2014
5
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109
Arensirregularity of tensor product of Banach algebras
2
2
We introduce Banach algebras arising from tensor norms. By these Banach algebras we make Arensregular Banach algebras such that tensor product becomes irregular, where is tensor norm. Weillustrate injective tensor product, does not preserve bounded approximate identity and it is notalgebra norm.
1

1
8


T.
Yazdanpanah
aDepartment of Mathematics, Persian Gulf University, Boushehr, 75168, Iran.
aDepartment of Mathematics, Persian Gulf
Iran


R.
Gharibi
aDepartment of Mathematics, Persian Gulf University, Boushehr, 75168, Iran.
aDepartment of Mathematics, Persian Gulf
Iran
Certain subalgebras of Lipschitz algebras of infinitely differentiable functions and their maximal ideal spaces
2
2
We study an interesting class of Banach function algebras of innitely dierentiable functions onperfect, compact plane sets. These algebras were introduced by Honary and Mahyar in 1999, calledLipschitz algebras of innitely dierentiable functions and denoted by Lip(X;M; ), where X is aperfect, compact plane set, M = fMng1n=0 is a sequence of positive numbers such that M0 = 1 and(m+n)!Mm+n ( m!Mm)( n!Mn) for m; n 2 N [ f0g and 2 (0; 1]. Let d = lim sup( n!Mn)1n and Xd = fz 2 C :dist(z;X) dg. Let LipP;d(X;M; )[LipR;d(X;M; )] be the subalgebra of all f 2 Lip(X;M; )that can be approximated by the restriction to Xd of polynomials [rational functions with poles oXd]. We show that the maximal ideal space of LipP;d(X;M; ) is cXd, the polynomially convex hullof Xd, and the maximal ideal space of LipR;d(X;M; ) is Xd, for certain compact plane sets.. Usingsome formulae from combinatorial analysis, we nd the maximal ideal space of certain subalgebrasof Lipschitz algebras of innitely dierentiable functions.
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9
22


D.
Alimohammadi
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 3815688349, Arak, Iran.
Department of Mathematics, Faculty of Science,
Iran


F.
Nezamabadi
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 3815688349, Arak, Iran.
Department of Mathematics, Faculty of Science,
Iran
Ternary (sigma,tau,xi)derivations on Banach ternary algebras
2
2
Let A be a Banach ternary algebra over a scalar eld R or C and X be a Banach ternary Amodule.Let ; and be linear mappings on A, a linear mapping D : (A; [ ]A) ! (X; [ ]X) is called a ternary(; ; )derivation, ifD([xyz]A) = [D(x) (y)(z)]X + [(x)D(y)(z)]X + [(x) (y)D(z)]Xfor all x; y; z 2 A.In this paper, we investigate ternary (; ; )derivation on Banach ternary algebras, associatedwith the following functional equationf(x + y + z4) + f(3x y 4z4) + f(4x + 3z4) = 2f(x) :Moreover, we prove the generalized Ulam{Hyers stability of ternary (; ; )derivations on Banachternary algebras.
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23
35


M.
Eshaghi Gordji
Department of Mathematics, Semnan University, P. O. Box 35195363, Semnan, Iran.
Department of Mathematics, Semnan University,
Iran


F.
Farrokhzad
Department of Mathematics, Shahid Beheshti University, Tehran, Iran.
Department of Mathematics, Shahid Beheshti
Iran


S.A.R.
Hosseinioun
Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701, USA.
Department of Mathematical Sciences, University
Iran
Contractive maps in MustafaSims metric spaces
2
2
The xed point result in MustafaSims metrical structures obtained by Karapinar and Agarwal[Fixed Point Th. Appl., 2013, 2013:154] is deductible from a corresponding one stated in terms ofanticipative contractions over the associated (standard) metric space.
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36
53


M.
Turinici
"A. Myller" Mathematical Seminar, "A. I. Cuza" University, 700506 Iasi, Romania.
"A. Myller" Mathematical Seminar, "A. I.
Iran
Tripled partially ordered sets
2
2
In this paper, we introduce tripled partially ordered sets and monotone functions on tripled partiallyordered sets. Some basic properties on these new dened sets are studied and some examples forclarifying are given.
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54
63


M.
Eshaghi
Department of Mathematics, Semnan University, P. O. Box 35195363, Semnan, Iran
Department of Mathematics, Semnan University,
Iran


A.
Jabbari
Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran
Department of Mathematics, Ardabil Branch,
Iran


S.
Mohseni
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
Department of Mathematics, Faculty of Mathematical
Iran
A fixed point result for a new class of setvalued contractions
2
2
In this paper, we introduce a new class of setvalued contractions and obtain a xed point theoremfor such mappings in complete metric spaces. Our main result generalizes and improves many wellknown xed point theorems in the literature.
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64
70


A.
Sadeghi Hafjejani
Department of Mathematics, University of Shahrekord,
Shahrekord, 8818634141, Iran.
Department of Mathematics, University of
Iran


A.
Amini Harandi
Department of Mathematics, University of Shahrekord,
Shahrekord, 8818634141, Iran.
Department of Mathematics, University of
Iran
On a more accurate multiple Hilberttype inequality
2
2
By using EulerMaclaurin's summation formula and the way of real analysis, a more accurate multipleHilberttype inequality and the equivalent form are given. We also prove that the same constantfactor in the equivalent inequalities is the best possible.
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71
79


Q.
Huang
Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China.
Department of Mathematics, Guangdong University
Iran


B.
Yang
Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China.
Department of Mathematics, Guangdong University
Iran
A multidimensional discrete Hilberttype inequality
2
2
In this paper, by using the way of weight coecients and technique of real analysis, a multidimensionaldiscrete Hilberttype inequality with a best possible constant factor is given. The equivalentform, the operator expression with the norm are considered.
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80
88


B.
Yang
Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China.
Department of Mathematics, Guangdong University
Iran
A companion of Ostrowski's inequality for functions of bounded variation and applications
2
2
A companion of Ostrowski's inequality for functions of bounded variation and applications are given.
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89
97


S.S.
Dragomir
School of Computational & Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050,
South Africa.
School of Computational & Applied Mathematics,
Iran
Some new extensions of Hardy`s inequality
2
2
In this study, by a nonnegative homogeneous kernel k we prove some extensions of Hardy's inequalityin two and three dimensions
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98
109


A.R.
Moazzen
Department of Mathematics, Velayat University, Iranshahr, Iran.
Department of Mathematics, Velayat University,
Iran


R.
Lashkaripour
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.
Department of Mathematics, University of
Iran