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On the solutions of the q-analogue of the telegraph differential equation 电报微分方程的q-相似解
IF 0.9
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2022-09-30 DOI: 10.31801/cfsuasmas.1009068
D. Karahan
{"title":"On the solutions of the q-analogue of the telegraph differential equation","authors":"D. Karahan","doi":"10.31801/cfsuasmas.1009068","DOIUrl":"https://doi.org/10.31801/cfsuasmas.1009068","url":null,"abstract":"In this work, q-analogue of the telegraph differential equation is investigated. The approximation solution of q-analogue of the telegraph differential equation is founded by using the Laplace transform collocation method (LTCM). Then, the exact solution is compared with the approximation solution for q-analogue of the telegraph differential equation. The results showed that the method is useful and effective for q-analogue of the telegraph differential equation.","PeriodicalId":44692,"journal":{"name":"Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42878011","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}
引用次数: 0
On the maximum modulus of a complex polynomial 关于复多项式的最大模
IF 0.9
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2022-09-30 DOI: 10.31801/cfsuasmas.989344
S. Malik, Ashish Kumar
{"title":"On the maximum modulus of a complex polynomial","authors":"S. Malik, Ashish Kumar","doi":"10.31801/cfsuasmas.989344","DOIUrl":"https://doi.org/10.31801/cfsuasmas.989344","url":null,"abstract":"In this paper we impose distinct restrictions on the moduli of the zeros of p(z)=n∑v=0avzvp(z)=∑v=0navzv and investigate the dependence of ∥p(Rz)−p(σz)∥‖p(Rz)−p(σz)‖, R>σ≥1R>σ≥1 on MαMα and Mα+πMα+π, where Mα=max1≤k≤n|p(ei(α+2kπ)/n)|Mα=max1≤k≤n|p(ei(α+2kπ)/n)| and on certain coefficients of p(z)p(z). This paper comprises several results, which in particular yields some classical polynomial inequalities as special cases. Moreover, the problem of estimating p(1−wn)p(1−wn), $0<wleq$ given $p(1)=0$ is considered.","PeriodicalId":44692,"journal":{"name":"Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42537405","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}
引用次数: 0
On eigenfunctions of Hill's equation with symmetric double well potential 对称双阱势Hill方程的本征函数
IF 0.9
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2022-09-30 DOI: 10.31801/cfsuasmas.974409
A. Kabataş
{"title":"On eigenfunctions of Hill's equation with symmetric double well potential","authors":"A. Kabataş","doi":"10.31801/cfsuasmas.974409","DOIUrl":"https://doi.org/10.31801/cfsuasmas.974409","url":null,"abstract":"Throughout this paper the asymptotic approximations for eigen- functions of eigenvalue problems associated with Hill’s equation satisfying periodic and semi-periodic boundary conditions are derived when the potential is symmetric double well. These approximations are used to determine the Green’s functions of the related problems. Then, the obtained results are adapted to the Whittaker-Hill equation which has the symmetric double well potential and is widely investigated in the literature.","PeriodicalId":44692,"journal":{"name":"Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47669460","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}
引用次数: 0
On difference of bivariate linear positive operators 关于二元线性正算子的差分
IF 0.9
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2022-09-30 DOI: 10.31801/cfsuasmas.992524
Saheed Olaosebikan Aremu, A. Olgun
{"title":"On difference of bivariate linear positive operators","authors":"Saheed Olaosebikan Aremu, A. Olgun","doi":"10.31801/cfsuasmas.992524","DOIUrl":"https://doi.org/10.31801/cfsuasmas.992524","url":null,"abstract":"In the present paper we give quantitative type theorems for the differences of different bivariate positive linear operators by using weighted modulus of continuity. Similar estimates are obtained via K-functional and for Chebyshev functionals. Moreover, an example involving Szasz and Szasz-Kantorovich operators is given.","PeriodicalId":44692,"journal":{"name":"Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45311481","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}
引用次数: 0
Role of ideals on $sigma$-topological spaces 理想在$sigma$拓扑空间上的作用
IF 0.9
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2022-09-30 DOI: 10.31801/cfsuasmas.1038097
Chhapikul Miah, Md. Monirul Islam, S. Modak, Sukalyan Mistry
{"title":"Role of ideals on $sigma$-topological spaces","authors":"Chhapikul Miah, Md. Monirul Islam, S. Modak, Sukalyan Mistry","doi":"10.31801/cfsuasmas.1038097","DOIUrl":"https://doi.org/10.31801/cfsuasmas.1038097","url":null,"abstract":"In this writeup, we have discussed the role of ideals on $sigma$-topological spaces. Using this idea, we have also studied and discussed two operators $()^{*sigma}$ and $psi_{sigma}$. We have extended this concept to a new generalized set and investigated some basic properties of these concepts using $()^{*sigma}$ and $psi_{sigma}$ operators.","PeriodicalId":44692,"journal":{"name":"Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43275424","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}
引用次数: 0
Power series methods and statistical limit superior 幂级数方法和统计极限优越
IF 0.9
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2022-09-30 DOI: 10.31801/cfsuasmas.1036338
Nilay Şahin Bayram
{"title":"Power series methods and statistical limit superior","authors":"Nilay Şahin Bayram","doi":"10.31801/cfsuasmas.1036338","DOIUrl":"https://doi.org/10.31801/cfsuasmas.1036338","url":null,"abstract":"Given a real bounded sequence $x=(x_{j})$ and an infinite matrix $A=(a_{nj})$ Knopp core theorem is equivalent to study the inequality $limsup{Ax} ≤ limsup{x}.$ Recently Fridy and Orhan [6] have considered some variants of this inequality by replacing $limsup{x}$ with statistical limit superior $st - limsup{x}$. In the present paper we examine similar type of inequalities by employing a power series method $P$; a non-matrix sequence-to-function transformation, in place of $A =(a_{nj})$ .","PeriodicalId":44692,"journal":{"name":"Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48918604","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}
引用次数: 0
A new system of generalized nonlinear variational inclusion problems in semi-inner product spaces 半内积空间中一类新的广义非线性变分包含问题
IF 0.9
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2022-09-30 DOI: 10.31801/cfsuasmas.941310
S. Shafi
{"title":"A new system of generalized nonlinear variational inclusion problems in semi-inner product spaces","authors":"S. Shafi","doi":"10.31801/cfsuasmas.941310","DOIUrl":"https://doi.org/10.31801/cfsuasmas.941310","url":null,"abstract":"In this work we reflect a new system of generalized nonlinear variational inclusion problems in 2-uniformly smooth Banach spaces. By using resolvent operator technique, we offer an iterative algorithm for figuring out the approximate solution of the said system. The motive of this paper is to review the convergence analysis of a system of generalized nonlinear variational inclusion problems in 2-uniformly smooth Banach spaces. The proposition used in this paper can be considered as an extension of propositions for examining the existence of solution for various classes of variational inclusions considered and studied by many authors in 2-uniformly smooth Banach spaces.","PeriodicalId":44692,"journal":{"name":"Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48128694","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}
引用次数: 0
A novel analysis of integral inequalities in the frame of fractional calculus 分数微积分框架下积分不等式的一种新分析
IF 0.9
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2022-06-30 DOI: 10.31801/cfsuasmas.975700
B. Kodamasingh, M. Tariq, Jamshed Nasir, S. Sahoo
{"title":"A novel analysis of integral inequalities in the frame of fractional calculus","authors":"B. Kodamasingh, M. Tariq, Jamshed Nasir, S. Sahoo","doi":"10.31801/cfsuasmas.975700","DOIUrl":"https://doi.org/10.31801/cfsuasmas.975700","url":null,"abstract":"In this paper, we define and explore the new family of exponentially convex functions which are called exponentially s–convex functions. We attain the amazing examples and algebraic properties of this newly introduced function. In addition, we find a novel version of Hermite-Hadamard type inequality in the support of this newly introduced concept via the frame of classical and fractional calculus (non-conformable and Riemann-Liouville integrals operator). Furthermore, we investigate refinement of Hermite-Hadamard type inequality by using exponentially s–convex functions via fractional integraloperator. Finally, we elaborate some Ostrowski type inequalities in the frame of fractional calculus. These new results yield us some generalizations of the prior results.","PeriodicalId":44692,"journal":{"name":"Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49347870","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}
引用次数: 0
Approximation by Szasz-Mirakjan-Durrmeyer operators based on shape parameter $lambda$ Szasz-Mirakjan-Durrmeyer算子基于形状参数$lambda的逼近$
IF 0.9
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2022-06-30 DOI: 10.31801/cfsuasmas.941919
R. Aslan
{"title":"Approximation by Szasz-Mirakjan-Durrmeyer operators based on shape parameter $lambda$","authors":"R. Aslan","doi":"10.31801/cfsuasmas.941919","DOIUrl":"https://doi.org/10.31801/cfsuasmas.941919","url":null,"abstract":"In this\u0000paper, we study several approximation properties of\u0000Szasz-Mirakjan-Durrmeyer operators with shape parameter λ∈[−1,1]λ∈[−1,1]. Firstly, we obtain some preliminaries results such as moments and\u0000central moments. Next, we estimate\u0000the order of convergence in terms of the usual modulus of continuity, for the\u0000functions belong to Lipschitz type class and Peetre's K-functional, respectively. Also, we prove a Korovkin type approximation theorem on weighted spaces and derive a Voronovskaya type asymptotic theorem for these operators. Finally, we give the comparison of the convergence of these newly defined operators to the certain functions with some graphics and error of approximation table.","PeriodicalId":44692,"journal":{"name":"Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41467240","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}
引用次数: 4
Some fixed point theorems on orthogonal metric spaces via extensions of orthogonal contractions 正交度量空间上的不动点定理
IF 0.9
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2022-06-30 DOI: 10.31801/cfsuasmas.970219
Nurcan BİLGİLİ GÜNGÖR
{"title":"Some fixed point theorems on orthogonal metric spaces via extensions of orthogonal contractions","authors":"Nurcan BİLGİLİ GÜNGÖR","doi":"10.31801/cfsuasmas.970219","DOIUrl":"https://doi.org/10.31801/cfsuasmas.970219","url":null,"abstract":"Orthogonal metric space is a considerable generalization of a usual metric space obtained by establishing a perpendicular relation on a set. Very recently, the notions of orthogonality of the set and orthogonality of the metric space are described and notable fixed point theorems are given in orthogonal metric spaces. Some fixed point theorems for the generalizations of contraction principle via altering distance functions on orthogonal metric spaces are presented and proved in this paper. Furthermore, an example is presented to clarify these theorems.","PeriodicalId":44692,"journal":{"name":"Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42432891","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}
引用次数: 3
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