2006
30
2
2
0
AMENABILITY OF WEIGHTED MEASURE ALGEBRAS
2
2
Let G be a locally compact group, and let ω be a weight on G. We show that the weightedmeasure algebra M(G,ω) is amenable if and only if G is a discrete, amenable group andsup{ω(g) ω(g−1) : g ∈ G} < ∞, where ω(g) ≥ 1 (g ∈ G) .
1

153
156


E.
FEIZI
Faculty of Mathematics and Computer Science, Amirkabir University of
Technology, 424 Hafez Avenue, Tehran 15914, I. R. of Iran
Faculty of Mathematics and Computer Science,
Iran


A.
POURABBAS
2Faculty of Mathematics and Computer Science, Amirkabir University of
Technology, 424 Hafez Avenue, Tehran 15914, I. R. of Iran
2Faculty of Mathematics and Computer Science,
Iran
amenability
measure algebra
weight
SIMILARITY MEASURE FOR TWO DENSITIES
2
2
Scott and Szewczyk in Technometrics, 2001, have introduced a similarity measure for twodensities f1 and f2 , by1, 21 21 1 2 2( , ), ,f fsim f ff f f f< >=< >< >wheref1, f2 f1(x, θ1)f2(x, θ2)dx.+∞−∞< >=∫sim(f1, f2) has some appropriate properties that can be suitable measures for the similarity of f1 and f2 .However, due to some restrictions on the value of parameters and the kind of densities, discrete or continuous,it cannot be used in general.The purpose of this article is to give some other measures, based on modified Scott's measure, andKullback information, which may be better than sim(f1, f2) in some cases. The properties of these newmeasures are studied and some examples are provided.
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157
163


A. R.
SOLEIMANI
1Department of Statistics, College of Sciences, Shiraz University, 71454 Shiraz, I. R of Iran
1Department of Statistics, College of Sciences,
Iran


J.
BEHBOODIAN
Department of Mathematics, Shiraz Islamic Azad University, Shiraz, I. R of Iran
Department of Mathematics, Shiraz Islamic
Iran
behboodian@stat.susc.ac.ir,
Mixed model
similarity measure
kullback information
poisson distribution
normal distribution
NARY HYPERGROUPS
2
2
In this paper the class of nary hypergroups is introduced and several properties are found andexamples are presented. nary hypergroups are a generalization of hypergroups in the sense of Marty. On theother hand, we can consider nary hypergroups as a good generalization of nary groups. We define thefundamental relation β* on an nary hypergroup H as the smallest equivalence relation such that H / β* isthe nary group, and then some related properties are investigated.
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165
174


B.
DAVVAZ
1Department of Mathematics, Yazd University, Yazd, I. R. of Iran
1Department of Mathematics, Yazd University,
Iran


T.
VOUGIOUKLIS
School of Science and Education, Democritus University of Thrace, Alexandroupolis, Greece
School of Science and Education, Democritus
Greece
hypergroup
nary hypergroup
nary group
fundamental equivalence relation
SOME GENERALIZATIONS OF THE SEQUENCE SPACE rp a
2
2
In the present paper, the sequence space ar(u, p) of a nonabsolute type is introduced and it isproved that the space ar(u, p) is linearly isomorphic to the Maddox’s space (p).Besides this, the basis isconstructed and the α, β and γduals are computed for the space ar(u, p). Furthermore, some matrixmappings from ar(u, p) to some sequence spaces are characterized. The final section of the paper is devoted tosome consequences related to the rotundity of the space ar(u, p).
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175
190


C.
AYDIN
Kahramanmaras Sutcu Imam University, Faculty of Science and Arts, Kahramanmaras, 46100, Turkey
Kahramanmaras Sutcu Imam University, Faculty
Turkey


F.
BASAR
2Inonu University, Faculty of Education, Malatya, 44280, Turkey
2Inonu University, Faculty of Education,
Turkey
Paranormed sequence space
α
β and γduals
matrix mappings and rotundity of a sequence space
ON THE COUPLING OF FINITE AND BOUNDARY ELEMENT METHODS FOR THE HELMHOLTZ EQUATION
2
2
Finite and boundary element methods have been used by many authors to solve mathematicalphysics problems. However, the coupling of these two methods happens to be more efficient as it combinestheir merits. In this paper, the mathematical analysis of the coupling of finite and boundary element methodsfor the Helmholtz equation is presented.
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191
200


M.
BOUTEFNOUCHET
1Department of Mathematics & Physics, Faculty of Arts & Science,
University of Qatar, P. O. Box 2713, Doha, Qatar
1Department of Mathematics & Physics,
Qatar


A.
DJEBABLA
Department of Mathematics, Faculty of Science, University of Annaba, 23000, Annaba, Algeria
Department of Mathematics, Faculty of Science,
Algeria
Boundary element
boundary integral equation
finite element
Galerkin approximation
Helmholtz equation
symmetric method
THE ADOMIAN DECOMPOSITION METHOD FOR THE SOLUTION OF THE TRANSIENT ENERGY EQUATION IN ROCKS SUBJECTEDTO LASER IRRADIATION
2
2
A 2D heat conduction model has been solved by using the Adomian Decomposition Method topredict the transient temperature and heat flux distribution in a thick solid that is irradiated by a laser source.The laser source may operate in a continuous wave (CW) mode or repeated pulse (RP) mode and may havearbitrary, spatial and temporal profiles.A generalized solution containing fiveterms approximation of a rapidly convergent series is obtained.The solution is then applied to some special cases of practical interest, such as laser irradiation of sandstonesand limestones. Laser drilling of geologic formations is being considered by the petroleum industry in theforeseeable future. The 2D transient temperature distribution is presented in a graphical form and discussed.A comparison between the results obtained from the Adomian method and those obtained numerically byusing the CrankNicholson method is also presented.
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201
212


J.
BIAZAR
1Department of Mathematics, Guilan University, Rasht, P.O.Box 19145, I. R. of Iran
1Department of Mathematics, Guilan University,
Iran


R.
AGHA
Department of Civil and Resource Engineering, Dalhousie University, NS, Canada
Department of Civil and Resource Engineering,
Canada


ISLAM
M. R.
Department of Civil and Resource Engineering, Dalhousie University, NS, Canada
Department of Civil and Resource Engineering,
Canada
Adomian Decomposition Method
CrankNicholson method
laser irradiation
energy equation
SOME NEW STABILITY AND BOUNDEDNESS RESULTS ON THE SOLUTIONS OF THE NONLINEAR VECTOR DIFFERENTIAL EQUATIONS OF SECOND ORDER
2
2
In this paper, the stability and boundedness of solutions of a second order nonlinear vectordifferential equation are investigated. Our results include and improve some wellknown results in therelevant literature.
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213
221


C.
TUNC
Department of Mathematis, Faculty of Arts and Sciences,
Yuzuncu Yil University, 65080, Van, Turkey
Department of Mathematis, Faculty of Arts
Turkey
Boundedness
Stability
differential equations of second order
A SUMMABILITY FACTOR THEOREM FOR ABSOLUTE SUMMABILITY INVOLVING QUASI POWER INCREASING SEQUENCES
2
2
We obtain sufficient conditions for the series Σanλn to be absolutely summable of order k by atriangular matrix.
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223
228


E.
SAVAS
Department of Mathematics, Yuzuncu Yil University, Van, Turkey
Department of Mathematics, Yuzuncu Yil University,
Turkey
ekremsavas@yahoo.com & esavas@iticu.edu.tr
absolute summability
weighted mean matrix
cesaro matrix
summability factor
ON STRONGLY Δn SUMMABLE SEQUENCE SPACES
2
2
In the present paper we define strongly Δn summable sequences which generalize Asummablesequences and prove such spaces to be complete paranormed spaces under certain conditions, sometopological results have also been discussed.
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229
234


A.
ESI
Adiyaman University, Science and Art Faculty in Adiyaman,
02040, Adiyaman, Turkey
Adiyaman University, Science and Art Faculty
Turkey


H.
POLAT
Adiyaman University, Science and Art Faculty in Adiyaman,
02040, Adiyaman, Turkey
Adiyaman University, Science and Art Faculty
Turkey
Difference sequence
paranorm
INTEGRAL INEQUALITIES FOR SUBMANIFOLDS OF HESSIAN MANIFOLDS WITH CONSTANT HESSIAN SECTIONAL CURVATURE
2
2
In this paper, we obtain two intrinsic integral inequalities of Hessian manifolds.
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235
239


M.
BEKTAS
Department of Mathematics, Firat University, 23119 Elazıg, Turkey
Department of Mathematics, Firat University,
Turkey


M.
YILDIRIM
Department of Mathematics, Firat University, 23119 Elazıg, Turkey
Department of Mathematics, Firat University,
Turkey
Hessian manifolds
Hessian sectional curvature