TY - JOUR T1 - The Application Domain of Infinite Matrices with Algorithms AU - Kirişçi, Murat PY - 2018 DA - March Y2 - 2018 DO - 10.32323/ujma.376585 JF - Universal Journal of Mathematics and Applications JO - Univ. J. Math. Appl. PB - Emrah Evren KARA WT - DergiPark SN - 2619-9653 SP - 1 EP - 9 VL - 1 IS - 1 LA - en AB - 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. KW - Schauder basis KW - AK-property KW - Algorithm KW - Flowchart KW - Matrix domain KW - Dual space KW - Monotone norm CR - [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. CR - [2] B. Altay, F. Bas¸ar, On some Euler sequence spaces of non-absolute type, Ukrainian Math. J. 57(1)(2005), 1–17. CR - [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. CR - [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. CR - [5] M. Kirisci, Integrated and differentiated sequence spaces, 2015(1), (2015), Article ID: jnna-00266, 2–16, doi: 10.5899/2015/jnaa-00266. CR - [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). CR - [8] P.-N., Ng, P. -Y., Lee, : Ces`aro sequence spaces of non-absolute type, Comment. Math. Prace Mat. 20(2), 429–433, (1978). CR - [9] A. Wilansky, Summability through Functional Analysis, North- Holland (1984). UR - https://doi.org/10.32323/ujma.376585 L1 - https://dergipark.org.tr/en/download/article-file/437918 ER -