Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
30
2
2006
09
14
AMENABILITY OF WEIGHTED MEASURE ALGEBRAS
153
156
EN
E.
FEIZI
Faculty of Mathematics and Computer Science, Amirkabir University of
Technology, 424 Hafez Avenue, Tehran 15914, I. R. of Iran
A.
POURABBAS
2Faculty of Mathematics and Computer Science, Amirkabir University of
Technology, 424 Hafez Avenue, Tehran 15914, I. R. of Iran
10.22099/ijsts.2006.2743
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) .
amenability,measure algebra,weight
http://ijsts.shirazu.ac.ir/article_2743.html
http://ijsts.shirazu.ac.ir/article_2743_89564e2735bfdfb0eae5a3f43a856bcf.pdf
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
30
2
2006
09
14
SIMILARITY MEASURE FOR TWO DENSITIES
157
163
EN
A. R.
SOLEIMANI
1Department of Statistics, College of Sciences, Shiraz University, 71454 Shiraz, I. R of Iran
J.
BEHBOODIAN
Department of Mathematics, Shiraz Islamic Azad University, Shiraz, I. R of Iran
behboodian@stat.susc.ac.ir,
10.22099/ijsts.2006.2744
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.
Mixed model,similarity measure,kullback information,poisson distribution,normal distribution
http://ijsts.shirazu.ac.ir/article_2744.html
http://ijsts.shirazu.ac.ir/article_2744_39fc7b850d027df8a5b094df73c30622.pdf
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
30
2
2006
09
14
N-ARY HYPERGROUPS
165
174
EN
B.
DAVVAZ
1Department of Mathematics, Yazd University, Yazd, I. R. of Iran
T.
VOUGIOUKLIS
School of Science and Education, Democritus University of Thrace, Alexandroupolis, Greece
10.22099/ijsts.2006.2745
In this paper the class of n-ary hypergroups is introduced and several properties are found andexamples are presented. n-ary hypergroups are a generalization of hypergroups in the sense of Marty. On theother hand, we can consider n-ary hypergroups as a good generalization of n-ary groups. We define thefundamental relation β* on an n-ary hypergroup H as the smallest equivalence relation such that H / β* isthe n-ary group, and then some related properties are investigated.
hypergroup,n-ary hypergroup,n-ary group,fundamental equivalence relation
http://ijsts.shirazu.ac.ir/article_2745.html
http://ijsts.shirazu.ac.ir/article_2745_fae3aceea170454724d4b57cfecfbbf9.pdf
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
30
2
2006
09
14
SOME GENERALIZATIONS OF THE SEQUENCE SPACE rp a
175
190
EN
C.
AYDIN
Kahramanmaras Sutcu Imam University, Faculty of Science and Arts, Kahramanmaras, 46100, Turkey
F.
BASAR
2Inonu University, Faculty of Education, Malatya, 44280, Turkey
10.22099/ijsts.2006.2746
In the present paper, the sequence space ar(u, p) of a non-absolute 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 γ-duals 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).
Paranormed sequence space,α-,β- and γ-duals,matrix mappings and rotundity of a sequence space
http://ijsts.shirazu.ac.ir/article_2746.html
http://ijsts.shirazu.ac.ir/article_2746_f8064e156776d881c9ee08ee3ea6d003.pdf
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
30
2
2006
09
14
ON THE COUPLING OF FINITE AND BOUNDARY ELEMENT METHODS FOR THE HELMHOLTZ EQUATION
191
200
EN
M.
BOUTEFNOUCHET
1Department of Mathematics & Physics, Faculty of Arts & Science,
University of Qatar, P. O. Box 2713, Doha, Qatar
A.
DJEBABLA
Department of Mathematics, Faculty of Science, University of Annaba, 23000, Annaba, Algeria
10.22099/ijsts.2006.2747
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.
Boundary element,boundary integral equation,finite element,Galerkin approximation,Helmholtz
equation,symmetric method
http://ijsts.shirazu.ac.ir/article_2747.html
http://ijsts.shirazu.ac.ir/article_2747_c1048d46ff6fddf70b8ff2bb5ce65176.pdf
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
30
2
2006
09
14
THE ADOMIAN DECOMPOSITION METHOD FOR THE SOLUTION OF THE TRANSIENT ENERGY EQUATION IN ROCKS SUBJECTEDTO LASER IRRADIATION
201
212
EN
J.
BIAZAR
1Department of Mathematics, Guilan University, Rasht, P.O.Box 19145, I. R. of Iran
R.
AGHA
Department of Civil and Resource Engineering, Dalhousie University, NS, Canada
ISLAM
M. R.
Department of Civil and Resource Engineering, Dalhousie University, NS, Canada
10.22099/ijsts.2006.2748
A 2-D 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 five-terms 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 2-D 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 Crank-Nicholson method is also presented.
Adomian Decomposition Method,Crank-Nicholson method,laser irradiation,energy equation
http://ijsts.shirazu.ac.ir/article_2748.html
http://ijsts.shirazu.ac.ir/article_2748_0d6e384033572ca38c7a9972a7124870.pdf
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
30
2
2006
09
14
SOME NEW STABILITY AND BOUNDEDNESS RESULTS ON THE SOLUTIONS OF THE NONLINEAR VECTOR DIFFERENTIAL EQUATIONS OF SECOND ORDER
213
221
EN
C.
TUNC
Department of Mathematis, Faculty of Arts and Sciences,
Yuzuncu Yil University, 65080, Van, Turkey
10.22099/ijsts.2006.2749
In this paper, the stability and boundedness of solutions of a second order nonlinear vectordifferential equation are investigated. Our results include and improve some well-known results in therelevant literature.
Boundedness,Stability,differential equations of second order
http://ijsts.shirazu.ac.ir/article_2749.html
http://ijsts.shirazu.ac.ir/article_2749_37ebd3560c2c226924d7fc11545e5261.pdf
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
30
2
2006
09
14
A SUMMABILITY FACTOR THEOREM FOR ABSOLUTE SUMMABILITY INVOLVING QUASI POWER INCREASING SEQUENCES
223
228
EN
E.
SAVAS
Department of Mathematics, Yuzuncu Yil University, Van, Turkey
ekremsavas@yahoo.com & esavas@iticu.edu.tr
10.22099/ijsts.2006.2752
We obtain sufficient conditions for the series Σanλn to be absolutely summable of order k by atriangular matrix.
absolute summability,weighted mean matrix,cesaro matrix,summability factor
http://ijsts.shirazu.ac.ir/article_2752.html
http://ijsts.shirazu.ac.ir/article_2752_a96c47ac74d957f198d89e7831b68fb7.pdf
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
30
2
2006
09
14
ON STRONGLY Δn -SUMMABLE SEQUENCE SPACES
229
234
EN
A.
ESI
Adiyaman University, Science and Art Faculty in Adiyaman,
02040, Adiyaman, Turkey
H.
POLAT
Adiyaman University, Science and Art Faculty in Adiyaman,
02040, Adiyaman, Turkey
10.22099/ijsts.2006.2753
In the present paper we define strongly Δn -summable sequences which generalize A-summablesequences and prove such spaces to be complete paranormed spaces under certain conditions, sometopological results have also been discussed.
Difference sequence,paranorm
http://ijsts.shirazu.ac.ir/article_2753.html
http://ijsts.shirazu.ac.ir/article_2753_1914e6f116c3005d64d2dac3a65b7898.pdf
Shiraz University
Iranian Journal of Science and Technology (Sciences)
1028-6276
30
2
2006
09
14
INTEGRAL INEQUALITIES FOR SUBMANIFOLDS OF HESSIAN MANIFOLDS WITH CONSTANT HESSIAN SECTIONAL CURVATURE
235
239
EN
M.
BEKTAS
Department of Mathematics, Firat University, 23119 Elazıg, Turkey
M.
YILDIRIM
Department of Mathematics, Firat University, 23119 Elazıg, Turkey
10.22099/ijsts.2006.2755
In this paper, we obtain two intrinsic integral inequalities of Hessian manifolds.
Hessian manifolds,Hessian sectional curvature
http://ijsts.shirazu.ac.ir/article_2755.html
http://ijsts.shirazu.ac.ir/article_2755_35f4e1e056eb274cacecd0eb86510468.pdf