematical areas with this publication includes but is not restricted to: Approximation Theory, Inequalities, Probability in Analysis, Wavelet Theory, Neural Networks, Fractional Analysis, Applied Functional Analysis and Applications, Signal Theory, Computational Real and Complex Analysis and Measure Theory, Sampling Theory, Semigroups of Operators, Positive Operators, ODEs, PDEs, Difference Equations, Rearrangements, Numerical Functional Analysis, Integral equations, Optimization Theory of all kinds, Operator Theory, Control Theory, Banach Spaces, Evolution Equations, Information Theory, Numerical Analysis, Stochastics, Applied Fourier Analysis, Matrix Theory, Mathematical Physics, Mathematical Geophysics, Fluid Dynamics, Quantum Theory. Interpolation in all forms, Computer Aided Geometric Design, Algorithms, Fuzzyness, Learning Theory, Splines, Mathematical Biology, Nonlinear Functional Analysis, Variational Inequalities, Nonlinear Ergodic Theory, Functional Equations, Function Spaces, Harmonic Analysis, Extrapolation Theory, Fourier Analysis, Inverse Problems, Operator Equations, Image Processing, Nonlinear Operators, Stochastic Processes, Mathematical Finance and Economics, Special Functions, Quadrature, Orthogonal Polynomials, Asymptotics, Symbolic and Umbral Calculus, Integral and Discrete Transforms, Chaos and Bifurcation, Nonlinear Dynamics, Solid Mechanics, Functional Calculus, Chebyshev Systems. Also are included combinations of the above topics. Working with Applied Functional Analysis Methods has become a main trend in recent years, so we can understand better and deeper and solve important problems of our real and scientific world. JAFA is a peer-reviewed International Quarterly Journal published by Eudoxus Press,LLC. We are calling for high quality papers for possible publication. The contributor should submit the contribution to the EDITOR in CHIEF in TEX or LATEX double spaced and ten point type size, also in PDF format. Article should be sent ONLY by E-MAIL [See: Instructions to Contributors] Journal of Applied Functional Analysis(JAFA) is published in January,April,July and October of each year by 2 EUDOXUS PRESS,LLC, 1424 Beaver Trail Drive,Cordova,TN38016,USA, Tel.001-901-751-3553 [email protected] http://www.EudoxusPress.com visit also http://www.msci.memphis.edu/~ganastss/jafa. Webmaster:Ray Clapsadle Annual Subscription Current Prices:For USA and Canada,Institutional:Print $400,Electronic $250,Print and Electronic $450.Individual:Print $ 150, Electronic $80,Print &Electronic $200.For any other part of the world add $50 more to the above prices for Print. 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JAFA IS A JOURNAL OF RAPID PUBLICATION 3 Journal of Applied Functional Analysis Editorial Board Associate Editors Editor in-Chief: 23) Nikolaos B.Karayiannis George A.Anastassiou Department of Electrical and Department of Mathematical Sciences Computer Engineering The University of Memphis N308 Engineering Building 1 Memphis,TN 38152,USA University of Houston 901-678-3144 office Houston,Texas 77204-4005 901-678-2482 secretary USA 901-751-3553 home Tel (713) 743-4436 901-678-2480 Fax Fax (713) 743-4444 [email protected] [email protected] Approximation [email protected] Theory,Inequalities,Probability, Neural Network Models, Learning Wavelet,Neural Networks,Fractional Calculus Neuro-Fuzzy Systems. Associate Editors: 24) Theodore Kilgore Department of Mathematics 1) Francesco Altomare Auburn University Dipartimento di Matematica 221 Parker Hall, Universita' di Bari Auburn University Via E.Orabona,4 Alabama 36849,USA 70125 Bari,ITALY Tel (334) 844-4620 Tel+39-080-5442690 office Fax (334) 844-6555 +39-080-3944046 home [email protected] +39-080-5963612 Fax Real Analysis,Approximation Theory, [email protected] Computational Algorithms. Approximation Theory, Functional Analysis, Semigroups and Partial Differential 25) Jong Kyu Kim Equations, Department of Mathematics Positive Operators. Kyungnam University Masan Kyungnam,631-701,Korea 2) Angelo Alvino Tel 82-(55)-249-2211 Dipartimento di Matematica e Applicazioni Fax 82-(55)-243-8609 "R.Caccioppoli" Complesso [email protected] Universitario Monte S. Angelo Nonlinear Functional Analysis,Variational Via Cintia Inequalities,Nonlinear Ergodic Theory, 80126 Napoli,ITALY ODE,PDE,Functional Equations. +39(0)81 675680 [email protected], 26) Robert Kozma [email protected] Department of Mathematical Sciences Rearrengements, Partial Differential The University of Memphis Equations. Memphis, TN 38152 USA [email protected] 3) Catalin Badea Neural Networks, Reproducing Kernel Hilbert UFR Mathematiques,Bat.M2, Spaces, Universite de Lille1 Neural Perculation Theory Cite Scientifique F-59655 Villeneuve d'Ascq,France 27) Miroslav Krbec 4 Tel.(+33)(0)3.20.43.42.18 Mathematical Institute Fax (+33)(0)3.20.43.43.02 Academy of Sciences of Czech Republic [email protected] Zitna 25 Approximation Theory, Functional CZ-115 67 Praha 1 Analysis, Operator Theory. Czech Republic Tel +420 222 090 743 4) Erik J.Balder Fax +420 222 211 638 Mathematical Institute [email protected] Universiteit Utrecht Function spaces,Real Analysis,Harmonic P.O.Box 80 010 Analysis,Interpolation and 3508 TA UTRECHT Extrapolation Theory,Fourier Analysis. The Netherlands Tel.+31 30 2531458 28) V. Lakshmikantham Fax+31 30 2518394 Department of Mathematical Sciences [email protected] Florida Institute of Technology Control Theory, Optimization, Melbourne, FL 32901 Convex Analysis, Measure Theory, e-mail: [email protected] Applications to Mathematical Ordinary and Partial Differential Equations, Economics and Decision Theory. Hybrid Systems, Nonlinear Analysis 5) Carlo Bardaro 29) Peter M.Maass Dipartimento di Matematica e Informatica Center for Industrial Mathematics Universita di Perugia Universitaet Bremen Via Vanvitelli 1 Bibliotheksstr.1, 06123 Perugia, ITALY MZH 2250, TEL+390755853822 28359 Bremen +390755855034 Germany FAX+390755855024 Tel +49 421 218 9497 E-mail [email protected] Fax +49 421 218 9562 Web site: http://www.unipg.it/~bardaro/ [email protected] Functional Analysis and Approximation Inverse problems,Wavelet Analysis and Theory, Operator Equations,Signal and Image Signal Analysis, Measure Theory, Real Processing. Analysis. 30) Julian Musielak 6) Heinrich Begehr Faculty of Mathematics and Computer Science Freie Universitaet Berlin Adam Mickiewicz University I. Mathematisches Institut, FU Berlin, Ul.Umultowska 87 Arnimallee 3,D 14195 Berlin 61-614 Poznan Germany, Poland Tel. +49-30-83875436, office Tel (48-61) 829 54 71 +49-30-83875374, Secretary Fax (48-61) 829 53 15 Fax +49-30-83875403 [email protected] [email protected] Functional Analysis, Function Spaces, Complex and Functional Analytic Approximation Theory,Nonlinear Operators. Methods in PDEs, Complex Analysis, History of Mathematics. 31) Gaston M. N'Guerekata Department of Mathematics 7) Fernando Bombal Morgan State University Departamento de Analisis Matematico Baltimore, MD 21251, USA Universidad Complutense tel:: 1-443-885-4373 Plaza de Ciencias,3 Fax 1-443-885-8216 28040 Madrid, SPAIN Gaston.N'[email protected] Tel. +34 91 394 5020 Nonlinear Evolution Equations, Fax +34 91 394 4726 Abstract Harmonic Analysis, [email protected] Fractional Differential Equations, 5 Operators on Banach spaces, Almost Periodicity & Almost Automorphy. Tensor products of Banach spaces, Polymeasures, Function spaces. 32) Vassilis Papanicolaou 8) Michele Campiti Department of Mathematics Department of Mathematics "E.De Giorgi" National Technical University of Athens University of Lecce Zografou campus, 157 80 P.O. Box 193 Athens, Greece Lecce,ITALY tel:: +30(210) 772 1722 Tel. +39 0832 297 432 Fax +30(210) 772 1775 Fax +39 0832 297 594 [email protected] [email protected] Partial Differential Equations, Approximation Theory, Probability. Semigroup Theory, Evolution problems, Differential Operators. 33) Pier Luigi Papini Dipartimento di Matematica 9)Domenico Candeloro Piazza di Porta S.Donato 5 Dipartimento di Matematica e Informatica 40126 Bologna Universita degli Studi di Perugia ITALY Via Vanvitelli 1 Fax +39(0)51 582528 06123 Perugia [email protected] ITALY Functional Analysis, Banach spaces, Tel +39(0)75 5855038 Approximation Theory. +39(0)75 5853822, +39(0)744 492936 34) Svetlozar T.Rachev Fax +39(0)75 5855024 Chair of Econometrics,Statistics [email protected] and Mathematical Finance Functional Analysis, Function spaces, School of Economics and Measure and Integration Theory in Business Engineering Riesz spaces. University of Karlsruhe Kollegium am Schloss, Bau II,20.12, R210 10) Pietro Cerone Postfach 6980, D-76128, School of Computer Science and Karlsruhe,GERMANY. Mathematics, Faculty of Science, Tel +49-721-608-7535, Engineering and Technology, +49-721-608-2042(s) Victoria University Fax +49-721-608-3811 P.O.14428,MCMC [email protected] Melbourne,VIC 8001,AUSTRALIA Second Affiliation: Tel +613 9688 4689 Dept.of Statistics and Applied Probability Fax +613 9688 4050 University of California at Santa Barbara [email protected] [email protected] Approximations, Inequalities, Probability,Stochastic Processes and Measure/Information Theory, Statistics,Financial Mathematics, Numerical Analysis, Special Functions. Mathematical Economics. 11)Michael Maurice Dodson 35) Paolo Emilio Ricci Department of Mathematics Department of Mathematics University of York, Rome University "La Sapienza" York YO10 5DD, UK P.le A.Moro,2-00185 Tel +44 1904 433098 Rome,ITALY Fax +44 1904 433071 Tel ++3906-49913201 office [email protected] ++3906-87136448 home Harmonic Analysis and Applications to Fax ++3906-44701007 Signal Theory,Number Theory and [email protected] Dynamical Systems. [email protected] Special Functions, Integral and Discrete 6 12) Sever S.Dragomir Transforms, Symbolic and Umbral Calculus, School of Computer Science and ODE, PDE,Asymptotics, Quadrature, Mathematics, Victoria University, Matrix Analysis. PO Box 14428, Melbourne City, 36) Silvia Romanelli MC 8001,AUSTRALIA Dipartimento di Matematica Tel. +61 3 9688 4437 Universita' di Bari Fax +61 3 9688 4050 Via E.Orabona 4 [email protected] 70125 Bari, ITALY. Inequalities,Functional Analysis, Tel (INT 0039)-080-544-2668 office Numerical Analysis, Approximations, 080-524-4476 home Information Theory, Stochastics. 340-6644186 mobile Fax -080-596-3612 Dept. 13) Paulo J.S.G.Ferreira [email protected] Department of Electronica e PDEs and Applications to Biology and Telecomunicacoes/IEETA Finance, Semigroups of Operators. Universidade de Aveiro 3810-193 Aveiro 37) Boris Shekhtman PORTUGAL Department of Mathematics Tel +351-234-370-503 University of South Florida Fax +351-234-370-545 Tampa, FL 33620,USA [email protected] Tel 813-974-9710 Sampling and Signal Theory, [email protected] Approximations, Applied Fourier Analysis, Approximation Theory, Banach spaces, Wavelet, Matrix Theory. Classical Analysis. 14) Gisele Ruiz Goldstein 38) Rudolf Stens Department of Mathematical Sciences Lehrstuhl A fur Mathematik The University of Memphis RWTH Aachen Memphis,TN 38152,USA. 52056 Aachen Tel 901-678-2513 Germany Fax 901-678-2480 Tel ++49 241 8094532 [email protected] Fax ++49 241 8092212 PDEs, Mathematical Physics, [email protected] Mathematical Geophysics. Approximation Theory, Fourier Analysis, Harmonic Analysis, Sampling Theory. 15) Jerome A.Goldstein Department of Mathematical Sciences 39) Juan J.Trujillo The University of Memphis University of La Laguna Memphis,TN 38152,USA Departamento de Analisis Matematico Tel 901-678-2484 C/Astr.Fco.Sanchez s/n Fax 901-678-2480 38271.LaLaguna.Tenerife. [email protected] SPAIN PDEs,Semigroups of Operators, Tel/Fax 34-922-318209 Fluid Dynamics,Quantum Theory. [email protected] Fractional: Differential Equations- 16) Heiner Gonska Operators- Institute of Mathematics Fourier Transforms, Special functions, University of Duisburg-Essen Approximations,and Applications. Lotharstrasse 65 D-47048 Duisburg 40) Tamaz Vashakmadze Germany I.Vekua Institute of Applied Mathematics Tel +49 203 379 3542 Tbilisi State University, Fax +49 203 379 1845 2 University St. , 380043,Tbilisi, 43, [email protected] GEORGIA. Approximation and Interpolation Theory, Tel (+99532) 30 30 40 office 7 Computer Aided Geometric Design, (+99532) 30 47 84 office Algorithms. (+99532) 23 09 18 home [email protected] 17) Karlheinz Groechenig [email protected] Institute of Biomathematics and Biometry, Applied Functional Analysis, Numerical GSF-National Research Center Analysis, Splines, Solid Mechanics. for Environment and Health Ingolstaedter Landstrasse 1 41) Ram Verma D-85764 Neuherberg,Germany. International Publications Tel 49-(0)-89-3187-2333 5066 Jamieson Drive, Suite B-9, Fax 49-(0)-89-3187-3369 Toledo, Ohio 43613,USA. [email protected] [email protected] Time-Frequency Analysis, Sampling Theory, [email protected] Banach spaces and Applications, Applied Nonlinear Analysis, Numerical Frame Theory. Analysis, Variational Inequalities, Optimization Theory, Computational 18) Vijay Gupta Mathematics, Operator Theory. School of Applied Sciences Netaji Subhas Institute of Technology 42) Gianluca Vinti Sector 3 Dwarka Dipartimento di Matematica e Informatica New Delhi 110075, India Universita di Perugia e-mail: [email protected]; Via Vanvitelli 1 [email protected] 06123 Perugia Approximation Theory ITALY Tel +39(0) 75 585 3822, 19) Weimin Han +39(0) 75 585 5032 Department of Mathematics Fax +39 (0) 75 585 3822 University of Iowa [email protected] Iowa City, IA 52242-1419 Integral Operators, Function Spaces, 319-335-0770 Approximation Theory, Signal Analysis. e-mail: [email protected] Numerical analysis, Finite element method, 43) Ursula Westphal Numerical PDE, Variational inequalities, Institut Fuer Mathematik B Computational mechanics Universitaet Hannover Welfengarten 1 20) Tian-Xiao He 30167 Hannover,GERMANY Department of Mathematics and Tel (+49) 511 762 3225 Computer Science Fax (+49) 511 762 3518 P.O.Box 2900,Illinois Wesleyan University [email protected] Bloomington,IL 61702-2900,USA Semigroups and Groups of Operators, Tel (309)556-3089 Functional Calculus, Fractional Calculus, Fax (309)556-3864 Abstract and Classical Approximation [email protected] Theory, Interpolation of Normed spaces. Approximations,Wavelet, Integration Theory, Numerical Analysis, Analytic Combinatorics. 44) Ronald R.Yager Machine Intelligence Institute 21) Don Hong Iona College Department of Mathematical Sciences New Rochelle,NY 10801,USA Middle Tennessee State University Tel (212) 249-2047 1301 East Main St. Fax(212) 249-1689 Room 0269, Blgd KOM [email protected] Murfreesboro, TN 37132-0001 [email protected] Tel (615) 904-8339 Fuzzy Mathematics, Neural Networks, [email protected] Reasoning, Approximation Theory,Splines,Wavelet, Artificial Intelligence, Computer Science. Stochastics, Mathematical Biology Theory. 8 45) Richard A. Zalik 22) Hubertus Th. Jongen Department of Mathematics Department of Mathematics Auburn University RWTH Aachen Auburn University,AL 36849-5310 Templergraben 55 USA. 52056 Aachen Tel 334-844-6557 office Germany 678-642-8703 home Tel +49 241 8094540 Fax 334-844-6555 Fax +49 241 8092390 [email protected] [email protected] Approximation Theory,Chebychev Systems, Parametric Optimization, Nonconvex Wavelet Theory. Optimization, Global Optimization. 9 Instructions to Contributors Journal of Applied Functional Analysis A quartely international publication of Eudoxus Press, LLC, of TN. Editor in Chief: George Anastassiou Department of Mathematical Sciences University of Memphis Memphis, TN 38152-3240, U.S.A. 1. Manuscripts files in Latex and PDF and in English, should be submitted via email to the Editor-in-Chief: Prof.George A. Anastassiou Department of Mathematical Sciences The University of Memphis Memphis,TN 38152, USA. 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