arXiv subjects

Murat Kirisci

Publications and source records attributed to Murat Kirisci.

7 recordsLinked to original sources

arXiv2025

Examining the effects of music on cognitive skills of children in early childhood with the Pythagorean fuzzy set approach

There are many genetic and environmental factors that affect cognitive development. Music education can also be considered as one of the environmental factors. Some researchers emphasize that Music is an action that requires meta-cognitive functions such as mathematics and chess and supports spatial intelligence. The effect of Music on cognitive development in early childhood was examined using the Pythagorean Fuzzy Sets(PFS) method defined by Yager. This study created PFS based on experts' opinions, and an algorithm was given according to PFS. The algorithm's results supported the experts' data on the development of spatial-temporal skills in music education given in early childhood. The algorithm's ranking was done using the Expectation Score Function. The rankings obtained from the algorithm overlap with the experts' rankings.

q-bio.NC↗

arXiv2017

Some contributions to Regular Polygons

The aim of this work is to use Napoleon's Theorem in different regular polygons, and decide whether we can prove Napoleon's Theorem is only limited with triangles or it could be done in other regular polygons that can create regular polygons.

math.HO↗

arXiv2016

A note on the some geometric properties of the sequence spaces defined by Taylor method

In this paper, it was obtained the new matrix domain with the well known classical sequence spaces and an infinite matrix. The Taylor method which known then as the circle method of order r (0 < r < 1), as an infinite matrix for the matrix domain is used. Newly constructed space is isomorphic copy of the spaces of all absolutely p-summable sequences. It is well known that Hilbert space have the nicest geometric properties. Then, it is proved that the new space is a Hilbert space for p = 2. Further, it was computed dual spaces and characterized some matrix classes of the new Taylor space in the table form. Section 3 is devoted some geometric properties of Taylor space.

math.FA↗

arXiv2016

Integrated and Differentiated Sequence Spaces and Weighted Mean

The purpose of this paper is twofold. Firstly, the new matrix domains are constructed with the new infinite matrices and some properties are investigated. Furthermore, dual spaces of new matrix domains are computed and matrix transformations are characterized. Secondly, examples between new spaces with classical sequence spaces and sequence spaces which are derived by an infinite matrix are given in the table form.

math.FA↗

arXiv2016

The Application Domain of Infinite Matrices on Classical Sequence Spaces

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.

math.FA↗

arXiv2016

Fibonacci Numbers, Statistical Convergence and Applications

The purpose of this paper is twofold. First, the definition of new statistical convergence with Fibonacci sequence is given and some fundamental properties of statistical convergence are examined. Second, approximation theory worked as a application of the statistical convergence.

math.FA↗

arXiv2016

The Method of almost convergence with operator of the form fractional order and applications

The purpose of this paper is twofold. First, basic concepts such as Gamma function, almost convergence, fractional order difference operator and sequence spaces are given as a survey character. Thus, the current knowledge about those concepts are presented. Second, we construct the almost convergent spaces with fractional order difference operator and compute dual spaces which are help us in the characterization of matrix mappings. After we characterize to the matrix transformations, we give some examples.

math.FA↗