AMENABILITY OF WEIGHTED MEASURE ALGEBRAS
E.
FEIZI
Faculty of Mathematics and Computer Science, Amirkabir University of
Technology, 424 Hafez Avenue, Tehran 15914, I. R. of Iran
author
A.
POURABBAS
2Faculty of Mathematics and Computer Science, Amirkabir University of
Technology, 424 Hafez Avenue, Tehran 15914, I. R. of Iran
author
text
article
2006
eng
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) .
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
30
v.
2
no.
2006
153
156
http://ijsts.shirazu.ac.ir/article_2743_89564e2735bfdfb0eae5a3f43a856bcf.pdf
dx.doi.org/10.22099/ijsts.2006.2743
SIMILARITY MEASURE FOR TWO DENSITIES
A. R.
SOLEIMANI
1Department of Statistics, College of Sciences, Shiraz University, 71454 Shiraz, I. R of Iran
author
J.
BEHBOODIAN
Department of Mathematics, Shiraz Islamic Azad University, Shiraz, I. R of Iran
author
text
article
2006
eng
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.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
30
v.
2
no.
2006
157
163
http://ijsts.shirazu.ac.ir/article_2744_39fc7b850d027df8a5b094df73c30622.pdf
dx.doi.org/10.22099/ijsts.2006.2744
N-ARY HYPERGROUPS
B.
DAVVAZ
1Department of Mathematics, Yazd University, Yazd, I. R. of Iran
author
T.
VOUGIOUKLIS
School of Science and Education, Democritus University of Thrace, Alexandroupolis, Greece
author
text
article
2006
eng
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.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
30
v.
2
no.
2006
165
174
http://ijsts.shirazu.ac.ir/article_2745_fae3aceea170454724d4b57cfecfbbf9.pdf
dx.doi.org/10.22099/ijsts.2006.2745
SOME GENERALIZATIONS OF THE SEQUENCE SPACE rp a
C.
AYDIN
Kahramanmaras Sutcu Imam University, Faculty of Science and Arts, Kahramanmaras, 46100, Turkey
author
F.
BASAR
2Inonu University, Faculty of Education, Malatya, 44280, Turkey
author
text
article
2006
eng
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).
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
30
v.
2
no.
2006
175
190
http://ijsts.shirazu.ac.ir/article_2746_f8064e156776d881c9ee08ee3ea6d003.pdf
dx.doi.org/10.22099/ijsts.2006.2746
ON THE COUPLING OF FINITE AND BOUNDARY ELEMENT METHODS FOR THE HELMHOLTZ EQUATION
M.
BOUTEFNOUCHET
1Department of Mathematics & Physics, Faculty of Arts & Science,
University of Qatar, P. O. Box 2713, Doha, Qatar
author
A.
DJEBABLA
Department of Mathematics, Faculty of Science, University of Annaba, 23000, Annaba, Algeria
author
text
article
2006
eng
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.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
30
v.
2
no.
2006
191
200
http://ijsts.shirazu.ac.ir/article_2747_c1048d46ff6fddf70b8ff2bb5ce65176.pdf
dx.doi.org/10.22099/ijsts.2006.2747
THE ADOMIAN DECOMPOSITION METHOD FOR THE SOLUTION OF THE TRANSIENT ENERGY EQUATION IN ROCKS SUBJECTEDTO LASER IRRADIATION
J.
BIAZAR
1Department of Mathematics, Guilan University, Rasht, P.O.Box 19145, I. R. of Iran
author
R.
AGHA
Department of Civil and Resource Engineering, Dalhousie University, NS, Canada
author
ISLAM
M. R.
Department of Civil and Resource Engineering, Dalhousie University, NS, Canada
author
text
article
2006
eng
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.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
30
v.
2
no.
2006
201
212
http://ijsts.shirazu.ac.ir/article_2748_0d6e384033572ca38c7a9972a7124870.pdf
dx.doi.org/10.22099/ijsts.2006.2748
SOME NEW STABILITY AND BOUNDEDNESS RESULTS ON THE SOLUTIONS OF THE NONLINEAR VECTOR DIFFERENTIAL EQUATIONS OF SECOND ORDER
C.
TUNC
Department of Mathematis, Faculty of Arts and Sciences,
Yuzuncu Yil University, 65080, Van, Turkey
author
text
article
2006
eng
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.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
30
v.
2
no.
2006
213
221
http://ijsts.shirazu.ac.ir/article_2749_37ebd3560c2c226924d7fc11545e5261.pdf
dx.doi.org/10.22099/ijsts.2006.2749
A SUMMABILITY FACTOR THEOREM FOR ABSOLUTE SUMMABILITY INVOLVING QUASI POWER INCREASING SEQUENCES
E.
SAVAS
Department of Mathematics, Yuzuncu Yil University, Van, Turkey
author
text
article
2006
eng
We obtain sufficient conditions for the series Σanλn to be absolutely summable of order k by atriangular matrix.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
30
v.
2
no.
2006
223
228
http://ijsts.shirazu.ac.ir/article_2752_a96c47ac74d957f198d89e7831b68fb7.pdf
dx.doi.org/10.22099/ijsts.2006.2752
ON STRONGLY Δn -SUMMABLE SEQUENCE SPACES
A.
ESI
Adiyaman University, Science and Art Faculty in Adiyaman,
02040, Adiyaman, Turkey
author
H.
POLAT
Adiyaman University, Science and Art Faculty in Adiyaman,
02040, Adiyaman, Turkey
author
text
article
2006
eng
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.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
30
v.
2
no.
2006
229
234
http://ijsts.shirazu.ac.ir/article_2753_1914e6f116c3005d64d2dac3a65b7898.pdf
dx.doi.org/10.22099/ijsts.2006.2753
INTEGRAL INEQUALITIES FOR SUBMANIFOLDS OF HESSIAN MANIFOLDS WITH CONSTANT HESSIAN SECTIONAL CURVATURE
M.
BEKTAS
Department of Mathematics, Firat University, 23119 Elazıg, Turkey
author
M.
YILDIRIM
Department of Mathematics, Firat University, 23119 Elazıg, Turkey
author
text
article
2006
eng
In this paper, we obtain two intrinsic integral inequalities of Hessian manifolds.
Iranian Journal of Science and Technology (Sciences)
Shiraz University
1028-6276
30
v.
2
no.
2006
235
239
http://ijsts.shirazu.ac.ir/article_2755_35f4e1e056eb274cacecd0eb86510468.pdf
dx.doi.org/10.22099/ijsts.2006.2755