]>
2012
5
6
ISSN 2008-1898
82
Volterra composition operators from generally weighted Bloch spaces to Bloch-type spaces on the unit ball
Volterra composition operators from generally weighted Bloch spaces to Bloch-type spaces on the unit ball
en
en
Let \(\varphi\) be a holomorphic self-map of the open unit ball \( \mathbb{B}, g \in H(\mathbb{B})\). In this paper, the boundedness and
compactness of the Volterra composition operator \(T^\varphi_g\) from generally weighted Bloch spaces to Bloch-type
spaces are investigated.
412
417
Haiying
Li
College of Mathematics and Information Science
Henan Normal University
P. R. China
tslhy2001@yahoo.com.cn
Haixia
Zhang
College of Mathematics and Information Science
Henan Normal University
P. R. China
Volterra composition operator
generally weighted Bloch space
boundedness
compactness.
Article.1.pdf
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H. Li, P. Liu, Weighted compositioin operators between \(H^\infty\) and generally weighted Bloch spaces of polydisk, International Journal of Mathematics, 21(5) (2010), 687-699
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H. Li, P. Liu, Composition operators between generally weighted Bloch space and \(Q^q_{\log}\) space, Banach Journal of Mathematical Analysis, 3(1) (2009), 99-110
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H. Li, X. Yang, Products of integral-type and composition operators from generally weighted Bloch space to F(p; q; s) space, Filomat, 23(3) (2009), 231-241
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S. Li, Volterra composition operators between weighted Bergman spaces and Bloch type spaces , J. Korean Math. Soc., 45(1) (2008), 229-248
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S. Stević , Norm of weighted composition operators from Bloch space to \(H_\mu^\infty\) on the unit ball , Ars. Combin, 88 (2008), 125-127
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J. Xiao, Riemann-Stieltjes operators between weighted Bloch and Bergman spaces of the unit ball, J. London. Math. Soc. , 70(2) (2004), 199-214
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]
Generalized order of entire monogenic functions of slow growth
Generalized order of entire monogenic functions of slow growth
en
en
In the present paper we study the generalized growth of entire monogenic functions having slow growth.
The characterizations of generalized order of entire monogenic functions have been obtained in terms of
their Taylor's series coefficients.
418
425
Susheel
Kumar
Department of Mathematics
Central University of Himachal Pradesh
India
sus83dma@gmail.com
Kirandeep
Bala
Department of Mathematics
Central University of Himachal Pradesh
India
kirandeepbala86@gmail.com
Clifford algebra
Clifford analysis
Generalized Cauchy-Riemann system
Entire monogenic function
Generalized order.
Article.2.pdf
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[1]
D. Constales, R. De Almeida, R. S. Krausshar, On the growth type of entire monogenic functions, Arch. Math. , 88 (2007), 153-163
##[2]
D. Constales, R. De Almeida, R. S. Krausshar, On the relation between the growth and the Taylor coefficients of entire solutions to the higher dimensional Cauchy-Riemann system in \(\mathbb{R}^{n+1}\), J. Math. Anal. App. , 327 (2007), 763-775
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M. N. Seremeta, On the connection between the growth of the maximum modulus of an entire function and the moduli of the coefficients of its power series expansion , Amer. Math. Soc. Trans., 88 (1970), 291-301
]
An algorithm for solving zero-dimensional parametric systems of polynomial homogeneous equations
An algorithm for solving zero-dimensional parametric systems of polynomial homogeneous equations
en
en
This paper presents a new algorithm for solving zero-dimensional parametric systems of polynomial homogeneous
equations. This algorithm is based on the computation of what we call parametric U-resultants.
The parameters space, i.e., the set of values of the parameters is decomposed into a finite number of constructible
sets. The solutions of the input polynomial system are given uniformly in each constructible set
by Polynomial Univariate Representations. The complexity of this algorithm is single exponential in the
number n of the unknowns and the number r of the parameters.
426
438
Ali
Ayad
Équipe Algèbre et Combinatoire, EDST, Faculté des sciences--Section 1
Université libanaise
Liban
ayadali99100@hotmail.com
Ali
Fares
Équipe Algèbre et Combinatoire, EDST, Faculté des sciences--Section 1
Université libanaise
Liban
alikfares@yahoo.fr
Youssef
Ayyad
Équipe Algèbre et Combinatoire, EDST, Faculté des sciences--Section 1
Université libanaise
Liban
ayyadyoussef@hotmail.com
Symbolic computation
complexity analysis
theory of resultants
algebraic polynomial systems
parametric systems
Rational Univariate Representation
parametric Gaussian elimination.
Article.3.pdf
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]
Application of the infinite matrix theory to the solvability of a system of differential equations
Application of the infinite matrix theory to the solvability of a system of differential equations
en
en
In this paper we deal with the solvability of the infinite system of differential equations \(x'(t) = \Delta(\lambda)x(t) + b\) with
\(x(0) = a\), where \(\Delta(\lambda)\) is the triangle defined by the infinite matrix whose the nonzero entries are \([\Delta(\lambda)]_{nn} = \lambda_n\) and
\([\Delta(\lambda)]_{n,n-1} = \lambda_{n-1}\) for all \(n \in \mathbb{N}\), for a given sequence \(\lambda\) and \(a, b\) are two given infinite column matrices. We use a
new method based on Laplace transformations to solve this system.
439
447
Ali
Fares
Équipe Algèbre et Combinatoire, EDST, Faculté des sciences--Section 1
Université libanaise
Liban
alikfares@yahoo.fr
Ali
Ayad
Équipe Algèbre et Combinatoire, EDST, Faculté des sciences--Section 1
Université libanaise
Liban
ayadali99100@hotmail.com
Infinite linear systems of differential equations
systems of linear equations
Laplace operator.
Article.4.pdf
[
[1]
E. L. Ince, Periodic solutions of a linear differential equation of the second order, Proc. Cam. Philo. Soc., 23 (1926), 44-46
##[2]
K. C-L. Issic, P. N. Shivakumar , On the eigenvalue problem \(-y''+f(x)y = \lambda y\) on a semi infinite interval, Mathematical and Computer Modelling, 46 (2007), 316-330
##[3]
A. Farés, Contribution à l'étude des opérateurs dans des espaces de suites et applications à l'optimisation et aux systèmes différentiels, PhD thesis, University of Le Havre, France (2009)
##[4]
B. de Malafosse, Recent results in the infinite matrix theory and application to Hill equation, Demonstratio Matematica, 35 (2002), 11-26
##[5]
B. de Malafosse, An application of the infinite matrix theory to Mathieu equation , Comput. Math. Appl. , 52 (2006), 1439-1452
##[6]
J. T. Okutoyi , On the spectrum of \(C_1\) as operator on bv, Commun. Fac. Sci. Univ. Ank. Series A1, 41 (1992), 197-207
##[7]
H. Poincaré , Sur les déterminants d'ordre infini, Bull. Soc. Math. Fr., 14,87, (1886)
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##[10]
K. G. Valeev, On Hill's method in the theory of linear differential equations with periodic coefficients, J. Appl. Math. Mech., transl. of Prikl. MAT., 24 (1960), 1493-1505
]
Solvability of infinite differential systems of the form \(x' (t) =Tx(t)+b\) where \(T\) is either of the triangles \(C(\lambda)\) or \(\overline{N}_ q\)
Solvability of infinite differential systems of the form \(x' (t) =Tx(t)+b\) where \(T\) is either of the triangles \(C(\lambda)\) or \(\overline{N}_ q\)
en
en
In this paper, we are interested in solving infinite linear systems of differential equations of the form \(x' (t) =
Tx (t) + b\) with \(x(0) = x_0\); where \(T\) is either the generalized Cesàro operator \(C (\lambda)\) or the weighted mean
matrix \(\overline{N}_ q, x_0\) and b are two given infinite column matrices and \(\lambda\) is a sequence with non-zero entries. We
use a new method based on Laplace transformations to solve these systems.
448
458
Ali
Fares
Équipe Algèbre et Combinatoire, EDST, Faculté des sciences-- Section 1
Université libanaise
Liban
alikfares@yahoo.fr
Ali
Ayad
Équipe Algèbre et Combinatoire, EDST, Faculté des sciences--Section 1
Université libanaise
Liban
ayadali99100@hotmail.com
Infinite linear systems of differential equations
systems of linear equations
Laplace operator.
Article.5.pdf
[
[1]
B. de Malafosse, An application of the infinite matrix theory to Mathieu equation, Comput. Math. Appl. , 52 (2006), 1439-1452
##[2]
B. de Malafosse, Recent results in the infinite matrix theory and application to Hill equation, Demonstratio Matematica , 35 (2002), 11-26
##[3]
B. de Malafosse, On the spectrum Cesàro operator in the space sr. Faculté des sciences de l'université d'Ankara, Series Al Mathematics and statistics, 48 (1999), 53-71
##[4]
A. Farés, A. Ayad, Application of the infinite matrix theory to the solvability of a system of differential equations , J. Nonlinear Sci. Appl., 5 (2012), 439-447
##[5]
A. Farés, Contribution à l'étude des opérateurs dans des espaces de suites et applications à l'optimisation et aux systèmes différentiels, PhD thesis, University of Le Havre, France (2009)
##[6]
E. L. Ince, Periodic solutions of a linear differential equation of the second order, Proc. Cam. Philo. Soc., 23 (1926), 44-46
##[7]
K. C-L. Issic, P. N. Shivakumar , On the eigenvalue problem \(-y'' + f(x)y = \lambda y\) on a semi infinite interval , Mathematical and Computer Modelling , 46 (2007), 316-330
##[8]
J. T. Okutoyi , On the spectrum of \(C_1\) as operator on bv , Commun. Fac. Sci. Univ. Ank. Series A1, 41 (1992), 197-207
##[9]
H. Poincaré, Sur les déterminants d'ordre infini , Bull. Soc. Math. Fr., 14,87 (1886)
##[10]
J. B. Reade, On the spectrum of the Cesàro operator, Bull. London Math., Soc., 17 (1985), 263-267
##[11]
B. Rosseto, Détermination des exposants de Floquet de l'équation de Hill d'ordre n , Thèse de Doctorat d'Etat Es-Sciences, Univ. Toulon (1983)
##[12]
K. G. Valeev, On Hill's method in the theory of linear differential equations with periodic coefficients , J. Appl. Math. Mech., transl. of Prikl. MAT., 24 (1960), 1493-1505
]
Hyers-Ulam--Rassias stability of Pexiderized Cauchy functional equation in 2-Banach spaces
Hyers-Ulam--Rassias stability of Pexiderized Cauchy functional equation in 2-Banach spaces
en
en
In this paper, we investigate stability of the Pexiderized Cauchy functional equation in 2-Banach spaces and
pose an open problem.
459
465
G.
Zamani Eskandani
Faculty of Mathematical Science
University of Tabriz
Iran
zamani@tabrizu.ac.ir
P.
Gavruta
Department of Mathematics
University Politehnica of Timisoara
Romania
pgavruta@yahoo.com
Linear 2-normed space
Generalized Hyers-Ulam stability
Pexiderized Cauchy functional equation .
Article.6.pdf
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]
Hybrid projection algorithms for approximating fixed points of asymptotically quasi-pseudocontractive mappings
Hybrid projection algorithms for approximating fixed points of asymptotically quasi-pseudocontractive mappings
en
en
The purpose of this paper is to modify Ishikawa iterative process to have strong convergence without any
compact assumptions for asymptotically quasi-pseudocontractive mappings in the framework of real Hilbert
spaces.
466
474
Shin Min
Kang
Department of Mathematics and RINS
Gyeongsang National University
Korea
smkang@gnu.ac.kr
Sun Young
Cho
Department of Mathematics
Gyeongsang National University
Korea
ooly61@yahoo.co.kr
Xiaolong
Qin
Department of Mathematics
Hangzhou Normal University
China
qxlxajh@163.com
Asymptotically pseudocontractive mapping
asymptotically nonexpansive mapping
fixed point
hybrid projection algorithm.
Article.7.pdf
[
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G. L. Acedo, H. K. Xu, Iterative methods for strict pseudo-contractions in Hilbert spaces , Nonlinear Anal., 67 (2007), 2258-2271
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##[5]
T. H. Kim, H. K. Xu, Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups, Nonlinear Anal., 64 (2006), 1140-1152
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T. H. Kim, H. K. Xu , Convergence of the modified Mann's iteration method for asymptotically strict pseudo-contractions, Nonlinear Anal., 68 (2008), 2828-2836
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W. R. Mann, Mean value methods in iteration, Proc. Amer. Math. Soc., 4 (1953), 506-510
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G. Marino, H. K. Xu , Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces, J. Math. Anal. Appl., 329 (2007), 336-346
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Approximation algorithm for fixed points of nonlinear operators and solutions of mixed equilibrium problems and variational inclusion problems with applications
Approximation algorithm for fixed points of nonlinear operators and solutions of mixed equilibrium problems and variational inclusion problems with applications
en
en
The purpose of this paper is to introduce an iterative algorithm for finding a common element of the set
of fixed point of nonexpansive mappings, set of a mixed equilibrium problem and the set of variational
inclusions in a real Hilbert space. We prove that the sequence \(x_n\) which is generated by the proposed
iterative algorithm converges strongly to a common element of four sets above. Furthermore, we give an
application to optimization and some numerical examples which support our main theorem in the last part.
Our result extended and improve the existing result of Yao et al. [19] and references therein.
475
494
Uamporn
Witthayarat
Department of Mathematics, Faculty of Science
King Mongkut's University of Technology Thonburi
Thailand
u.witthayarat@hotmail.com
Yeol Je
Cho
Department of Mathematics Education and the RINS
Gyeongsang National University
Korea
yjcho@gnu.ac.kr
Poom
Kumam
Department of Mathematics, Faculty of Science
King Mongkut's University of Technology Thonburi
Thailand
poom.kum@kmutt.ac.th
Common fixed point
Equilibrium problem
Iterative algorithm
Nonexpansive mapping
Variational inequality.
Article.8.pdf
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