JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS VOLUME 21, 2016

1256 Pages·21.314 MB·English

Volume 21, Number 1 July 2016
ISSN:1521-1398 PRINT,1572-9206 ONLINE

Journal of

Computational

Analysis and

Applications

EUDOXUS PRESS,LLC
1
Journal of Computational Analysis and Applications
ISSNno.’s:1521-1398 PRINT,1572-9206 ONLINE
SCOPE OF THE JOURNAL
An international publication of Eudoxus Press, LLC
(fourteen times annually)
Editor in Chief: George Anastassiou
Department of Mathematical Sciences,
University of Memphis, Memphis, TN 38152-3240, U.S.A
[email protected]
http://www.msci.memphis.edu/~ganastss/jocaaa
The main purpose of "J.Computational Analysis and Applications"
is to publish high quality research articles from all subareas of
Computational Mathematical Analysis and its many potential
applications and connections to other areas of Mathematical
Sciences. Any paper whose approach and proofs are computational,using
methods from Mathematical Analysis in the broadest sense is suitable
and welcome for consideration in our journal, except from Applied
Numerical Analysis articles. Also plain word articles without formulas and
proofs are excluded. The list of possibly connected
mathematical areas with this publication includes, but is not
restricted to: Applied Analysis, Applied Functional Analysis,
Approximation Theory, Asymptotic Analysis, Difference Equations,
Differential Equations, Partial Differential Equations, Fourier
Analysis, Fractals, Fuzzy Sets, Harmonic Analysis, Inequalities,
Integral Equations, Measure Theory, Moment Theory, Neural Networks,
Numerical Functional Analysis, Potential Theory, Probability Theory,
Real and Complex Analysis, Signal Analysis, Special Functions,
Splines, Stochastic Analysis, Stochastic Processes, Summability,
Tomography, Wavelets, any combination of the above, e.t.c.
"J.Computational Analysis and Applications" is a
peer-reviewed Journal. See the instructions for preparation and submission
of articles to JoCAAA. Assistant to the Editor:
Dr.Razvan Mezei,Lenoir-Rhyne University,Hickory,NC 28601, USA.
Journal of Computational Analysis and Applications(JoCAAA) is published by
EUDOXUS PRESS,LLC,1424 Beaver Trail
Drive,Cordova,TN38016,USA,[email protected]
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Copyright©2016 by Eudoxus Press,LLC,all rights reserved.JoCAAA is printed in USA.
JoCAAA is reviewed and abstracted by AMS Mathematical
Reviews,MATHSCI,and Zentralblaat MATH.
It is strictly prohibited the reproduction and transmission of any part of JoCAAA 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.
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Editorial Board
Associate Editors of Journal of Computational Analysis and Applications

Francesco Altomare Fractional Differential Equations
Dipartimento di Matematica Nonlinear Analysis, Fractional
Universita' di Bari Dynamics
Via E.Orabona, 4
70125 Bari, ITALY Carlo Bardaro
Tel[phone] office Dipartimento di Matematica e
[phone] home Informatica
[phone] Fax Universita di Perugia
[email protected] Via Vanvitelli 1
Approximation Theory, Functional 06123 Perugia, ITALY
Analysis, Semigroups and Partial TEL[phone]
Differential Equations, Positive [phone]
Operators. FAX[phone]
E-mail [email protected]
Ravi P. Agarwal Web site:
Department of Mathematics http://www.unipg.it/~bardaro/
Texas A&M University - Kingsville Functional Analysis and
700 University Blvd. Approximation Theory, Signal
Kingsville, TX 78363-8202 Analysis, Measure Theory, Real
tel: [phone] Analysis.
[email protected]
Differential Equations, Difference Martin Bohner
Equations, Inequalities Department of Mathematics and
Statistics, Missouri S&T
George A. Anastassiou Rolla, MO 65409-0020, USA
Department of Mathematical Sciences [email protected]
The University of Memphis web.mst.edu/~bohner
Memphis, TN 38152,U.S.A Difference equations, differential
Tel.[phone] equations, dynamic equations on
e-mail: [email protected] time scale, applications in
Approximation Theory, Real economics, finance, biology.
Analysis,
Wavelets, Neural Networks, Jerry L. Bona
Probability, Inequalities. Department of Mathematics
The University of Illinois at
J. Marshall Ash Chicago
Department of Mathematics 851 S. Morgan St. CS 249
De Paul University Chicago, IL 60601
2219 North Kenmore Ave. e-mail:[email protected]
Chicago, IL 60614-3504 Partial Differential Equations,
773-325-4216 Fluid Dynamics
e-mail: [email protected]
Real and Harmonic Analysis Luis A. Caffarelli
Department of Mathematics
Dumitru Baleanu The University of Texas at Austin
Department of Mathematics and Austin, Texas 78712-1082
Computer Sciences, 512-471-3160
Cankaya University, Faculty of Art e-mail: [email protected]
and Sciences, Partial Differential Equations
06530 Balgat, Ankara, George Cybenko
Turkey, [email protected] Thayer School of Engineering
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Dartmouth College Partial Differential Equations,
8000 Cummings Hall, Semigroups of Operators
Hanover, NH 03755-8000
603-646-3843 (X 3546 Secr.) H. H. Gonska
e-mail:[email protected] Department of Mathematics
Approximation Theory and Neural University of Duisburg
Networks Duisburg, D-47048
Germany
Sever S. Dragomir 011-49-203-379-3542
School of Computer Science and e-mail: [email protected]
Mathematics, Victoria University, Approximation Theory, Computer
PO Box 14428, Aided Geometric Design
Melbourne City,
MC 8001, AUSTRALIA John R. Graef
Tel. [phone] Department of Mathematics
Fax [phone] University of Tennessee at
[email protected] Chattanooga
Inequalities, Functional Analysis, Chattanooga, TN 37304 USA
Numerical Analysis, Approximations, [email protected]
Information Theory, Stochastics. Ordinary and functional
differential equations, difference
Oktay Duman equations, impulsive systems,
TOBB University of Economics and differential inclusions, dynamic
Technology, equations on time scales, control
Department of Mathematics, TR- theory and their applications
06530,
Ankara, Turkey, Weimin Han
[email protected] Department of Mathematics
Classical Approximation Theory, University of Iowa
Summability Theory, Statistical Iowa City, IA 52242-1419
Convergence and its Applications 319-335-0770
e-mail: [email protected]
Saber N. Elaydi Numerical analysis, Finite element
Department Of Mathematics method, Numerical PDE, Variational
Trinity University inequalities, Computational
715 Stadium Dr. mechanics
San Antonio, TX 78212-7200
210-736-8246 Tian-Xiao He
e-mail: [email protected] Department of Mathematics and
Ordinary Differential Equations, Computer Science
Difference Equations P.O. Box 2900, Illinois Wesleyan
University
Christodoulos A. Floudas Bloomington, IL 61702-2900, USA
Department of Chemical Engineering Tel [phone]
Princeton University Fax [phone]
Princeton,NJ 08544-5263 [email protected]
609-258-4595(x4619 assistant) Approximations, Wavelet,
e-mail: [email protected] Integration Theory, Numerical
Optimization Theory&Applications, Analysis, Analytic Combinatorics
Global Optimization
Margareta Heilmann
J .A. Goldstein Faculty of Mathematics and Natural
Department of Mathematical Sciences Sciences, University of Wuppertal
The University of Memphis Gaußstraße 20
Memphis, TN 38152 D-42119 Wuppertal, Germany,
901-678-3130 [email protected]
[email protected]
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Approximation Theory (Positive Hrushikesh N. Mhaskar
Linear Operators) Department Of Mathematics
California State University
Xing-Biao Hu Los Angeles, CA 90032
Institute of Computational 626-914-7002
Mathematics e-mail: [email protected]
AMSS, Chinese Academy of Sciences Orthogonal Polynomials,
Beijing, 100190, CHINA Approximation Theory, Splines,
[email protected] Wavelets, Neural Networks
Computational Mathematics
Ram N. Mohapatra
Jong Kyu Kim Department of Mathematics
Department of Mathematics University of Central Florida
Kyungnam University Orlando, FL 32816-1364
Masan Kyungnam,631-701,Korea tel.[phone]
Tel [phone] [email protected]
Fax [phone] Real and Complex Analysis,
[email protected] Approximation Th., Fourier
Nonlinear Functional Analysis, Analysis, Fuzzy Sets and Systems
Variational Inequalities, Nonlinear
Ergodic Theory, ODE, PDE, Gaston M. N'Guerekata
Functional Equations. Department of Mathematics
Morgan State University
Robert Kozma Baltimore, MD 21251, USA
Department of Mathematical Sciences tel: [phone]
The University of Memphis Fax [phone]
Memphis, TN 38152, USA Gaston.N'[email protected]
[email protected] [email protected]
Neural Networks, Reproducing Kernel Nonlinear Evolution Equations,
Hilbert Spaces, Abstract Harmonic Analysis,
Neural Percolation Theory Fractional Differential Equations,
Almost Periodicity & Almost
Mustafa Kulenovic Automorphy
Department of Mathematics
University of Rhode Island M.Zuhair Nashed
Kingston, RI 02881,USA Department Of Mathematics
[email protected] University of Central Florida
Differential and Difference PO Box 161364
Equations Orlando, FL 32816-1364
e-mail: [email protected]
Irena Lasiecka Inverse and Ill-Posed problems,
Department of Mathematical Sciences Numerical Functional Analysis,
University of Memphis Integral Equations, Optimization,
Memphis, TN 38152 Signal Analysis
PDE, Control Theory, Functional
Analysis, [email protected] Mubenga N. Nkashama
Department OF Mathematics
Burkhard Lenze University of Alabama at Birmingham
Fachbereich Informatik Birmingham, AL 35294-1170
Fachhochschule Dortmund 205-934-2154
University of Applied Sciences e-mail: [email protected]
Postfach 105018 Ordinary Differential Equations,
D-44047 Dortmund, Germany Partial Differential Equations
e-mail: [email protected]
Real Networks, Fourier Analysis, Vassilis Papanicolaou
Approximation Theory Department of Mathematics

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National Technical University of Approximation Theory, Banach
Athens spaces, Classical Analysis
Zografou campus, 157 80
Athens, Greece T. E. Simos
tel:: [phone] Department of Computer
Fax [phone] Science and Technology
[email protected] Faculty of Sciences and Technology
Partial Differential Equations, University of Peloponnese
Probability GR-221 00 Tripolis, Greece
Postal Address:
Choonkil Park 26 Menelaou St.
Department of Mathematics Anfithea - Paleon Faliron
Hanyang University GR-175 64 Athens, Greece
Seoul 133-791 [email protected]
S. Korea, [email protected] Numerical Analysis
Functional Equations
H. M. Srivastava
Svetlozar (Zari) Rachev, Department of Mathematics and
Professor of Finance, College of Statistics
Business, and Director of University of Victoria
Quantitative Finance Program, Victoria, British Columbia V8W 3R4
Department of Applied Mathematics & Canada
Statistics tel.[phone]; office,250-477-
Stonybrook University 6960 home, fax [phone]
312 Harriman Hall, Stony Brook, NY [email protected]
11794-3775 Real and Complex Analysis,

tel:[phone], Fractional Calculus and Appl.,
[email protected] Integral Equations and Transforms,
Higher Transcendental Functions and
Alexander G. Ramm Appl.,q-Series and q-Polynomials,
Mathematics Department Analytic Number Th.
Kansas State University
Manhattan, KS 66506-2602 I. P. Stavroulakis
e-mail: [email protected] Department of Mathematics
Inverse and Ill-posed Problems, University of Ioannina
Scattering Theory, Operator Theory, 451-10 Ioannina, Greece
Theoretical Numerical Analysis, [email protected]
Wave Propagation, Signal Processing Differential Equations
and Tomography Phone [phone]

Tomasz Rychlik Manfred Tasche
Polish Academy of Sciences Department of Mathematics
Instytut Matematyczny PAN University of Rostock
00-956 Warszawa, skr. poczt. 21 D-18051 Rostock, Germany
ul. Śniadeckich 8 [email protected]
Poland rostock.de
[email protected] Numerical Fourier Analysis, Fourier
Mathematical Statistics, Analysis, Harmonic Analysis, Signal
Probabilistic Inequalities Analysis, Spectral Methods,
Wavelets, Splines, Approximation
Boris Shekhtman Theory
Department of Mathematics
University of South Florida Roberto Triggiani
Tampa, FL 33620, USA Department of Mathematical Sciences
Tel [phone] University of Memphis
[email protected] Memphis, TN 38152
PDE, Control Theory, Functional
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Analysis, [email protected] USA.
Tel [phone] office
678-642-8703 home
Juan J. Trujillo Fax [phone]
University of La Laguna [email protected]
Departamento de Analisis Matematico Approximation Theory, Chebychev
C/Astr.Fco.Sanchez s/n Systems, Wavelet Theory
38271. LaLaguna. Tenerife.
SPAIN Ahmed I. Zayed
Tel/Fax [phone] Department of Mathematical Sciences
[email protected] DePaul University
Fractional: Differential Equations- 2320 N. Kenmore Ave.
Operators-Fourier Transforms, Chicago, IL 60614-3250
Special functions, Approximations, 773-325-7808
and Applications e-mail: [email protected]
Shannon sampling theory, Harmonic
Ram Verma analysis and wavelets, Special
International Publications functions and orthogonal
1200 Dallas Drive #824 Denton, polynomials, Integral transforms
TX 76205, USA
[email protected] Ding-Xuan Zhou
Applied Nonlinear Analysis, Department Of Mathematics
Numerical Analysis, Variational City University of Hong Kong
Inequalities, Optimization Theory, 83 Tat Chee Avenue
Computational Mathematics, Operator Kowloon, Hong Kong
Theory 852-2788 9708,Fax:[phone]
e-mail: [email protected]
Xiang Ming Yu Approximation Theory, Spline
Department of Mathematical Sciences functions, Wavelets
Southwest Missouri State University

Springfield, MO 65804-0094 Xin-long Zhou
417-836-5931 Fachbereich Mathematik, Fachgebiet
[email protected] Informatik
Classical Approximation Theory, Gerhard-Mercator-Universitat
Wavelets Duisburg
Lotharstr.65, D-47048 Duisburg,
Lotfi A. Zadeh Germany
Professor in the Graduate School e-mail:[email protected]
and Director, Computer Initiative, duisburg.de
Soft Computing (BISC) Fourier Analysis, Computer-Aided
Computer Science Division Geometric Design, Computational
University of California at Complexity, Multivariate
Berkeley Approximation Theory, Approximation
Berkeley, CA 94720 and Interpolation Theory
Office: 510-642-4959
Sec: 510-642-8271
Home: 510-526-2569
FAX: [phone]
[email protected]
Fuzzyness, Artificial Intelligence,
Natural language processing, Fuzzy
logic

Richard A. Zalik
Department of Mathematics
Auburn University
Auburn University, AL 36849-5310
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Instructions to Contributors
Journal of Computational Analysis and Applications
An 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
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name of publication, volume number, inclusive pages, and year of publication.

Authors should follow these examples:

Journal Article

1. H.H.Gonska,Degree of simultaneous approximation of bivariate functions by Gordon operators,
(journal name in italics) J. Approx. Theory, 62,170-191(1990).

Book

2. G.G.Lorentz, (title of book in italics) Bernstein Polynomials (2nd ed.), Chelsea,New York,1986.

Contribution to a Book

3. M.K.Khan, Approximation properties of beta operators,in(title of book in italics) Progress in
Approximation Theory (P.Nevai and A.Pinkus,eds.), Academic Press, New York,1991,pp.483-495.

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