Pub Date : 2020-07-12DOI: 10.36753/mathenot.733364
Sezer Erdem, Serkan Demiriz
Our main purpose in this study is to investigate the matrix domains of the 4-dimensional Euler-totient matrix operator on the classical double sequence spaces M u , C p , C bp and C r . Besides these, we examine their topological and algebraic properties and give inclusion relations about the new spaces. Also, the α − , β ( ϑ ) − and γ − duals of these spaces are determined and finally, some matrix classes are characterized.
本研究的主要目的是研究经典二重序列空间M u, C p, C bp和C r上的四维欧拉-全域矩阵算子的矩阵域。此外，我们研究了它们的拓扑和代数性质，并给出了新空间的包含关系。此外，还确定了这些空间的α−、β (ν)−和γ−对偶，并对一些矩阵类进行了表征。
{"title":"4-Dimensional Euler-Totient Matrix Operator and Some Double Sequence Spaces","authors":"Sezer Erdem, Serkan Demiriz","doi":"10.36753/mathenot.733364","DOIUrl":"https://doi.org/10.36753/mathenot.733364","url":null,"abstract":"Our main purpose in this study is to investigate the matrix domains of the 4-dimensional Euler-totient matrix operator on the classical double sequence spaces M u , C p , C bp and C r . Besides these, we examine their topological and algebraic properties and give inclusion relations about the new spaces. Also, the α − , β ( ϑ ) − and γ − duals of these spaces are determined and finally, some matrix classes are characterized.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"1962 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129665059","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-06-22DOI: 10.36753/mathenot.647458
N. Taş
In this paper, we define the notion of a (υ1, υ2)-generalized closed fuzzy soft set (shorlty, a (υ1, υ2)-g-closed fuzzy soft set) on a fuzzy soft topological space. Using this notion, we investigate some properties of a (υ1, υ2)-g-closed fuzzy soft set and prove a new version of the “Pasting Lemma” with a mixed structure.
{"title":"On the Pasting Lemma on a Fuzzy Soft Topological Space with Mixed Structure","authors":"N. Taş","doi":"10.36753/mathenot.647458","DOIUrl":"https://doi.org/10.36753/mathenot.647458","url":null,"abstract":"In this paper, we define the notion of a (υ1, υ2)-generalized closed fuzzy soft set (shorlty, a (υ1, υ2)-g-closed fuzzy soft set) on a fuzzy soft topological space. Using this notion, we investigate some properties of a (υ1, υ2)-g-closed fuzzy soft set and prove a new version of the “Pasting Lemma” with a mixed structure.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116307252","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-06-22DOI: 10.36753/mathenot.723297
L. Bugay, Melek Yağcı
Let $DP_{n}$ and $ODP_{n}$ be the semigroups of all isometries and of all order-preserving isometries on $X_{n}$, respectively. In this paper we investigate the structure of minimal generating sets of the subsemigroup $DP_{n,r}$= {α ∈ DPn : |im (α)| ≤ r} (similarly of the subsemigroup $ODP_{n,r}$ = {α ∈ ODPn : |im (α)| ≤ r}) for 2 ≤ r ≤ n − 1. .
{"title":"On Minimal Generating Sets of Certain Subsemigroups of Isometries","authors":"L. Bugay, Melek Yağcı","doi":"10.36753/mathenot.723297","DOIUrl":"https://doi.org/10.36753/mathenot.723297","url":null,"abstract":"Let $DP_{n}$ and $ODP_{n}$ be the semigroups of all isometries and of all order-preserving isometries on $X_{n}$, respectively. In this paper we investigate the structure of minimal generating sets of the subsemigroup $DP_{n,r}$= {α ∈ DPn : |im (α)| ≤ r} (similarly of the subsemigroup $ODP_{n,r}$ = {α ∈ ODPn : |im (α)| ≤ r}) for 2 ≤ r ≤ n − 1. .","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124237906","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-05-23DOI: 10.36753/mathenot.631172
Hamidur Rahaman
Let F , G be two generalized derivations of prime ring R with characteristic different from 2 with associated derivations D 1 and D 2 respectively. We use the symbols C = Z ( U ) and U to denote the the extended centroid of R and Utumi ring of quotient of R respectively. Let 0 (cid:54) = a ∈ R and F and G satisfy a { ( F ( xy ) + G ( yx )) m − [ x, y ] n } = 0 for all x, y ∈ J , a nonzero ideal, where m and n are natural numbers. Then either R is commutative or there exists c , b ∈ U such that F ( x ) = cx and G ( x ) = bx for all x ∈ R
设F, G为特征不同于2的素数环R的两个广义导数，其相关导数分别为d1和d2。用符号C = Z (U)和U分别表示R的扩展质心和R商的Utumi环。设0 (cid:54) = a∈R, F和G满足a {(F (xy) + G (yx)) m−[x, y] n} = 0，对于所有x, y∈J，一个非零理想，其中m和n是自然数。要么R是可交换的，要么存在c, b∈U使得F (x) = cx, G (x) = bx对于所有x∈R
{"title":"Annihilator of generalized derivations with power values in rings and Algebras","authors":"Hamidur Rahaman","doi":"10.36753/mathenot.631172","DOIUrl":"https://doi.org/10.36753/mathenot.631172","url":null,"abstract":"Let F , G be two generalized derivations of prime ring R with characteristic different from 2 with associated derivations D 1 and D 2 respectively. We use the symbols C = Z ( U ) and U to denote the the extended centroid of R and Utumi ring of quotient of R respectively. Let 0 (cid:54) = a ∈ R and F and G satisfy a { ( F ( xy ) + G ( yx )) m − [ x, y ] n } = 0 for all x, y ∈ J , a nonzero ideal, where m and n are natural numbers. Then either R is commutative or there exists c , b ∈ U such that F ( x ) = cx and G ( x ) = bx for all x ∈ R","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125935697","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-05-05DOI: 10.36753/mathenot.708004
S. Koparal, N. Ömür
In this paper, we consider and obtain binomial sums and alternating binomial sums including falling factorial of the summation indice. For example, For integers n and m such that 0 ≤ m < n , n (cid:88) and for positive odd integer m,
本文考虑并得到了二项式和和和指数降阶乘的交替二项式和。例如，对于满足0≤m < n, n (cid:88)的整数n和m，对于正奇数m，
{"title":"On binomial sums and alternating binomial sums of generelized Fibonacci numbers with falling factorials","authors":"S. Koparal, N. Ömür","doi":"10.36753/mathenot.708004","DOIUrl":"https://doi.org/10.36753/mathenot.708004","url":null,"abstract":"In this paper, we consider and obtain binomial sums and alternating binomial sums including falling factorial of the summation indice. For example, For integers n and m such that 0 ≤ m < n , n (cid:88) and for positive odd integer m,","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116611822","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-05-01DOI: 10.36753/mathenot.591307
N. Irmak, Abdullah Açikel
In this paper, we give a new approach to obtain identities for Fibonacci and Lucas octonions.
本文给出了一种求Fibonacci和Lucas八元恒等式的新方法。
{"title":"More identities for Fibonacci and Lucas octonions","authors":"N. Irmak, Abdullah Açikel","doi":"10.36753/mathenot.591307","DOIUrl":"https://doi.org/10.36753/mathenot.591307","url":null,"abstract":"In this paper, we give a new approach to obtain identities for Fibonacci and Lucas octonions.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"2015 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121526850","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-05-01DOI: 10.36753/mathenot.672621
Efruz Özlem Mersin, M. Bahşı, A. D. Maden
In this paper, we first introduce a new generalization of Frank matrix. Then, we examine its algebraic structure, determinant, inverse, LU decomposition and characteristic polynomial.
{"title":"Some Properties Of Generalized Frank Matrices","authors":"Efruz Özlem Mersin, M. Bahşı, A. D. Maden","doi":"10.36753/mathenot.672621","DOIUrl":"https://doi.org/10.36753/mathenot.672621","url":null,"abstract":"In this paper, we first introduce a new generalization of Frank matrix. Then, we examine its algebraic structure, determinant, inverse, LU decomposition and characteristic polynomial.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114542815","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-04-10DOI: 10.36753/mathenot.683486
E. Yaşar
In this paper, connections between various subclasses of harmonic univalent functions by using a convolution operator involving the Pascal distribution series are investigated. Furthermore, an example is provided, illustrating graphically with the help of Maple, to illuminate the convolution operator.
{"title":"Harmonic k-uniformly convex, k-starlike mappings and Pascal distribution series","authors":"E. Yaşar","doi":"10.36753/mathenot.683486","DOIUrl":"https://doi.org/10.36753/mathenot.683486","url":null,"abstract":"In this paper, connections between various subclasses of harmonic univalent functions by using a convolution operator involving the Pascal distribution series are investigated. Furthermore, an example is provided, illustrating graphically with the help of Maple, to illuminate the convolution operator.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"94 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126076953","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-03-20DOI: 10.36753/mathenot.615168
Oğuzhan Demirel, Leyla Aslan, Damla Topal
H. Steinhaus [1] has asked whether inside each acute triangle there is a point from which perpendiculars to the sides divide the triangle into three parts of equal areas. In this paper we present a new characteristic of similarities by use of the Steinhaus’ Problem on partition of a triangle.
H. Steinhaus[1]曾问，在每个锐角三角形中是否有一个点，从该点开始，与各边的垂线将三角形分成三部分，面积相等。本文利用三角剖分的Steinhaus问题，给出了一个新的相似性特征。
{"title":"A Characteristic of Similarities by Use of Steinhaus’ Problem on Partition of Triangles","authors":"Oğuzhan Demirel, Leyla Aslan, Damla Topal","doi":"10.36753/mathenot.615168","DOIUrl":"https://doi.org/10.36753/mathenot.615168","url":null,"abstract":"H. Steinhaus [1] has asked whether inside each acute triangle there is a point from which perpendiculars to the sides divide the triangle into three parts of equal areas. In this paper we present a new characteristic of similarities by use of the Steinhaus’ Problem on partition of a triangle.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"175 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132494637","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-03-20DOI: 10.36753/mathenot.693053
Kahraman Esen Özen
For motion of a material point along a space curve, due to Siacci [1], a resolution of the acceleration vector is well known. In this resolution, the acceleration vector is stated as the sum of two special oblique components in the osculating plane to the curve. In this paper, we have studied the Siacci’s theorem for non-relativistic particles moving along the Frenet curves at very low speeds relative to the speed of light in Minkowski 3-space. Moreover, an illustrative example is given to show how the aforesaid theorem works. This theorem is a new contribution to the field and it may be useful for some specific applications in mathematical and computational physics.
{"title":"Siacci's Theorem for Frenet Curves in Minkowski 3-Space","authors":"Kahraman Esen Özen","doi":"10.36753/mathenot.693053","DOIUrl":"https://doi.org/10.36753/mathenot.693053","url":null,"abstract":"For motion of a material point along a space curve, due to Siacci [1], a resolution of the acceleration vector is well known. In this resolution, the acceleration vector is stated as the sum of two special oblique components in the osculating plane to the curve. In this paper, we have studied the Siacci’s theorem for non-relativistic particles moving along the Frenet curves at very low speeds relative to the speed of light in Minkowski 3-space. Moreover, an illustrative example is given to show how the aforesaid theorem works. This theorem is a new contribution to the field and it may be useful for some specific applications in mathematical and computational physics.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129824691","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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