ORIGINAL_ARTICLE
AMENABILITY OF WEIGHTED MEASURE ALGEBRAS
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) .
http://ijsts.shirazu.ac.ir/article_2743_89564e2735bfdfb0eae5a3f43a856bcf.pdf
2006-09-14T11:23:20
2018-02-19T11:23:20
153
156
10.22099/ijsts.2006.2743
amenability
measure algebra
weight
E.
FEIZI
true
1
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, Amirkabir University of
Technology, 424 Hafez Avenue, Tehran 15914, I. R. of Iran
Faculty of Mathematics and Computer Science, Amirkabir University of
Technology, 424 Hafez Avenue, Tehran 15914, I. R. of Iran
AUTHOR
A.
POURABBAS
true
2
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, 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
LEAD_AUTHOR
ORIGINAL_ARTICLE
SIMILARITY MEASURE FOR TWO DENSITIES
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.
http://ijsts.shirazu.ac.ir/article_2744_39fc7b850d027df8a5b094df73c30622.pdf
2006-09-14T11:23:20
2018-02-19T11:23:20
157
163
10.22099/ijsts.2006.2744
Mixed model
similarity measure
kullback information
poisson distribution
normal distribution
A. R.
SOLEIMANI
true
1
1Department of Statistics, College of Sciences, Shiraz University, 71454 Shiraz, I. R of Iran
1Department of Statistics, College of Sciences, Shiraz University, 71454 Shiraz, I. R of Iran
1Department of Statistics, College of Sciences, Shiraz University, 71454 Shiraz, I. R of Iran
LEAD_AUTHOR
J.
BEHBOODIAN
behboodian@stat.susc.ac.ir,
true
2
Department of Mathematics, Shiraz Islamic Azad University, Shiraz, I. R of Iran
Department of Mathematics, Shiraz Islamic Azad University, Shiraz, I. R of Iran
Department of Mathematics, Shiraz Islamic Azad University, Shiraz, I. R of Iran
AUTHOR
ORIGINAL_ARTICLE
N-ARY HYPERGROUPS
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.
http://ijsts.shirazu.ac.ir/article_2745_fae3aceea170454724d4b57cfecfbbf9.pdf
2006-09-14T11:23:20
2018-02-19T11:23:20
165
174
10.22099/ijsts.2006.2745
hypergroup
n-ary hypergroup
n-ary group
fundamental equivalence relation
B.
DAVVAZ
true
1
1Department of Mathematics, Yazd University, Yazd, I. R. of Iran
1Department of Mathematics, Yazd University, Yazd, I. R. of Iran
1Department of Mathematics, Yazd University, Yazd, I. R. of Iran
LEAD_AUTHOR
T.
VOUGIOUKLIS
true
2
School of Science and Education, Democritus University of Thrace, Alexandroupolis, Greece
School of Science and Education, Democritus University of Thrace, Alexandroupolis, Greece
School of Science and Education, Democritus University of Thrace, Alexandroupolis, Greece
AUTHOR
ORIGINAL_ARTICLE
SOME GENERALIZATIONS OF THE SEQUENCE SPACE rp a
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).
http://ijsts.shirazu.ac.ir/article_2746_f8064e156776d881c9ee08ee3ea6d003.pdf
2006-09-14T11:23:20
2018-02-19T11:23:20
175
190
10.22099/ijsts.2006.2746
Paranormed sequence space
α-
β- and γ-duals
matrix mappings and rotundity of a sequence space
C.
AYDIN
true
1
Kahramanmaras Sutcu Imam University, Faculty of Science and Arts, Kahramanmaras, 46100, Turkey
Kahramanmaras Sutcu Imam University, Faculty of Science and Arts, Kahramanmaras, 46100, Turkey
Kahramanmaras Sutcu Imam University, Faculty of Science and Arts, Kahramanmaras, 46100, Turkey
AUTHOR
F.
BASAR
true
2
2Inonu University, Faculty of Education, Malatya, 44280, Turkey
2Inonu University, Faculty of Education, Malatya, 44280, Turkey
2Inonu University, Faculty of Education, Malatya, 44280, Turkey
LEAD_AUTHOR
ORIGINAL_ARTICLE
ON THE COUPLING OF FINITE AND BOUNDARY ELEMENT METHODS FOR THE HELMHOLTZ EQUATION
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.
http://ijsts.shirazu.ac.ir/article_2747_c1048d46ff6fddf70b8ff2bb5ce65176.pdf
2006-09-14T11:23:20
2018-02-19T11:23:20
191
200
10.22099/ijsts.2006.2747
Boundary element
boundary integral equation
finite element
Galerkin approximation
Helmholtz
equation
symmetric method
M.
BOUTEFNOUCHET
true
1
1Department of Mathematics & Physics, Faculty of Arts & Science,
University of Qatar, P. O. Box 2713, Doha, Qatar
1Department of Mathematics & Physics, Faculty of Arts & Science,
University of Qatar, P. O. Box 2713, Doha, Qatar
1Department of Mathematics & Physics, Faculty of Arts & Science,
University of Qatar, P. O. Box 2713, Doha, Qatar
LEAD_AUTHOR
A.
DJEBABLA
true
2
Department of Mathematics, Faculty of Science, University of Annaba, 23000, Annaba, Algeria
Department of Mathematics, Faculty of Science, University of Annaba, 23000, Annaba, Algeria
Department of Mathematics, Faculty of Science, University of Annaba, 23000, Annaba, Algeria
AUTHOR
ORIGINAL_ARTICLE
THE ADOMIAN DECOMPOSITION METHOD FOR THE SOLUTION OF THE TRANSIENT ENERGY EQUATION IN ROCKS SUBJECTEDTO LASER IRRADIATION
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.
http://ijsts.shirazu.ac.ir/article_2748_0d6e384033572ca38c7a9972a7124870.pdf
2006-09-14T11:23:20
2018-02-19T11:23:20
201
212
10.22099/ijsts.2006.2748
Adomian Decomposition Method
Crank-Nicholson method
laser irradiation
energy equation
J.
BIAZAR
true
1
1Department of Mathematics, Guilan University, Rasht, P.O.Box 19145, I. R. of Iran
1Department of Mathematics, Guilan University, Rasht, P.O.Box 19145, I. R. of Iran
1Department of Mathematics, Guilan University, Rasht, P.O.Box 19145, I. R. of Iran
LEAD_AUTHOR
R.
AGHA
true
2
Department of Civil and Resource Engineering, Dalhousie University, NS, Canada
Department of Civil and Resource Engineering, Dalhousie University, NS, Canada
Department of Civil and Resource Engineering, Dalhousie University, NS, Canada
AUTHOR
ISLAM
M. R.
true
3
Department of Civil and Resource Engineering, Dalhousie University, NS, Canada
Department of Civil and Resource Engineering, Dalhousie University, NS, Canada
Department of Civil and Resource Engineering, Dalhousie University, NS, Canada
AUTHOR
ORIGINAL_ARTICLE
SOME NEW STABILITY AND BOUNDEDNESS RESULTS ON THE SOLUTIONS OF THE NONLINEAR VECTOR DIFFERENTIAL EQUATIONS OF SECOND ORDER
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.
http://ijsts.shirazu.ac.ir/article_2749_37ebd3560c2c226924d7fc11545e5261.pdf
2006-09-14T11:23:20
2018-02-19T11:23:20
213
221
10.22099/ijsts.2006.2749
Boundedness
Stability
differential equations of second order
C.
TUNC
true
1
Department of Mathematis, Faculty of Arts and Sciences,
Yuzuncu Yil University, 65080, Van, Turkey
Department of Mathematis, Faculty of Arts and Sciences,
Yuzuncu Yil University, 65080, Van, Turkey
Department of Mathematis, Faculty of Arts and Sciences,
Yuzuncu Yil University, 65080, Van, Turkey
LEAD_AUTHOR
ORIGINAL_ARTICLE
A SUMMABILITY FACTOR THEOREM FOR ABSOLUTE SUMMABILITY INVOLVING QUASI POWER INCREASING SEQUENCES
We obtain sufficient conditions for the series Σanλn to be absolutely summable of order k by atriangular matrix.
http://ijsts.shirazu.ac.ir/article_2752_a96c47ac74d957f198d89e7831b68fb7.pdf
2006-09-14T11:23:20
2018-02-19T11:23:20
223
228
10.22099/ijsts.2006.2752
absolute summability
weighted mean matrix
cesaro matrix
summability factor
E.
SAVAS
ekremsavas@yahoo.com & esavas@iticu.edu.tr
true
1
Department of Mathematics, Yuzuncu Yil University, Van, Turkey
Department of Mathematics, Yuzuncu Yil University, Van, Turkey
Department of Mathematics, Yuzuncu Yil University, Van, Turkey
LEAD_AUTHOR
ORIGINAL_ARTICLE
ON STRONGLY Δn -SUMMABLE SEQUENCE SPACES
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.
http://ijsts.shirazu.ac.ir/article_2753_1914e6f116c3005d64d2dac3a65b7898.pdf
2006-09-14T11:23:20
2018-02-19T11:23:20
229
234
10.22099/ijsts.2006.2753
Difference sequence
paranorm
A.
ESI
true
1
Adiyaman University, Science and Art Faculty in Adiyaman,
02040, Adiyaman, Turkey
Adiyaman University, Science and Art Faculty in Adiyaman,
02040, Adiyaman, Turkey
Adiyaman University, Science and Art Faculty in Adiyaman,
02040, Adiyaman, Turkey
LEAD_AUTHOR
H.
POLAT
true
2
Adiyaman University, Science and Art Faculty in Adiyaman,
02040, Adiyaman, Turkey
Adiyaman University, Science and Art Faculty in Adiyaman,
02040, Adiyaman, Turkey
Adiyaman University, Science and Art Faculty in Adiyaman,
02040, Adiyaman, Turkey
AUTHOR
ORIGINAL_ARTICLE
INTEGRAL INEQUALITIES FOR SUBMANIFOLDS OF HESSIAN MANIFOLDS WITH CONSTANT HESSIAN SECTIONAL CURVATURE
In this paper, we obtain two intrinsic integral inequalities of Hessian manifolds.
http://ijsts.shirazu.ac.ir/article_2755_35f4e1e056eb274cacecd0eb86510468.pdf
2006-09-14T11:23:20
2018-02-19T11:23:20
235
239
10.22099/ijsts.2006.2755
Hessian manifolds
Hessian sectional curvature
M.
BEKTAS
true
1
Department of Mathematics, Firat University, 23119 Elazıg, Turkey
Department of Mathematics, Firat University, 23119 Elazıg, Turkey
Department of Mathematics, Firat University, 23119 Elazıg, Turkey
LEAD_AUTHOR
M.
YILDIRIM
true
2
Department of Mathematics, Firat University, 23119 Elazıg, Turkey
Department of Mathematics, Firat University, 23119 Elazıg, Turkey
Department of Mathematics, Firat University, 23119 Elazıg, Turkey
AUTHOR