JOURNAL OF APPLIED FUNCTIONAL ANALYSIS 10 (2015)

346 Pages·5.017 MB·English

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Volume 10, Numbers 1-2 January-April 2015

ISSN:1559-1948 (PRINT), 1559-1956 (ONLINE)

EUDOXUS PRESS,LLC

JOURNAL OF
APPLIED FUNCTIONAL ANALYSIS
2
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,Lenoir-Rhyne University,Hickory,NC
28601, 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
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Tel.[phone]
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JAFA is reviewed and abstracted by AMS Mathematical Reviews,MATHSCI,and
Zentralblaat MATH.
It is strictly prohibited the reproduction and transmission of any part of JAFA 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.

JAFA IS A JOURNAL OF RAPID PUBLICATION
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Journal of Applied Functional Analysis
Editorial Board
Associate Editors

Editor in-Chief: 24) 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 [phone]
901-678-2480 Fax Fax [phone]
[email protected] [email protected]
Approximation [email protected]
Theory,Inequalities,Probability, Neural Network Models, Learning
Wavelet,Neural Networks,Fractional Calculus Neuro-Fuzzy Systems.

Associate Editors: 25) 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 [phone]
Tel[phone] office Fax [phone]
[phone] home [email protected]
[phone] Fax Real Analysis,Approximation Theory,
[email protected] Computational Algorithms.
Approximation Theory, Functional Analysis,
Semigroups and Partial Differential 26) Jong Kyu Kim
Equations, Department of Mathematics
Positive Operators. Kyungnam University
Masan Kyungnam,631-701,Korea
2) Angelo Alvino Tel [phone]
Dipartimento di Matematica e Applicazioni Fax [phone]
"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.
[phone]
[email protected], 27) 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
5
Tel.[phone]) Miroslav Krbec
Fax [phone] Mathematical Institute
[email protected] Academy of Sciences of Czech Republic
Approximation Theory, Functional Zitna 25
Analysis, Operator Theory. CZ-115 67 Praha 1
Czech Republic
4) Erik J.Balder Tel [phone]
Mathematical Institute Fax [phone]
Universiteit Utrecht [email protected]
P.O.Box 80 010 Function spaces,Real Analysis,Harmonic
3508 TA UTRECHT Analysis,Interpolation and
The Netherlands Extrapolation Theory,Fourier Analysis.
Tel.[phone]
Fax[phone]
[email protected] 29) Peter M.Maass
Control Theory, Optimization, Center for Industrial Mathematics
Convex Analysis, Measure Theory, Universitaet Bremen
Applications to Mathematical Bibliotheksstr.1,
Economics and Decision Theory. MZH 2250,
28359 Bremen
5) Carlo Bardaro Germany
Dipartimento di Matematica e Informatica Tel [phone]
Universita di Perugia Fax [phone]
Via Vanvitelli 1 [email protected]
06123 Perugia, ITALY Inverse problems,Wavelet Analysis and
TEL[phone] Operator Equations,Signal and Image
[phone] Processing.
FAX[phone]
E-mail [email protected] 30) Julian Musielak
Web site: http://www.unipg.it/~bardaro/ Faculty of Mathematics and Computer Science
Functional Analysis and Approximation Adam Mickiewicz University
Theory, Ul.Umultowska 87
Signal Analysis, Measure Theory, Real 61-614 Poznan
Analysis. Poland
Tel [phone]
6) Heinrich Begehr Fax [phone]
Freie Universitaet Berlin [email protected]
I. Mathematisches Institut, FU Berlin, Functional Analysis, Function Spaces,
Arnimallee 3,D 14195 Berlin Approximation Theory,Nonlinear Operators.
Germany,
Tel. [phone], office 31) Gaston M. N'Guerekata
[phone], Secretary Department of Mathematics
Fax [phone] Morgan State University
[email protected] Baltimore, MD 21251, USA
Complex and Functional Analytic tel:: [phone]
Methods in PDEs, Complex Analysis, Fax [phone]
History of Mathematics. Gaston.N'[email protected]
Nonlinear Evolution Equations,
7) Fernando Bombal Abstract Harmonic Analysis,
Departamento de Analisis Matematico Fractional Differential Equations,
Universidad Complutense Almost Periodicity & Almost Automorphy.
Plaza de Ciencias,3
28040 Madrid, SPAIN
Tel. [phone]) Vassilis Papanicolaou
Fax [phone] Department of Mathematics
[email protected] National Technical University of Athens
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Operators on Banach spaces, Zografou campus, 157 80
Tensor products of Banach spaces, Athens, Greece
Polymeasures, Function spaces. tel:: [phone]
Fax [phone]
8) Michele Campiti [email protected]
Department of Mathematics "E.De Giorgi" Partial Differential Equations,
University of Lecce Probability.
P.O. Box 193
Lecce,ITALY 33) Pier Luigi Papini
Tel. [phone] Dipartimento di Matematica
Fax [phone] Piazza di Porta S.Donato 5
[email protected] 40126 Bologna
Approximation Theory, ITALY
Semigroup Theory, Evolution problems, Fax [phone]
Differential Operators. [email protected]
Functional Analysis, Banach spaces,
9)Domenico Candeloro Approximation Theory.
Dipartimento di Matematica e Informatica
Universita degli Studi di Perugia 34) Svetlozar (Zari) Rachev, Professor of Finance,
Via Vanvitelli 1 College of Business,and
06123 Perugia Director of Quantitative Finance Program,
ITALY Department of Applied Mathematics & Statistics
Tel [phone]
Stonybrook University
[phone],
312 Harriman Hall, Stony Brook, NY 11794-3775
[phone]
Phone: [phone],
Fax [phone]
Email : [email protected]
[email protected]
Functional Analysis, Function spaces,
Measure and Integration Theory in 35) Paolo Emilio Ricci
Riesz spaces. Department of Mathematics
Rome University "La Sapienza"
10) Pietro Cerone P.le A.Moro,2-00185
School of Computer Science and Rome,ITALY
Mathematics, Faculty of Science, Tel ++3906-49913201 office
Engineering and Technology, ++3906-87136448 home
Victoria University Fax ++3906-44701007
P.O.14428,MCMC [email protected]
Melbourne,VIC 8001,AUSTRALIA [email protected]
Tel [phone] Special Functions, Integral and Discrete
Fax [phone] Transforms, Symbolic and Umbral Calculus,
[email protected] ODE, PDE,Asymptotics, Quadrature,
Approximations, Inequalities, Matrix Analysis.
Measure/Information Theory,
Numerical Analysis, Special Functions. 36) Silvia Romanelli
Dipartimento di Matematica
11)Michael Maurice Dodson Universita' di Bari
Department of Mathematics Via E.Orabona 4
University of York, 70125 Bari, ITALY.
York YO10 5DD, UK Tel (INT 0039)-080-544-2668 office
Tel [phone] 080-524-4476 home
Fax [phone] 340-6644186 mobile
[email protected] Fax -080-596-3612 Dept.
Harmonic Analysis and Applications to [email protected]
Signal Theory,Number Theory and PDEs and Applications to Biology and
Dynamical Systems. Finance, Semigroups of Operators.
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12) Sever S.Dragomir 37) Boris Shekhtman
School of Computer Science and Department of Mathematics
Mathematics, Victoria University, University of South Florida
PO Box 14428, Tampa, FL 33620,USA
Melbourne City, Tel [phone]
MC 8001,AUSTRALIA [email protected]
Tel. [phone] Approximation Theory, Banach spaces,
Fax [phone] Classical Analysis.
[email protected]
Inequalities,Functional Analysis, 38) Rudolf Stens
Numerical Analysis, Approximations, Lehrstuhl A fur Mathematik
Information Theory, Stochastics. RWTH Aachen
52056 Aachen
13) Oktay Duman Germany
TOBB University of Economics and Technology, Tel ++49 241 8094532
Fax ++49 241 8092212
Department of Mathematics, TR-06530, Ankara,
[email protected]
Turkey, [email protected]
Approximation Theory, Fourier Analysis,
Classical Approximation Theory, Summability
Harmonic Analysis, Sampling Theory.
Theory,
Statistical Convergence and its Applications 39) Juan J.Trujillo
University of La Laguna
Departamento de Analisis Matematico
14) Paulo J.S.G.Ferreira C/Astr.Fco.Sanchez s/n
Department of Electronica e 38271.LaLaguna.Tenerife.
Telecomunicacoes/IEETA SPAIN
Universidade de Aveiro Tel/Fax [phone]
3810-193 Aveiro [email protected]
PORTUGAL Fractional: Differential Equations-
Tel [phone] Operators-
Fax [phone] Fourier Transforms, Special functions,
[email protected] Approximations,and Applications.
Sampling and Signal Theory,
Approximations, Applied Fourier Analysis, 40) Tamaz Vashakmadze
Wavelet, Matrix Theory. I.Vekua Institute of Applied Mathematics
Tbilisi State University,
15) Gisele Ruiz Goldstein 2 University St. , 380043,Tbilisi, 43,
Department of Mathematical Sciences GEORGIA.
The University of Memphis Tel [phone] office
Memphis,TN 38152,USA. ([phone] office
Tel [phone] ([phone] home
Fax [phone] [email protected]
[email protected] [email protected]
PDEs, Mathematical Physics, Applied Functional Analysis, Numerical
Mathematical Geophysics. Analysis, Splines, Solid Mechanics.

16) Jerome A.Goldstein 41) Ram Verma
Department of Mathematical Sciences International Publications
The University of Memphis 5066 Jamieson Drive, Suite B-9,
Memphis,TN 38152,USA Toledo, Ohio 43613,USA.
Tel [phone] [email protected]
Fax [phone] [email protected]
[email protected] Applied Nonlinear Analysis, Numerical
PDEs,Semigroups of Operators, Analysis, Variational Inequalities,
Fluid Dynamics,Quantum Theory. Optimization Theory, Computational
Mathematics, Operator Theory.
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17) Heiner Gonska
Institute of Mathematics 42) Gianluca Vinti
University of Duisburg-Essen Dipartimento di Matematica e Informatica
Lotharstrasse 65 Universita di Perugia
D-47048 Duisburg Via Vanvitelli 1
Germany 06123 Perugia
Tel [phone] ITALY
Fax [phone] Tel [phone],
[email protected] [phone]
Approximation and Interpolation Theory, Fax [phone]
Computer Aided Geometric Design, [email protected]
Algorithms. Integral Operators, Function Spaces,
Approximation Theory, Signal Analysis.
18) Karlheinz Groechenig
Institute of Biomathematics and Biometry, 43) Ursula Westphal
GSF-National Research Center Institut Fuer Mathematik B
for Environment and Health Universitaet Hannover
Ingolstaedter Landstrasse 1 Welfengarten 1
D-85764 Neuherberg,Germany. 30167 Hannover,GERMANY
Tel [phone] Tel [phone]
Fax [phone] Fax [phone]
[email protected] [email protected]
Time-Frequency Analysis, Sampling Theory, Semigroups and Groups of Operators,
Banach spaces and Applications, Functional Calculus, Fractional Calculus,
Frame Theory. Abstract and Classical Approximation
Theory, Interpolation of Normed spaces.
19) Vijay Gupta
School of Applied Sciences 44) Ronald R.Yager
Netaji Subhas Institute of Technology Machine Intelligence Institute
Sector 3 Dwarka Iona College
New Delhi 110075, India New Rochelle,NY 10801,USA
e-mail: [email protected]; Tel [phone]
[email protected] Fax[phone]
Approximation Theory [email protected]
[email protected]
20) Weimin Han Fuzzy Mathematics, Neural Networks,
Department of Mathematics Reasoning,
University of Iowa Artificial Intelligence, Computer Science.
Iowa City, IA 52242-1419
319-335-0770 45) Richard A. Zalik
e-mail: [email protected] Department of Mathematics
Numerical analysis, Finite element method, Auburn University
Numerical PDE, Variational inequalities, Auburn University,AL 36849-5310
Computational mechanics USA.
Tel [phone] office
21) Tian-Xiao He 678-642-8703 home
Department of Mathematics and Fax [phone]
Computer Science [email protected]
P.O.Box 2900,Illinois Wesleyan University Approximation Theory,Chebychev Systems,
Bloomington,IL 61702-2900,USA Wavelet Theory.
Tel [phone]
Fax [phone]
[email protected]
Approximations,Wavelet, Integration Theory,
Numerical Analysis, Analytic Combinatorics.
9
22) Don Hong
Department of Mathematical Sciences
Middle Tennessee State University
1301 East Main St.
Room 0269, Blgd KOM
Murfreesboro, TN 37132-0001
Tel [phone]
[email protected]
Approximation Theory,Splines,Wavelet,
Stochastics, Mathematical Biology Theory.

23) Hubertus Th. Jongen
Department of Mathematics
RWTH Aachen
Templergraben 55
52056 Aachen
Germany
Tel [phone]
Fax [phone]
[email protected]
Parametric Optimization, Nonconvex
Optimization, Global Optimization.

NEW MEMBERS

46) Jianguo Huang
Department of Mathematics
Shanghai Jiao Tong University
Shanghai 200240
P.R. China
[email protected]
Numerical PDE’s
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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.
Tel. [phone]
e-mail: [email protected]

Authors may want to recommend an associate editor the most related to the
submission to possibly handle it.

Also authors may want to submit a list of six possible referees, to be used in case we
cannot find related referees by ourselves.

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