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Improved error estimate and applications of the complete quartic spline 改进的全四次样条误差估计及其应用
General Letters in Mathematics Pub Date : 2019-12-01 DOI: 10.2478/gm-2019-0016
A. Bica, D. Curila, Z. Satmari
{"title":"Improved error estimate and applications of the complete quartic spline","authors":"A. Bica, D. Curila, Z. Satmari","doi":"10.2478/gm-2019-0016","DOIUrl":"https://doi.org/10.2478/gm-2019-0016","url":null,"abstract":"Abstract In this paper an improved error bound is obtained for the complete quartic spline with deficiency 2, in the less smooth class of continuous functions. In the case of Lipschitzian functions, the obtained estimate improves the constant from Theorem 3, in J. Approx. Theory 58 (1989) 58-67. Some applications of the complete quartic spline in the numerical integration and in the construction of an iterative numerical method for fourth order two-point boundary value problems with pantograph type delay are presented.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"9 1","pages":"71 - 83"},"PeriodicalIF":0.0,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86526719","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
Certain basic information related to the Tremblay operator and some applications in connection therewith 有关Tremblay算子的一些基本信息以及与之相关的一些应用
General Letters in Mathematics Pub Date : 2019-12-01 DOI: 10.2478/gm-2019-0011
H. Irmak
{"title":"Certain basic information related to the Tremblay operator and some applications in connection therewith","authors":"H. Irmak","doi":"10.2478/gm-2019-0011","DOIUrl":"https://doi.org/10.2478/gm-2019-0011","url":null,"abstract":"Abstract In this scientific note, an operator, which is the well-known Tremblay operator in the literature, is first introduced and some of its applications to certain analytic complex functions, which are normalized and analytic in the open unit disk, are then determined. In addition, certain special results of the related applications are also emphasized.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"109 1","pages":"13 - 21"},"PeriodicalIF":0.0,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73052685","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
𝕀*µ open sets in generalized topological spaces 广义拓扑空间中的<s:1>开集
General Letters in Mathematics Pub Date : 2019-12-01 DOI: 10.2478/gm-2019-0013
R. Sen, B. Roy
{"title":"𝕀*µ open sets in generalized topological spaces","authors":"R. Sen, B. Roy","doi":"10.2478/gm-2019-0013","DOIUrl":"https://doi.org/10.2478/gm-2019-0013","url":null,"abstract":"Abstract In this paper we have introduced two new types of sets termed as 𝕀*µ sets and strongly 𝕀*µ -open sets and discussed some of its properties. The relation between similar types of sets, characterizations and some basic properties of such sets have been studied.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"82 1","pages":"35 - 42"},"PeriodicalIF":0.0,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88171199","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
Entropies related to integral operators 与积分算子相关的熵
General Letters in Mathematics Pub Date : 2019-12-01 DOI: 10.2478/gm-2019-0018
M. Dancs, A. Mǎdutǎ
{"title":"Entropies related to integral operators","authors":"M. Dancs, A. Mǎdutǎ","doi":"10.2478/gm-2019-0018","DOIUrl":"https://doi.org/10.2478/gm-2019-0018","url":null,"abstract":"Abstract We consider classical entropies associated with several continuous distributions of probabilities. Explicit expressions and properties of them are presented.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"33 1","pages":"107 - 97"},"PeriodicalIF":0.0,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78883730","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
On Neighbor chromatic number of grid and torus graphs 网格图和环面图的邻色数
General Letters in Mathematics Pub Date : 2019-06-01 DOI: 10.2478/gm-2019-0001
B. Chaluvaraju, C. Appajigowda
{"title":"On Neighbor chromatic number of grid and torus graphs","authors":"B. Chaluvaraju, C. Appajigowda","doi":"10.2478/gm-2019-0001","DOIUrl":"https://doi.org/10.2478/gm-2019-0001","url":null,"abstract":"Abstract A set S ⊆ V is a neighborhood set of a graph G = (V, E), if G = ∪v∈S 〈 N[v] 〉, where 〈 N[v] 〉 is the subgraph of a graph G induced by v and all vertices adjacent to v. A neighborhood set S is said to be a neighbor coloring set if it contains at least one vertex from each color class of a graph G, where color class of a colored graph is the set of vertices having one particular color. The neighbor chromatic number χn (G) is the minimum cardinality of a neighbor coloring set of a graph G. In this article, some results on neighbor chromatic number of Cartesian products of two paths (grid graph) and cycles (torus graphs) are explored.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"57 1","pages":"15 - 3"},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83581229","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
Forgotten topological index and reduced Zagreb index of four new operations of graphs 图的四种新运算的遗忘拓扑指数和减少萨格勒布指数
General Letters in Mathematics Pub Date : 2019-06-01 DOI: 10.2478/gm-2019-0005
A. Bharali, A. Mahanta, J. Buragohain
{"title":"Forgotten topological index and reduced Zagreb index of four new operations of graphs","authors":"A. Bharali, A. Mahanta, J. Buragohain","doi":"10.2478/gm-2019-0005","DOIUrl":"https://doi.org/10.2478/gm-2019-0005","url":null,"abstract":"Abstract Indulal and Balakrishnan (2016) have put forward the Indu-Bala product and based on this product four new operations are defined by the authors of this manuscript in the paper “Four new operations of graphs based on Indu-Bala product and the Zagreb indices”. In this paper we establish explicit formulas of the forgotten topological index and reduced second Zagreb index in connection with these new operations of graphs.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"33 1","pages":"45 - 56"},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87106968","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
Consensus of classical and fractional inequalities having congruity on time scale calculus 时间尺度微积分上具有同余性的经典和分数不等式的一致
General Letters in Mathematics Pub Date : 2019-06-01 DOI: 10.2478/gm-2019-0006
Muhammad Jibril Shahab Sahir
{"title":"Consensus of classical and fractional inequalities having congruity on time scale calculus","authors":"Muhammad Jibril Shahab Sahir","doi":"10.2478/gm-2019-0006","DOIUrl":"https://doi.org/10.2478/gm-2019-0006","url":null,"abstract":"Abstract In this paper, we find accordance of some classical inequalities and fractional dynamic inequalities. We find inequalities such as Radon’s inequality, Bergström’s inequality, Rogers-Hölder’s inequality, Cauchy-Schwarz’s inequality, the weighted power mean inequality and Schlömilch’s inequality in generalized and extended form by using the Riemann-Liouville fractional integrals on time scales.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"20 1","pages":"57 - 69"},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91306558","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
A study of fractional integro-differential equations via Hilfer-Hadamard fractional derivative 用Hilfer-Hadamard分数阶导数研究分数阶积分微分方程
General Letters in Mathematics Pub Date : 2019-06-01 DOI: 10.2478/gm-2019-0007
D. Vivek, K. Kanagarajan, E. Elsayed
{"title":"A study of fractional integro-differential equations via Hilfer-Hadamard fractional derivative","authors":"D. Vivek, K. Kanagarajan, E. Elsayed","doi":"10.2478/gm-2019-0007","DOIUrl":"https://doi.org/10.2478/gm-2019-0007","url":null,"abstract":"Abstract In this paper, we investigate the existence of solution of integro-differential equations (IDEs) with Hilfer-Hadamard fractional derivative. The main results are obtained by using Schaefer’s fixed point theorem. Some Ulam stability results are presented.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"3 1","pages":"71 - 84"},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83688521","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
Some strong and weak form of z-continuity via Cl* 通过Cl*的z-连续性的一些强和弱形式
General Letters in Mathematics Pub Date : 2019-06-01 DOI: 10.2478/gm-2019-0008
A. Prasannan, J. Biswas
{"title":"Some strong and weak form of z-continuity via Cl*","authors":"A. Prasannan, J. Biswas","doi":"10.2478/gm-2019-0008","DOIUrl":"https://doi.org/10.2478/gm-2019-0008","url":null,"abstract":"Abstract This paper mainly dedicated on overview of zero sets in Ideal topological spaces. We also introduce a new class of functions which generalizes the class of continuous functions and investigate its position in the hierarchy of continuous functions on Ideal topological spaces. Moreover, these new sets (zero*-ℐ-set) which is a pragmatic approach to characterize completely Hausdorff spaces.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"42 1","pages":"101 - 85"},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81413585","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
Properties of the intermediate point from a mean value theorem of the integral calculus - II 积分中值定理关于中间点的性质- 2
General Letters in Mathematics Pub Date : 2019-06-01 DOI: 10.2478/gm-2019-0003
Emilia-Loredana Pop, D. Duca, A. Raţiu
{"title":"Properties of the intermediate point from a mean value theorem of the integral calculus - II","authors":"Emilia-Loredana Pop, D. Duca, A. Raţiu","doi":"10.2478/gm-2019-0003","DOIUrl":"https://doi.org/10.2478/gm-2019-0003","url":null,"abstract":"Abstract In this paper we consider two continuous functions f, g : [a, b] → ℝ and we study for these ones, under which circumstances the intermediate point function is four order di erentiable at the point x = a and we calculate its derivative.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"13 1","pages":"29 - 36"},"PeriodicalIF":0.0,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75647808","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
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