SpringerIranian Journal of Science and Technology (Sciences)1028-627630220060914AMENABILITY OF WEIGHTED MEASURE ALGEBRAS153156274310.22099/ijsts.2006.2743ENE. FEIZIFaculty of Mathematics and Computer Science, Amirkabir University of
Technology, 424 Hafez Avenue, Tehran 15914, I. R. of IranA. POURABBAS2Faculty of Mathematics and Computer Science, Amirkabir University of
Technology, 424 Hafez Avenue, Tehran 15914, I. R. of IranJournal Article20041211Let 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) .SpringerIranian Journal of Science and Technology (Sciences)1028-627630220060914SIMILARITY MEASURE FOR TWO DENSITIES157163274410.22099/ijsts.2006.2744ENA. R. SOLEIMANI1Department of Statistics, College of Sciences, Shiraz University, 71454 Shiraz, I. R of IranJ. BEHBOODIANDepartment of Mathematics, Shiraz Islamic Azad University, Shiraz, I. R of IranJournal Article20050827Scott 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.SpringerIranian Journal of Science and Technology (Sciences)1028-627630220060914N-ARY HYPERGROUPS165174274510.22099/ijsts.2006.2745ENB. DAVVAZ1Department of Mathematics, Yazd University, Yazd, I. R. of IranT. VOUGIOUKLISSchool of Science and Education, Democritus University of Thrace, Alexandroupolis, GreeceJournal Article20030202In 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.SpringerIranian Journal of Science and Technology (Sciences)1028-627630220060914SOME GENERALIZATIONS OF THE SEQUENCE SPACE rp a175190274610.22099/ijsts.2006.2746ENC. AYDINKahramanmaras Sutcu Imam University, Faculty of Science and Arts, Kahramanmaras, 46100, TurkeyF. BASAR2Inonu University, Faculty of Education, Malatya, 44280, TurkeyJournal Article20041004In 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).SpringerIranian Journal of Science and Technology (Sciences)1028-627630220060914ON THE COUPLING OF FINITE AND BOUNDARY ELEMENT METHODS FOR THE HELMHOLTZ EQUATION191200274710.22099/ijsts.2006.2747ENM. BOUTEFNOUCHET1Department of Mathematics & Physics, Faculty of Arts & Science,
University of Qatar, P. O. Box 2713, Doha, QatarA. DJEBABLADepartment of Mathematics, Faculty of Science, University of Annaba, 23000, Annaba, AlgeriaJournal Article20040803Finite 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.SpringerIranian Journal of Science and Technology (Sciences)1028-627630220060914THE ADOMIAN DECOMPOSITION METHOD FOR THE SOLUTION OF THE TRANSIENT ENERGY EQUATION IN ROCKS SUBJECTEDTO LASER IRRADIATION201212274810.22099/ijsts.2006.2748ENJ. BIAZAR1Department of Mathematics, Guilan University, Rasht, P.O.Box 19145, I. R. of IranR. AGHADepartment of Civil and Resource Engineering, Dalhousie University, NS, CanadaISLAM M. R.Department of Civil and Resource Engineering, Dalhousie University, NS, CanadaJournal Article20031214A 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.SpringerIranian Journal of Science and Technology (Sciences)1028-627630220060914SOME NEW STABILITY AND BOUNDEDNESS RESULTS ON THE SOLUTIONS OF THE NONLINEAR VECTOR DIFFERENTIAL EQUATIONS OF SECOND ORDER213221274910.22099/ijsts.2006.2749ENC. TUNCDepartment of Mathematis, Faculty of Arts and Sciences,
Yuzuncu Yil University, 65080, Van, TurkeyJournal Article20060306In 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.SpringerIranian Journal of Science and Technology (Sciences)1028-627630220060914A SUMMABILITY FACTOR THEOREM FOR ABSOLUTE SUMMABILITY INVOLVING QUASI POWER INCREASING SEQUENCES223228275210.22099/ijsts.2006.2752ENE. SAVASDepartment of Mathematics, Yuzuncu Yil University, Van, TurkeyJournal Article20050125We obtain sufficient conditions for the series Σanλn to be absolutely summable of order k by a<br />triangular matrix.SpringerIranian Journal of Science and Technology (Sciences)1028-627630220060914ON STRONGLY Δn -SUMMABLE SEQUENCE SPACES229234275310.22099/ijsts.2006.2753ENA. ESIAdiyaman University, Science and Art Faculty in Adiyaman,
02040, Adiyaman, TurkeyH. POLATAdiyaman University, Science and Art Faculty in Adiyaman,
02040, Adiyaman, TurkeyJournal Article20050213In 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.SpringerIranian Journal of Science and Technology (Sciences)1028-627630220060914INTEGRAL INEQUALITIES FOR SUBMANIFOLDS OF HESSIAN MANIFOLDS WITH CONSTANT HESSIAN SECTIONAL CURVATURE235239275510.22099/ijsts.2006.2755ENM. BEKTASDepartment of Mathematics, Firat University, 23119 Elazıg, TurkeyM. YILDIRIMDepartment of Mathematics, Firat University, 23119 Elazıg, TurkeyJournal Article20041102In this paper, we obtain two intrinsic integral inequalities of Hessian manifolds.