Matematik Bölümü
http://hdl.handle.net/11616/11514
Sun, 29 Nov 2020 17:35:06 GMT2020-11-29T17:35:06ZDomain of the double sequential band matrix in the spaces of convergent and null sequences
http://hdl.handle.net/123456789/16949
Domain of the double sequential band matrix in the spaces of convergent and null sequences
Candan, Murat
What stands out in this article is the sequence spaces of a new brand c(0)(lambda)((B) over tilde) and c(lambda)((B) over tilde), derived by using a double sequential band matrix B(T-,'s-) which generalizes the previous work of Sonmez and Baar (Abstr. Appl. Anal. 2012:435076,2012), where (r(n))(n=0)(infinity) and (s(n))(n=0)(infinity) are given convergent sequences of positive real numbers. The aforementioned spaces are in fact the BK-spaces of non-absolute type. Moreover, they are norm isomorphic to the spaces co and c, respectively. Then, some inclusion relations are derived to determine the alpha-, beta- and gamma-duals of these spaces. Next, their Schauder bases are constructed. In conclusion, some matrix classes from the spaces c(0)(lambda)((B) over tilde) and c(lambda)((B) over tilde) to the spaces l(p), C-o and c are characterized. When compared with the corresponding results in the literature, it is seen that the results of the present study are more general and more inclusive.
ADVANCES IN DIFFERENCE EQUATIONS
Article Number: 163
DOI: 10.1186/1687-1847-2014-163
Published: JUN 4 2014
Document Type:Article
Wed, 01 Jan 2014 00:00:00 GMThttp://hdl.handle.net/123456789/169492014-01-01T00:00:00ZAlmost convergence and double sequentıal band matrıx
http://hdl.handle.net/123456789/16556
Almost convergence and double sequentıal band matrıx
Candan, Murat
The class f of almost convergent sequences was introduced by G.G. Lorentz, using the idea of the Banach limits [A contribution to the theory of divergent sequences, Acta Math. 80(1948), 167-190]. Let f(0) ((B) over tilde) and f((B) over tilde) be the domain of the double sequential band matrix (B) over tilde((r) over tilde, (s) over tilde) in the sequence spaces f(0) and f. In this article, the beta- and gamma-duals of the space f(/3) are determined. Additionally, we give some inclusion theorems concerning with the spaces f(0)((B) over tilde) and f((B) over tilde). Moreover, the classes (f ((B) over tilde) :,mu,) and (mu : f((B) over tilde)) of infinite matrices are characterized, and the characterizations of some other classes are also given as an application of those main results, where mu is an arbitrary sequence space.
ACTA MATHEMATICA SCIENTIA
Volume: 34 Issue: 2 Pages: 354-366
DOI: 10.1016/S0252-9602(14)60010-2
Published: MAR 2014
Document Type:Article
Wed, 01 Jan 2014 00:00:00 GMThttp://hdl.handle.net/123456789/165562014-01-01T00:00:00ZACTIONS OF VECTOR GROUPOIDS
http://hdl.handle.net/123456789/16518
ACTIONS OF VECTOR GROUPOIDS
Gürsoy, M. H.
In this work we deal with actions of vector groupoid which is a new concept in the literature. After we give the definition of the action of a vector groupoid on a vector space, we obtain some results related to actions of vector groupoids. We also apply some characterizations of the category and groupoid theory to vector groupoids. As the second part of the work, we define the notion of a crossed module over a vector groupoid. Finally, we show that the category VG of the vector groupoids is equivalent to the category CModVG of the crossed modules over a vector groupoid.
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
Volume: 40 Issue: 3 Pages: 565-583
Published: JUN 2014
Document Type:Article
Wed, 01 Jan 2014 00:00:00 GMThttp://hdl.handle.net/123456789/165182014-01-01T00:00:00ZSubdomain finite element method with quartic B-splines for the modified equal width wave equation
http://hdl.handle.net/123456789/16085
Subdomain finite element method with quartic B-splines for the modified equal width wave equation
Geyikli, T.; Karakoc, S. B. G.
In this paper, a numerical solution of the modified equal width wave (MEW) equation, has been obtained by a numerical technique based on Subdomain finite element method with quartic B-splines. Test problems including the motion of a single solitary wave and interaction of two solitary waves are studied to validate the suggested method. Accuracy and efficiency of the proposed method are discussed by computing the numerical conserved laws and error norms L (2) and L (a). A linear stability analysis based on a Fourier method shows that the numerical scheme is unconditionally stable.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS
Volume: 55 Issue: 3 Pages: 410-421
DOI: 10.1134/S0965542515030070
Published: MAR 2015
Document Type:Article
Thu, 01 Jan 2015 00:00:00 GMThttp://hdl.handle.net/123456789/160852015-01-01T00:00:00Z