Pub Date : 2019-04-30DOI: 10.36753/mathenot.559251
Sümeyra Uçar, N. Taş, N. Özgür
Coding/decoding algorithms are of great importance to help in improving information security since information security is a more significant problem in recent years. In this paper we introduce two new coding/decoding algorithms using Fibonacci Q-matrices and R-matrices. Our models are based on the blocked message matrices and the encryption of each message matrix with different keys. These new algorithms will not only increase the security of information but also has high correct ability.
{"title":"A New Application to Coding Theory via Fibonacci and Lucas Numbers","authors":"Sümeyra Uçar, N. Taş, N. Özgür","doi":"10.36753/mathenot.559251","DOIUrl":"https://doi.org/10.36753/mathenot.559251","url":null,"abstract":"Coding/decoding algorithms are of great importance to help in improving information security since information security is a more significant problem in recent years. In this paper we introduce two new coding/decoding algorithms using Fibonacci Q-matrices and R-matrices. Our models are based on the blocked message matrices and the encryption of each message matrix with different keys. These new algorithms will not only increase the security of information but also has high correct ability.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133932358","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 : 2019-04-30DOI: 10.36753/mathenot.559242
Z. Ergul, S. Yuksel
In this work we define a new type of soft covering upper approximation operator and study its basic and topological properties. Comparing with other type of soft covering operation, our soft covering upper approximation is more accurate and have more properties. Based on the new type of soft covering upper approximation operator, we give a new kind of soft covering based rough sets. Also we present an example in medicine which determines the risk of prostate cancer. Our aim is to gain results more reasonable by using upper and lower approximations of a new kind of soft covering based rough sets and to help the doctor to determine that the patient needs biopsy or not.
{"title":"A New Type of Soft Covering Based Rough Sets Applied to Multicriteria Group Decision Making for Medical Diagnosis","authors":"Z. Ergul, S. Yuksel","doi":"10.36753/mathenot.559242","DOIUrl":"https://doi.org/10.36753/mathenot.559242","url":null,"abstract":"In this work we define a new type of soft covering upper approximation operator and study its basic and topological properties. Comparing with other type of soft covering operation, our soft covering upper approximation is more accurate and have more properties. Based on the new type of soft covering upper approximation operator, we give a new kind of soft covering based rough sets. Also we present an example in medicine which determines the risk of prostate cancer. Our aim is to gain results more reasonable by using upper and lower approximations of a new kind of soft covering based rough sets and to help the doctor to determine that the patient needs biopsy or not.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125199464","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 : 2019-04-30DOI: 10.36753/MATHENOT.559237
D. Dhamodharan, N. Taş, R. Krishnakumar
In this paper, we discuss the existence and uniqueness of common fixed-point theorems satisfying implicit relations on 2-cone Banach spaces. Modifying obtained new contractive conditions, we also give an application to the fixed-circle problem.
{"title":"Common Fixed Point Theorems Satisfying Implicit Relations on 2-cone Banach Space with an Application","authors":"D. Dhamodharan, N. Taş, R. Krishnakumar","doi":"10.36753/MATHENOT.559237","DOIUrl":"https://doi.org/10.36753/MATHENOT.559237","url":null,"abstract":"In this paper, we discuss the existence and uniqueness of common fixed-point theorems satisfying implicit relations on 2-cone Banach spaces. Modifying obtained new contractive conditions, we also give an application to the fixed-circle problem.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130128890","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 : 2018-10-31DOI: 10.36753/MATHENOT.476787
Muammer Kula, Sumeyye Kula
There are various forms of Tychonoff objects for an arbitrary set-based topological category. In this paper, any explicit characterization of each of the Tychonoff Objects is given in the topological category of Cauchy spaces. Moreover, we characterize each of them for the category of Cauchy spaces and investigate the relationships among the various Ti, i = 0, 1, 2, 3, 4, PreT2, and T2 (we will refer to it as the usual one) structures are examined in this category.
对于任意基于集合的拓扑范畴，有各种形式的Tychonoff对象。本文给出了柯西空间拓扑范畴中每一个Tychonoff对象的任意显式刻划。此外，我们对它们中的每一个都进行了柯西空间范畴的表征，并研究了在这一类中检查的各种Ti, i = 0,1,2,3,4, PreT2和T2(我们将其称为通常的一个)结构之间的关系。
{"title":"Tychonoff Objects in the Topological Category of Cauchy Spaces","authors":"Muammer Kula, Sumeyye Kula","doi":"10.36753/MATHENOT.476787","DOIUrl":"https://doi.org/10.36753/MATHENOT.476787","url":null,"abstract":"There are various forms of Tychonoff objects for an arbitrary set-based topological category. In this paper, any explicit characterization of each of the Tychonoff Objects is given in the topological category of Cauchy spaces. Moreover, we characterize each of them for the category of Cauchy spaces and investigate the relationships among the various Ti, i = 0, 1, 2, 3, 4, PreT2, and T2 (we will refer to it as the usual one) structures are examined in this category.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130840789","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 : 2018-10-31DOI: 10.36753/mathenot.476779
N. Taş, N. Özgür, Nabil Mlaiki
More recently, the notion of a complex valued Sb-metric space has been introduced and studied. In this paper, we investigate some basic properties of this new space. We study some fixed point results on a complete complex valued Sb-metric space. A common fixed point theorem for two self-mappings on a complete complex valued Sb-metric space is also given.
{"title":"Some Fixed Point Results on Complex Valued Sb-Metric Spaces","authors":"N. Taş, N. Özgür, Nabil Mlaiki","doi":"10.36753/mathenot.476779","DOIUrl":"https://doi.org/10.36753/mathenot.476779","url":null,"abstract":"More recently, the notion of a complex valued Sb-metric space has been introduced and studied. In this paper, we investigate some basic properties of this new space. We study some fixed point results on a complete complex valued Sb-metric space. A common fixed point theorem for two self-mappings on a complete complex valued Sb-metric space is also given.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134397411","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 : 2018-10-31DOI: 10.36753/MATHENOT.476799
K. Madhu
Kung-Traub conjecture states that an iterative method without memory for locating the zero of a scalar equation could achieve convergence order 2d−1, where d is the total number of function evaluations, but proposed algorithm produces convergence order of r+2, where r is a positive integer with three function evaluations for solving quadratic equations, which is better than expected maximum convergence order. Therefore, we show that the conjecture fails for quadratic equations. Also, we extend proposed algorithm to solving systems which involving quadratic equations. We test our methods with some numerical experiments including application to one dimensional and two dimensional Bratu problems.
{"title":"Two-Point Iterative Methods for Solving Quadratic Equations and its Applications","authors":"K. Madhu","doi":"10.36753/MATHENOT.476799","DOIUrl":"https://doi.org/10.36753/MATHENOT.476799","url":null,"abstract":"Kung-Traub conjecture states that an iterative method without memory for locating the zero of a scalar equation could achieve convergence order 2d−1, where d is the total number of function evaluations, but proposed algorithm produces convergence order of r+2, where r is a positive integer with three function evaluations for solving quadratic equations, which is better than expected maximum convergence order. Therefore, we show that the conjecture fails for quadratic equations. Also, we extend proposed algorithm to solving systems which involving quadratic equations. We test our methods with some numerical experiments including application to one dimensional and two dimensional Bratu problems.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122388774","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 : 2018-10-31DOI: 10.36753/mathenot.476784
H. Aslan, A. Guven
The order of approximation of generalized de la Vallee Poussin means of series with nonlinear Fourier basis was investigated in uniform and Holder norms.
研究了具有非线性傅里叶基级数的广义de la Vallee Poussin均值在一致范数和Holder范数下的逼近阶。
{"title":"Some Approximation Properties of Series with Nonlinear Fourier Basis","authors":"H. Aslan, A. Guven","doi":"10.36753/mathenot.476784","DOIUrl":"https://doi.org/10.36753/mathenot.476784","url":null,"abstract":"The order of approximation of generalized de la Vallee Poussin means of series with nonlinear Fourier basis was investigated in uniform and Holder norms.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125596126","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 : 2016-09-23DOI: 10.36753/mathenot.559232
Emrullah Kirklar, Fatih Yılmaz
This note provides formula for determinant and inverse of r-circulant matrices with general sequences of third order. In other words, the study combines many papers in the literature.
{"title":"A General Formula for Determinants and Inverses of r-circulant Matrices with Third Order Recurrences","authors":"Emrullah Kirklar, Fatih Yılmaz","doi":"10.36753/mathenot.559232","DOIUrl":"https://doi.org/10.36753/mathenot.559232","url":null,"abstract":"This note provides formula for determinant and inverse of r-circulant matrices with general sequences of third order. In other words, the study combines many papers in the literature.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126372408","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 : 1900-01-01DOI: 10.36753/mathenot.988711
E. İnce, I. Demir, M. Celik
{"title":"An Application of Path Analysis in Gaugeing Stimulated Travel Demand","authors":"E. İnce, I. Demir, M. Celik","doi":"10.36753/mathenot.988711","DOIUrl":"https://doi.org/10.36753/mathenot.988711","url":null,"abstract":"","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124744929","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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