JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS VOLUME 24, 2018

1580 Pages·29.988 MB·English

Volume 24, Number 1 January 2018
ISSN:1521-1398 PRINT,1572-9206 ONLINE

Journal of

Computational

Analysis and

Applications

EUDOXUS PRESS,LLC
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
(sixteen 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,[email protected], Madison,WI,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©2018 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 011-49-203-379-3542
8000 Cummings Hall, e-mail: [email protected]
Hanover, NH 03755-8000 Approximation Theory, Computer
603-646-3843 (X 3546 Secr.) Aided Geometric Design
e-mail:[email protected]
Approximation Theory and Neural John R. Graef
Networks Department of Mathematics
University of Tennessee at
Sever S. Dragomir Chattanooga
School of Computer Science and Chattanooga, TN 37304 USA
Mathematics, Victoria University, [email protected]
PO Box 14428, Ordinary and functional
Melbourne City, differential equations, difference
MC 8001, AUSTRALIA equations, impulsive systems,
Tel. [phone] differential inclusions, dynamic
Fax [phone] equations on time scales, control
[email protected] theory and their applications
Inequalities, Functional Analysis,
Numerical Analysis, Approximations, Weimin Han
Information Theory, Stochastics. Department of Mathematics
University of Iowa
Oktay Duman Iowa City, IA 52242-1419
TOBB University of Economics and 319-335-0770
Technology, e-mail: [email protected]
Department of Mathematics, TR- Numerical analysis, Finite element
06530, method, Numerical PDE, Variational
Ankara, Turkey, inequalities, Computational
[email protected] mechanics
Classical Approximation Theory,
Summability Theory, Statistical Tian-Xiao He
Convergence and its Applications Department of Mathematics and
Computer Science
Saber N. Elaydi P.O. Box 2900, Illinois Wesleyan
Department Of Mathematics University
Trinity University Bloomington, IL 61702-2900, USA
715 Stadium Dr. Tel [phone]
San Antonio, TX 78212-7200 Fax [phone]
210-736-8246 [email protected]
e-mail: [email protected] Approximations, Wavelet,
Ordinary Differential Equations, Integration Theory, Numerical
Difference Equations Analysis, Analytic Combinatorics

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] Approximation Theory (Positive
Partial Differential Equations, Linear Operators)
Semigroups of Operators
Xing-Biao Hu
H. H. Gonska Institute of Computational
Department of Mathematics Mathematics
University of Duisburg AMSS, Chinese Academy of Sciences
Duisburg, D-47048 Beijing, 100190, CHINA
Germany [email protected]
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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
National Technical University of
Hrushikesh N. Mhaskar Athens
Department Of Mathematics Zografou campus, 157 80
California State University Athens, Greece
Los Angeles, CA 90032 tel:: [phone]
626-914-7002 Fax [phone]
e-mail: [email protected] [email protected]
Orthogonal Polynomials, Partial Differential Equations,
Approximation Theory, Splines, Probability
Wavelets, Neural Networks
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Choonkil Park Anfithea - Paleon Faliron
Department of Mathematics GR-175 64 Athens, Greece
Hanyang University [email protected]
Seoul 133-791 Numerical Analysis
S. Korea, [email protected]
Functional Equations H. M. Srivastava
Department of Mathematics and
Svetlozar (Zari) Rachev, Statistics
Professor of Finance, College of University of Victoria
Business, and Director of Victoria, British Columbia V8W 3R4
Quantitative Finance Program, Canada
Department of Applied Mathematics & tel.[phone]; office,250-477-
Statistics 6960 home, fax [phone]
Stonybrook University [email protected]
312 Harriman Hall, Stony Brook, NY Real and Complex Analysis,
11794-3775 Fractional Calculus and Appl.,

tel:[phone], Integral Equations and Transforms,
[email protected] Higher Transcendental Functions and
Appl.,q-Series and q-Polynomials,
Alexander G. Ramm Analytic Number Th.
Mathematics Department
Kansas State University I. P. Stavroulakis
Manhattan, KS 66506-2602 Department of Mathematics
e-mail: [email protected] University of Ioannina
Inverse and Ill-posed Problems, 451-10 Ioannina, Greece
Scattering Theory, Operator Theory, [email protected]
Theoretical Numerical Analysis, Differential Equations
Wave Propagation, Signal Processing Phone [phone]
and Tomography
Manfred Tasche
Tomasz Rychlik Department of Mathematics
Polish Academy of Sciences University of Rostock
Instytut Matematyczny PAN D-18051 Rostock, Germany
00-956 Warszawa, skr. poczt. 21 [email protected]
ul. Śniadeckich 8 rostock.de
Poland Numerical Fourier Analysis, Fourier
[email protected] Analysis, Harmonic Analysis, Signal
Mathematical Statistics, Analysis, Spectral Methods,
Probabilistic Inequalities Wavelets, Splines, Approximation
Theory
Boris Shekhtman
Department of Mathematics Roberto Triggiani
University of South Florida Department of Mathematical Sciences
Tampa, FL 33620, USA University of Memphis
Tel [phone] Memphis, TN 38152
[email protected] PDE, Control Theory, Functional
Approximation Theory, Banach Analysis, [email protected]
spaces, Classical Analysis

T. E. Simos Juan J. Trujillo
Department of Computer University of La Laguna
Science and Technology Departamento de Analisis Matematico
Faculty of Sciences and Technology C/Astr.Fco.Sanchez s/n
University of Peloponnese 38271. LaLaguna. Tenerife.
GR-221 00 Tripolis, Greece SPAIN
Postal Address: Tel/Fax [phone]
26 Menelaou St. [email protected]
6
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 Jessada Tariboon
Home: 510-526-2569 Department of Mathematics,
FAX: [phone]
King Mongkut's University of
[email protected]
Technology N. Bangkok
Fuzzyness, Artificial Intelligence,
Natural language processing, Fuzzy 1518 Pracharat 1 Rd., Wongsawang,
logic Bangsue, Bangkok, Thailand 10800
[email protected], Time scales,
Richard A. Zalik
Differential/Difference Equations,
Department of Mathematics
Fractional Differential Equations
Auburn University
Auburn University, AL 36849-5310
USA.
Tel [phone] office
678-642-8703 home
Fax [phone]
[email protected]
Approximation Theory, Chebychev
Systems, Wavelet Theory

Ahmed I. Zayed
Department of Mathematical Sciences
DePaul University
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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
submission to possibly handle it.

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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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