The Application Domain of Infinite Matrices with Algorithms

Murat Kirişçi

doi:10.32323/ujma.376585

Research Article

Year 2018, Volume: 1 Issue: 1, 1 - 9, 11.03.2018

Murat Kirişçi

https://doi.org/10.32323/ujma.376585

Cited By: 5

Abstract

References

[1] B. Altay and F. Bas¸ar, Certain topological properties and duals of the domain of a triangle matrix in a sequence spaces, J. Math. Analysis and Appl., 336 (2007), 632–645.
[2] B. Altay, F. Bas¸ar, On some Euler sequence spaces of non-absolute type, Ukrainian Math. J. 57(1)(2005), 1–17.
[3] F. Başar and B. Altay On the space of sequences of p-bounded variation and related matrix mappings, Ukranian Math. J., 55(1) (2003), 136–147.
[4] B. Altay, F. Başar, M. Mursaleen, On the Euler sequence spaces which include the spaces $l_p$ and $l_\infty$, I Inform. Sci. 176(10)(2006), 1450–1462.
[5] M. Kirisci, Integrated and differentiated sequence spaces, 2015(1), (2015), Article ID: jnna-00266, 2–16, doi: 10.5899/2015/jnaa-00266.
[6] M. Kirişçi, On the Taylor sequence spaces of nonabsolute type which include the spaces c0 and c,J. Math. Anal., 6(2), 22–35, (2015). [7] E. Malkowsky, Recent results in the theory of matrix transformations in sequence spaces, Mat. Ves. 49, 187–196, (1997).
[8] P.-N., Ng, P. -Y., Lee, : Ces`aro sequence spaces of non-absolute type, Comment. Math. Prace Mat. 20(2), 429–433, (1978).
[9] A. Wilansky, Summability through Functional Analysis, North- Holland (1984).

The Application Domain of Infinite Matrices with Algorithms

Year 2018, Volume: 1 Issue: 1, 1 - 9, 11.03.2018

Murat Kirişçi

https://doi.org/10.32323/ujma.376585

Cited By: 5

Abstract

The purpose of this paper is twofold. First, we define the new spaces and investigate some topological and structural properties. Also, we compute dual spaces of new spaces which are help us in the characterization of matrix mappings. Second, we give some examples related to new spaces. A flow chart of the stages of the newly constructed sequence spaces and the algorithms of the workings at each step are given.

Keywords

Schauder basis, AK-property, Algorithm, Flowchart, Matrix domain, Dual space, Monotone norm

References

[1] B. Altay and F. Bas¸ar, Certain topological properties and duals of the domain of a triangle matrix in a sequence spaces, J. Math. Analysis and Appl., 336 (2007), 632–645.
[2] B. Altay, F. Bas¸ar, On some Euler sequence spaces of non-absolute type, Ukrainian Math. J. 57(1)(2005), 1–17.
[3] F. Başar and B. Altay On the space of sequences of p-bounded variation and related matrix mappings, Ukranian Math. J., 55(1) (2003), 136–147.
[4] B. Altay, F. Başar, M. Mursaleen, On the Euler sequence spaces which include the spaces $l_p$ and $l_\infty$, I Inform. Sci. 176(10)(2006), 1450–1462.
[5] M. Kirisci, Integrated and differentiated sequence spaces, 2015(1), (2015), Article ID: jnna-00266, 2–16, doi: 10.5899/2015/jnaa-00266.
[6] M. Kirişçi, On the Taylor sequence spaces of nonabsolute type which include the spaces c0 and c,J. Math. Anal., 6(2), 22–35, (2015). [7] E. Malkowsky, Recent results in the theory of matrix transformations in sequence spaces, Mat. Ves. 49, 187–196, (1997).
[8] P.-N., Ng, P. -Y., Lee, : Ces`aro sequence spaces of non-absolute type, Comment. Math. Prace Mat. 20(2), 429–433, (1978).
[9] A. Wilansky, Summability through Functional Analysis, North- Holland (1984).

There are 8 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Articles
Authors	Murat Kirişçi 0000-0003-4938-5207
Publication Date	March 11, 2018
Submission Date	January 9, 2018
Acceptance Date	January 17, 2018
Published in Issue	Year 2018 Volume: 1 Issue: 1

Cite

APA	Kirişçi, M. (2018). The Application Domain of Infinite Matrices with Algorithms. Universal Journal of Mathematics and Applications, 1(1), 1-9. https://doi.org/10.32323/ujma.376585
AMA	Kirişçi M. The Application Domain of Infinite Matrices with Algorithms. Univ. J. Math. Appl. March 2018;1(1):1-9. doi:10.32323/ujma.376585
Chicago	Kirişçi, Murat. “The Application Domain of Infinite Matrices With Algorithms”. Universal Journal of Mathematics and Applications 1, no. 1 (March 2018): 1-9. https://doi.org/10.32323/ujma.376585.
EndNote	Kirişçi M (March 1, 2018) The Application Domain of Infinite Matrices with Algorithms. Universal Journal of Mathematics and Applications 1 1 1–9.
IEEE	M. Kirişçi, “The Application Domain of Infinite Matrices with Algorithms”, Univ. J. Math. Appl., vol. 1, no. 1, pp. 1–9, 2018, doi: 10.32323/ujma.376585.
ISNAD	Kirişçi, Murat. “The Application Domain of Infinite Matrices With Algorithms”. Universal Journal of Mathematics and Applications 1/1 (March 2018), 1-9. https://doi.org/10.32323/ujma.376585.
JAMA	Kirişçi M. The Application Domain of Infinite Matrices with Algorithms. Univ. J. Math. Appl. 2018;1:1–9.
MLA	Kirişçi, Murat. “The Application Domain of Infinite Matrices With Algorithms”. Universal Journal of Mathematics and Applications, vol. 1, no. 1, 2018, pp. 1-9, doi:10.32323/ujma.376585.
Vancouver	Kirişçi M. The Application Domain of Infinite Matrices with Algorithms. Univ. J. Math. Appl. 2018;1(1):1-9.