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Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics最新文献

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Some results on pseudosymmetric normal paracontact metric manifolds 关于伪对称正态旁接触度量流形的一些结果
IF 0.9
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2022-12-30 DOI: 10.31801/cfsuasmas.937043
M. Atc̣eken, Tuğba Mert
{"title":"Some results on pseudosymmetric normal paracontact metric manifolds","authors":"M. Atc̣eken, Tuğba Mert","doi":"10.31801/cfsuasmas.937043","DOIUrl":"https://doi.org/10.31801/cfsuasmas.937043","url":null,"abstract":"TIn this article, the M-projective and Weyl curvature tensors on a normal paracontact metric manifold are discussed. For normal paracontact metric manifolds, pseudosymmetric cases are investigated and some interesting results are obtained. We show that a semisymmetric normal paracontact manifold is of constant sectional curvature. We also obtain that a pseudosymmetric normal paracontact metric manifold is an $eta$-Einstein manifold. Finally, we support our topic with an example.","PeriodicalId":44692,"journal":{"name":"Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47562003","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
Spectral singularities of an impulsive Sturm-Liouville operators 脉冲Sturm-Liouville算子的谱奇异性
IF 0.9
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2022-12-30 DOI: 10.31801/cfsuasmas.1017204
Güler Başak Öznur
{"title":"Spectral singularities of an impulsive Sturm-Liouville operators","authors":"Güler Başak Öznur","doi":"10.31801/cfsuasmas.1017204","DOIUrl":"https://doi.org/10.31801/cfsuasmas.1017204","url":null,"abstract":"In this paper, we handle an impulsive Sturm–Liouville equation with complex potential on the semi axis. The objective of this work is to examine some spectral properties of this impulsive Sturm–Liouville equation. By the help of a transfer matrix B, we obtain Jost solution of this problem. Furthermore, using Jost solution, we find Green function and resolvent operator of this equation. Finally, we consider two unperturbated impulsive Sturm–Liouville operators. We examine the eigenvalues and spectral singularities of these problems.","PeriodicalId":44692,"journal":{"name":"Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47809904","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
Parameter uniform second-order numerical approximation for the integro-differential equations involving boundary layers 边界层积分-微分方程的参数一致二阶数值逼近
IF 0.9
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2022-12-30 DOI: 10.31801/cfsuasmas.1072728
M. Durmaz, M. Çakir, Gabil Ami̇rali̇
{"title":"Parameter uniform second-order numerical approximation for the integro-differential equations involving boundary layers","authors":"M. Durmaz, M. Çakir, Gabil Ami̇rali̇","doi":"10.31801/cfsuasmas.1072728","DOIUrl":"https://doi.org/10.31801/cfsuasmas.1072728","url":null,"abstract":"The work handles a Fredholm integro-differential equation involving boundary layers. A fitted second-order difference scheme has been created on a uniform mesh utilizing interpolating quadrature rules and exponential basis functions. The stability and convergence of the proposed discretization technique are analyzed and one example is solved to display the advantages of the presented technique.","PeriodicalId":44692,"journal":{"name":"Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45932188","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
Set-generated soft subrings of rings 环的集合生成软子
IF 0.9
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2022-12-30 DOI: 10.31801/cfsuasmas.1013172
A. O. Atagün, Hüseyin Kamacı
{"title":"Set-generated soft subrings of rings","authors":"A. O. Atagün, Hüseyin Kamacı","doi":"10.31801/cfsuasmas.1013172","DOIUrl":"https://doi.org/10.31801/cfsuasmas.1013172","url":null,"abstract":"This paper focuses on the set-oriented operations and set-oriented algebraic structures of soft sets. Relatedly, in this paper, firstly some essential properties of $alpha$-intersection of soft set are investigated, where $alpha$ is a non-empty subset of the universal set. Later, by using $alpha$-intersection of soft set, the notion of set-generated soft subring of a ring is introduced. The generators of soft intersections and products of soft subrings are given. Some related properties about generators of soft subrings are investigated and illustrated by several examples.","PeriodicalId":44692,"journal":{"name":"Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43495603","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
Dominator semi strong color partition in graphs 图中的支配子半强颜色划分
IF 0.9
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2022-12-30 DOI: 10.31801/cfsuasmas.1014919
Praba Venkatrengan, Swaminathan Venkatasubramanian, R. Sundareswaran
{"title":"Dominator semi strong color partition in graphs","authors":"Praba Venkatrengan, Swaminathan Venkatasubramanian, R. Sundareswaran","doi":"10.31801/cfsuasmas.1014919","DOIUrl":"https://doi.org/10.31801/cfsuasmas.1014919","url":null,"abstract":"Let GG =(V,E)(V,E) be a simple graph. A subset SS is said to be Semi-Strong if for every vertex vv in VV, |N(v)∩S|≤1|N(v)∩S|≤1, or no two vertices of SS have the same neighbour in VV, that is, no two vertices of SS are joined by a path of length two in VV. The minimum cardinality of a semi-strong partition of GG is called the semi-strong chromatic number of GG and is denoted by χsGχsG. A proper colour partition is called a dominator colour partition if every vertex dominates some colour class, that is , every vertex is adjacent with every element of some colour class. In this paper, instead of proper colour partition, semi-strong colour partition is considered and every vertex is adjacent to some class of the semi-strong colour partition.Several interesting results are obtained.","PeriodicalId":44692,"journal":{"name":"Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43241170","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
Study and suppression of singularities in wave-type evolution equations on non-convex domains with cracks 含裂纹非凸域上波浪型演化方程奇异性的研究与抑制
IF 0.9
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2022-12-30 DOI: 10.31801/cfsuasmas.1049893
Cheikh Seck
{"title":"Study and suppression of singularities in wave-type evolution equations on non-convex domains with cracks","authors":"Cheikh Seck","doi":"10.31801/cfsuasmas.1049893","DOIUrl":"https://doi.org/10.31801/cfsuasmas.1049893","url":null,"abstract":"One of the objectives of this paper is to establish the exact controllability for wave-type evolution equations on non-convex and/or cracked domains with non-concurrent support crack lines. Admittedly, we know that according to the work of Grisvard P., in domains with corners or cracks, the formulas of integrations by parts are subject to geometric conditions: the lines of cracks or their supports must be concurrent. In this paper, we have established the exact controllability for the wave equation in a domain with cracks without these additional geometric conditions.","PeriodicalId":44692,"journal":{"name":"Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44389047","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
(U; V )-Lucas polynomial coefficient relations of the bi-univalent function class 双单价函数类的（U；V）-Lucas多项式系数关系
IF 0.9
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2022-12-30 DOI: 10.31801/cfsuasmas.1086809
A. Akgül, T. G. Shaba
{"title":"(U; V )-Lucas polynomial coefficient relations of the bi-univalent function class","authors":"A. Akgül, T. G. Shaba","doi":"10.31801/cfsuasmas.1086809","DOIUrl":"https://doi.org/10.31801/cfsuasmas.1086809","url":null,"abstract":"In geometric function theory, Lucas polynomials and other special polynomials have recently gained importance. In this study, we develop a new family of bi-univalent functions. Also we examined coefficient inequalities and Fekete-Szegö problem for this new family via these polynomials.","PeriodicalId":44692,"journal":{"name":"Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42875101","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: 1
Approximation properties of the fractional q-integral of Riemann-Liouville integral type Szasz-Mirakyan-Kantorovich operators Riemann-Liouville积分型Szasz-Mirakyan-Kantorovich算子分数阶q积分的近似性质
IF 0.9
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2022-12-30 DOI: 10.31801/cfsuasmas.1067635
M. Kara
{"title":"Approximation properties of the fractional q-integral of Riemann-Liouville integral type Szasz-Mirakyan-Kantorovich operators","authors":"M. Kara","doi":"10.31801/cfsuasmas.1067635","DOIUrl":"https://doi.org/10.31801/cfsuasmas.1067635","url":null,"abstract":"In the present paper, we introduce the fractional q-integral of Riemann-Liouville integral type Szász-Mirakyan-Kantorovich operators. Korovkin-type approximation theorem is given and the order of convergence of these operators are obtained by using Lipschitz-type maximal functions, second order modulus of smoothness and Peetre's K-functional. Weighted approximation properties of these operators in terms of modulus of continuity have been investigated. Then, for these operators, we give a Voronovskaya-type theorem. Moreover, bivariate fractional q- integral Riemann-Liouville fractional integral type Szász-Mirakyan-Kantorovich operators are constructed. The last section is devoted to detailed graphical representation and error estimation results for these 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":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42618963","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 inequalities of Simpson's type for convex functions via generalized fractional integrals 用广义分数积分论凸函数的Simpson型不等式
IF 0.9
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2022-09-30 DOI: 10.31801/cfsuasmas.1004300
Hasan Kara, H. Budak, M. Ali, F. Hezenci
{"title":"On inequalities of Simpson's type for convex functions via generalized fractional integrals","authors":"Hasan Kara, H. Budak, M. Ali, F. Hezenci","doi":"10.31801/cfsuasmas.1004300","DOIUrl":"https://doi.org/10.31801/cfsuasmas.1004300","url":null,"abstract":"Fractional calculus and applications have application areas in many different fields such as physics, chemistry, and engineering as well as mathematics. The application of arithmetic carried out in classical analysis in fractional analysis is very important in terms of obtaining more realistic results in the solution of many problems. In this study, we prove an identity involving generalized fractional integrals by using differentiable functions. By utilizing this identity, we obtain several Simpson’s type inequalities for the functions whose derivatives in absolute value are convex. Finally, we present some new results as the special cases of our main 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":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49256495","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
Associated curves from a different point of view in $E^3$ 从另一个角度看E^3的相关曲线
IF 0.9
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2022-09-30 DOI: 10.31801/cfsuasmas.1026359
S. Şenyurt, Davut Canlı, K. H. Ayvaci
{"title":"Associated curves from a different point of view in $E^3$","authors":"S. Şenyurt, Davut Canlı, K. H. Ayvaci","doi":"10.31801/cfsuasmas.1026359","DOIUrl":"https://doi.org/10.31801/cfsuasmas.1026359","url":null,"abstract":"In this paper, tangent, principal normal and binormal wise associated curves are defined such that each of these vectors of any given curve lies on the osculating, normal and rectifying plane of its partner, respectively. For each associated curve, a new moving frame and the corresponding curvatures are formulated in terms of Frenet frame vectors. In addition to this, the possible solutions for distance functions between the curve and its associated mate are discussed. In particular, it is seen that the involute curves belong to the family of tangent associated curves in general and the Bertrand and the Mannheim curves belong to the principal normal associated curves. Finally, as an application, we present some examples and map a given curve together with its partner and its corresponding moving frame.","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":"46795171","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
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