eng
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2006-09-14
30
2
153
156
10.22099/ijsts.2006.2743
2743
AMENABILITY OF WEIGHTED MEASURE ALGEBRAS
E. FEIZI
1
A. POURABBAS
2
Faculty of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, Tehran 15914, I. R. of Iran
2Faculty of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, Tehran 15914, I. R. of Iran
Let G be a locally compact group, and let ω be a weight on G. We show that the weighted<br />measure algebra M(G,ω) is amenable if and only if G is a discrete, amenable group and<br />sup{ω(g) ω(g−1) : g ∈ G} < ∞, where ω(g) ≥ 1 (g ∈ G) .
http://ijsts.shirazu.ac.ir/article_2743_89564e2735bfdfb0eae5a3f43a856bcf.pdf
amenability
measure algebra
weight
eng
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2006-09-14
30
2
157
163
10.22099/ijsts.2006.2744
2744
SIMILARITY MEASURE FOR TWO DENSITIES
A. R. SOLEIMANI
1
J. BEHBOODIAN
behboodian@stat.susc.ac.ir,
2
1Department of Statistics, College of Sciences, Shiraz University, 71454 Shiraz, I. R of Iran
Department of Mathematics, Shiraz Islamic Azad University, Shiraz, I. R of Iran
Scott and Szewczyk in Technometrics, 2001, have introduced a similarity measure for two<br />densities f1 and f2 , by<br />1, 2<br />1 2<br />1 1 2 2<br />( , )<br />, ,<br />f f<br />sim f f<br />f f f f<br />< ><br />=<br />< >< ><br />where<br />f1, f2 f1(x, θ1)f2(x, θ2)dx.<br />+∞<br />−∞<br />< >=∫<br />sim(f1, f2) has some appropriate properties that can be suitable measures for the similarity of f1 and f2 .<br />However, due to some restrictions on the value of parameters and the kind of densities, discrete or continuous,<br />it cannot be used in general.<br />The purpose of this article is to give some other measures, based on modified Scott's measure, and<br />Kullback information, which may be better than sim(f1, f2) in some cases. The properties of these new<br />measures are studied and some examples are provided.
http://ijsts.shirazu.ac.ir/article_2744_39fc7b850d027df8a5b094df73c30622.pdf
Mixed model
similarity measure
kullback information
poisson distribution
normal distribution
eng
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2006-09-14
30
2
165
174
10.22099/ijsts.2006.2745
2745
N-ARY HYPERGROUPS
B. DAVVAZ
1
T. VOUGIOUKLIS
2
1Department of Mathematics, Yazd University, Yazd, I. R. of Iran
School of Science and Education, Democritus University of Thrace, Alexandroupolis, Greece
In this paper the class of n-ary hypergroups is introduced and several properties are found and<br />examples are presented. n-ary hypergroups are a generalization of hypergroups in the sense of Marty. On the<br />other hand, we can consider n-ary hypergroups as a good generalization of n-ary groups. We define the<br />fundamental relation β* on an n-ary hypergroup H as the smallest equivalence relation such that H / β* is<br />the n-ary group, and then some related properties are investigated.
http://ijsts.shirazu.ac.ir/article_2745_fae3aceea170454724d4b57cfecfbbf9.pdf
hypergroup
n-ary hypergroup
n-ary group
fundamental equivalence relation
eng
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2006-09-14
30
2
175
190
10.22099/ijsts.2006.2746
2746
SOME GENERALIZATIONS OF THE SEQUENCE SPACE rp a
C. AYDIN
1
F. BASAR
2
Kahramanmaras Sutcu Imam University, Faculty of Science and Arts, Kahramanmaras, 46100, Turkey
2Inonu University, Faculty of Education, Malatya, 44280, Turkey
In the present paper, the sequence space ar(u, p) of a non-absolute type is introduced and it is<br />proved that the space ar(u, p) is linearly isomorphic to the Maddox’s space (p).Besides this, the basis is<br />constructed and the α-, β- and γ-duals are computed for the space ar(u, p). Furthermore, some matrix<br />mappings from ar(u, p) to some sequence spaces are characterized. The final section of the paper is devoted to<br />some consequences related to the rotundity of the space ar(u, p).
http://ijsts.shirazu.ac.ir/article_2746_f8064e156776d881c9ee08ee3ea6d003.pdf
Paranormed sequence space
α-
β- and γ-duals
matrix mappings and rotundity of a sequence space
eng
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2006-09-14
30
2
191
200
10.22099/ijsts.2006.2747
2747
ON THE COUPLING OF FINITE AND BOUNDARY ELEMENT METHODS FOR THE HELMHOLTZ EQUATION
M. BOUTEFNOUCHET
1
A. DJEBABLA
2
1Department of Mathematics & Physics, Faculty of Arts & Science, University of Qatar, P. O. Box 2713, Doha, Qatar
Department of Mathematics, Faculty of Science, University of Annaba, 23000, Annaba, Algeria
Finite and boundary element methods have been used by many authors to solve mathematical<br />physics problems. However, the coupling of these two methods happens to be more efficient as it combines<br />their merits. In this paper, the mathematical analysis of the coupling of finite and boundary element methods<br />for the Helmholtz equation is presented.
http://ijsts.shirazu.ac.ir/article_2747_c1048d46ff6fddf70b8ff2bb5ce65176.pdf
Boundary element
boundary integral equation
finite element
Galerkin approximation
Helmholtz
equation
symmetric method
eng
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2006-09-14
30
2
201
212
10.22099/ijsts.2006.2748
2748
THE ADOMIAN DECOMPOSITION METHOD FOR THE SOLUTION OF THE TRANSIENT ENERGY EQUATION IN ROCKS SUBJECTEDTO LASER IRRADIATION
J. BIAZAR
1
R. AGHA
2
ISLAM M. R.
3
1Department of Mathematics, Guilan University, Rasht, P.O.Box 19145, I. R. of Iran
Department of Civil and Resource Engineering, Dalhousie University, NS, Canada
Department of Civil and Resource Engineering, Dalhousie University, NS, Canada
A 2-D heat conduction model has been solved by using the Adomian Decomposition Method to<br />predict the transient temperature and heat flux distribution in a thick solid that is irradiated by a laser source.<br />The laser source may operate in a continuous wave (CW) mode or repeated pulse (RP) mode and may have<br />arbitrary, spatial and temporal profiles.<br />A generalized solution containing five-terms approximation of a rapidly convergent series is obtained.<br />The solution is then applied to some special cases of practical interest, such as laser irradiation of sandstones<br />and limestones. Laser drilling of geologic formations is being considered by the petroleum industry in the<br />foreseeable future. The 2-D transient temperature distribution is presented in a graphical form and discussed.<br />A comparison between the results obtained from the Adomian method and those obtained numerically by<br />using the Crank-Nicholson method is also presented.
http://ijsts.shirazu.ac.ir/article_2748_0d6e384033572ca38c7a9972a7124870.pdf
Adomian Decomposition Method
Crank-Nicholson method
laser irradiation
energy equation
eng
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2006-09-14
30
2
213
221
10.22099/ijsts.2006.2749
2749
SOME NEW STABILITY AND BOUNDEDNESS RESULTS ON THE SOLUTIONS OF THE NONLINEAR VECTOR DIFFERENTIAL EQUATIONS OF SECOND ORDER
C. TUNC
1
Department of Mathematis, Faculty of Arts and Sciences, Yuzuncu Yil University, 65080, Van, Turkey
In this paper, the stability and boundedness of solutions of a second order nonlinear vector<br />differential equation are investigated. Our results include and improve some well-known results in the<br />relevant literature.
http://ijsts.shirazu.ac.ir/article_2749_37ebd3560c2c226924d7fc11545e5261.pdf
Boundedness
Stability
differential equations of second order
eng
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2006-09-14
30
2
223
228
10.22099/ijsts.2006.2752
2752
A SUMMABILITY FACTOR THEOREM FOR ABSOLUTE SUMMABILITY INVOLVING QUASI POWER INCREASING SEQUENCES
E. SAVAS
ekremsavas@yahoo.com & esavas@iticu.edu.tr
1
Department of Mathematics, Yuzuncu Yil University, Van, Turkey
We obtain sufficient conditions for the series Σanλn to be absolutely summable of order k by a<br />triangular matrix.
http://ijsts.shirazu.ac.ir/article_2752_a96c47ac74d957f198d89e7831b68fb7.pdf
absolute summability
weighted mean matrix
cesaro matrix
summability factor
eng
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2006-09-14
30
2
229
234
10.22099/ijsts.2006.2753
2753
ON STRONGLY Δn -SUMMABLE SEQUENCE SPACES
A. ESI
1
H. POLAT
2
Adiyaman University, Science and Art Faculty in Adiyaman, 02040, Adiyaman, Turkey
Adiyaman University, Science and Art Faculty in Adiyaman, 02040, Adiyaman, Turkey
In the present paper we define strongly Δn -summable sequences which generalize A-summable<br />sequences and prove such spaces to be complete paranormed spaces under certain conditions, some<br />topological results have also been discussed.
http://ijsts.shirazu.ac.ir/article_2753_1914e6f116c3005d64d2dac3a65b7898.pdf
Difference sequence
paranorm
eng
Springer
Iranian Journal of Science and Technology (Sciences)
1028-6276
1028-6276
2006-09-14
30
2
235
239
10.22099/ijsts.2006.2755
2755
INTEGRAL INEQUALITIES FOR SUBMANIFOLDS OF HESSIAN MANIFOLDS WITH CONSTANT HESSIAN SECTIONAL CURVATURE
M. BEKTAS
1
M. YILDIRIM
2
Department of Mathematics, Firat University, 23119 Elazıg, Turkey
Department of Mathematics, Firat University, 23119 Elazıg, Turkey
In this paper, we obtain two intrinsic integral inequalities of Hessian manifolds.
http://ijsts.shirazu.ac.ir/article_2755_35f4e1e056eb274cacecd0eb86510468.pdf
Hessian manifolds
Hessian sectional curvature