Pub Date : 2022-12-01DOI: 10.46793/kgjmat2206.943n
H. Nashine, Z. Kadelburg
In this paper, we study generalized FG-contraction conditions for a pair of mappings defined on a family of subsets of a metric space endowed with a directed graph, and discuss coincidence and common fixed point results relaxing the continuity of mappings. The given notions and results are exemplified by suitable models. We apply our results to the problem of existence of solutions of a Fredholm integral inclusion.
{"title":"Multivalued FG-Contraction Mappings on Directed Graphs","authors":"H. Nashine, Z. Kadelburg","doi":"10.46793/kgjmat2206.943n","DOIUrl":"https://doi.org/10.46793/kgjmat2206.943n","url":null,"abstract":"In this paper, we study generalized FG-contraction conditions for a pair of mappings defined on a family of subsets of a metric space endowed with a directed graph, and discuss coincidence and common fixed point results relaxing the continuity of mappings. The given notions and results are exemplified by suitable models. We apply our results to the problem of existence of solutions of a Fredholm integral inclusion.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47394672","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 : 2022-12-01DOI: 10.46793/kgjmat2206.865k
W. Khan
In this article, we introduce a new class of generalized polynomials, ascribed to the new families of generating functions and identities concerning Lagrange, Hermite, Miller-Lee, and Laguerre polynomials and of their associated forms. It is shown that the proposed method allows the derivation of sum rules involving products of generalized polynomials and addition theorems. We develop a point of view based on generating relations, exploited in the past, to study some aspects of the theory of special functions. The possibility of extending the results to include generating functions involving products of Lagrange-based unified Apostol-type and other polynomials is finally analyzed.
{"title":"On Generalized Lagrange-Based Apostol-type and Related Polynomials","authors":"W. Khan","doi":"10.46793/kgjmat2206.865k","DOIUrl":"https://doi.org/10.46793/kgjmat2206.865k","url":null,"abstract":"In this article, we introduce a new class of generalized polynomials, ascribed to the new families of generating functions and identities concerning Lagrange, Hermite, Miller-Lee, and Laguerre polynomials and of their associated forms. It is shown that the proposed method allows the derivation of sum rules involving products of generalized polynomials and addition theorems. We develop a point of view based on generating relations, exploited in the past, to study some aspects of the theory of special functions. The possibility of extending the results to include generating functions involving products of Lagrange-based unified Apostol-type and other polynomials is finally analyzed.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48613504","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 : 2022-12-01DOI: 10.46793/kgjmat2206.969r
N. A. Rather, Ishfaq Dar, A. Iqbal
In this paper, certain new results concerning the maximum modulus of the polar derivative of a polynomial with restricted zeros are obtained. These estimates strengthen some well known inequalities for polynomial due to Turán, Dubinin and others.
{"title":"Some Extensions of a Theorem of Paul Turán Concerning Polynomials","authors":"N. A. Rather, Ishfaq Dar, A. Iqbal","doi":"10.46793/kgjmat2206.969r","DOIUrl":"https://doi.org/10.46793/kgjmat2206.969r","url":null,"abstract":"In this paper, certain new results concerning the maximum modulus of the polar derivative of a polynomial with restricted zeros are obtained. These estimates strengthen some well known inequalities for polynomial due to Turán, Dubinin and others.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46522217","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 : 2022-08-01DOI: 10.46793/kgjmat2204.533b
S. Barootkoob, E. Karapınar, H. Lakzian, A. Chanda
In this article, we conceive the notion of a generalized (α, ψ, q)-MeirKeeler contractive mapping and then we investigate a fixed point theorem involving such kind of contractions in the setting of a complete metric space via a w-distance. Our obtained result extends and generalizes some of the previously derived fixed point theorems in the literature via w-distances. In addition, to validate the novelty of our findings, we illustrate a couple of constructive numerical examples. Moreover, as an application, we employ the achieved result to earn the existence criteria of the solution of a kind of non-linear Fredholm integral equation.
{"title":"Extensions of Meir-Keeler Contraction via w-Distances with an Application","authors":"S. Barootkoob, E. Karapınar, H. Lakzian, A. Chanda","doi":"10.46793/kgjmat2204.533b","DOIUrl":"https://doi.org/10.46793/kgjmat2204.533b","url":null,"abstract":"In this article, we conceive the notion of a generalized (α, ψ, q)-MeirKeeler contractive mapping and then we investigate a fixed point theorem involving such kind of contractions in the setting of a complete metric space via a w-distance. Our obtained result extends and generalizes some of the previously derived fixed point theorems in the literature via w-distances. In addition, to validate the novelty of our findings, we illustrate a couple of constructive numerical examples. Moreover, as an application, we employ the achieved result to earn the existence criteria of the solution of a kind of non-linear Fredholm integral equation.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43785412","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 : 2022-08-01DOI: 10.46793/kgjmat2204.575k
P. Kavyasree, B. Surender Reddy
The concept of N-fuzzy sets is a good mathematical tool to deal with uncertainties that use the co-domain [−1, 0] for the membership function. The notion of N-cubic sets is defined by combining interval-valued N-fuzzy sets and N-fuzzy sets. Using this N-cubic sets, we initiate a new theory called N-cubic linear spaces. Motivated by the notion of cubic linear spaces we define P-union (resp. R-union), P-intersection (resp. R-intersection) of N-cubic linear spaces. The notion of internal and external N-cubic linear spaces and their properties are investigated.
{"title":"N-Cubic Sets Applied to Linear Spaces","authors":"P. Kavyasree, B. Surender Reddy","doi":"10.46793/kgjmat2204.575k","DOIUrl":"https://doi.org/10.46793/kgjmat2204.575k","url":null,"abstract":"The concept of N-fuzzy sets is a good mathematical tool to deal with uncertainties that use the co-domain [−1, 0] for the membership function. The notion of N-cubic sets is defined by combining interval-valued N-fuzzy sets and N-fuzzy sets. Using this N-cubic sets, we initiate a new theory called N-cubic linear spaces. Motivated by the notion of cubic linear spaces we define P-union (resp. R-union), P-intersection (resp. R-intersection) of N-cubic linear spaces. The notion of internal and external N-cubic linear spaces and their properties are investigated.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44152100","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 : 2022-08-01DOI: 10.46793/kgjmat2204.507s
Faisal Susanto, K. Wijaya, Prasanti Mia Purnama, S. S
A distance irregular k-labeling of a graph G is a function f : V (G) → {1, 2, . . . , k} such that the weights of all vertices are distinct. The weight of a vertex v, denoted by wt(v), is the sum of labels of all vertices adjacent to v (distance 1 from v), that is, wt(v) = P u∈N(v) f(u). If the graph G admits a distance irregular labeling then G is called a distance irregular graph. The distance irregularity strength of G is the minimum k for which G has a distance irregular k-labeling and is denoted by dis(G). In this paper, we derive a new lower bound of distance irregularity strength for graphs with t pendant vertices. We also determine the distance irregularity strength of some families of disconnected graphs namely disjoint union of paths, suns, helms and friendships.
图G的距离不规则k标记是函数f: V (G)→{1,2，…。， k}使得所有顶点的权值不同。顶点v的权值用wt(v)表示，它是与v相邻的所有顶点(到v的距离为1)的标签之和，即wt(v) = P u∈N(v) f(u)。如果图G允许距离不规则标记，则称其为距离不规则图。G的距离不规则强度是G具有距离不规则k标记的最小k，用dis(G)表示。本文导出了具有t个垂顶点的图的距离不规则性强度的一个新的下界。我们还确定了一些不连通图族的距离不规则强度，即路径、太阳、舵和友谊的不连通并。
{"title":"On Distance Irregular Labeling of Disconnected Graphs","authors":"Faisal Susanto, K. Wijaya, Prasanti Mia Purnama, S. S","doi":"10.46793/kgjmat2204.507s","DOIUrl":"https://doi.org/10.46793/kgjmat2204.507s","url":null,"abstract":"A distance irregular k-labeling of a graph G is a function f : V (G) → {1, 2, . . . , k} such that the weights of all vertices are distinct. The weight of a vertex v, denoted by wt(v), is the sum of labels of all vertices adjacent to v (distance 1 from v), that is, wt(v) = P u∈N(v) f(u). If the graph G admits a distance irregular labeling then G is called a distance irregular graph. The distance irregularity strength of G is the minimum k for which G has a distance irregular k-labeling and is denoted by dis(G). In this paper, we derive a new lower bound of distance irregularity strength for graphs with t pendant vertices. We also determine the distance irregularity strength of some families of disconnected graphs namely disjoint union of paths, suns, helms and friendships.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41407738","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 : 2022-08-01DOI: 10.46793/kgjmat2204.549t
M. Talaee, Mehdi Shabibi, Alireza Gilani, S. Rezapour
We should try to increase our abilities in solving of complicate differential equations. One type of complicate equations are multi-singular pointwise defined fractional differential equations. We investigate the existence of solutions for a multi-singular pointwise defined fractional differential equation with multi-points boundary conditions. We provide an example to illustrate our main result.
{"title":"Investigation the Existence of a Solution for a Multi-Singular Fractional Differential Equation with Multi-Points Boundary Conditions","authors":"M. Talaee, Mehdi Shabibi, Alireza Gilani, S. Rezapour","doi":"10.46793/kgjmat2204.549t","DOIUrl":"https://doi.org/10.46793/kgjmat2204.549t","url":null,"abstract":"We should try to increase our abilities in solving of complicate differential equations. One type of complicate equations are multi-singular pointwise defined fractional differential equations. We investigate the existence of solutions for a multi-singular pointwise defined fractional differential equation with multi-points boundary conditions. We provide an example to illustrate our main result.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42353171","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 : 2022-08-01DOI: 10.46793/kgjmat2204.635r
K. Rouibah, A. Bellour, P. Lima, E. Rawashdeh
This paper is concerned with the numerical solution of nonlinear Volterra integral equations. The main purpose of this work is to provide a new numerical approach based on the use of continuous collocation Lagrange polynomials for the numerical solution of nonlinear Volterra integral equations. It is shown that this method is convergent. The results are compared with the results obtained by other well-known numerical methods to prove the effectiveness of the presented algorithm.
{"title":"Iterative Continuous Collocation Method for Solving Nonlinear Volterra Integral Equations","authors":"K. Rouibah, A. Bellour, P. Lima, E. Rawashdeh","doi":"10.46793/kgjmat2204.635r","DOIUrl":"https://doi.org/10.46793/kgjmat2204.635r","url":null,"abstract":"This paper is concerned with the numerical solution of nonlinear Volterra integral equations. The main purpose of this work is to provide a new numerical approach based on the use of continuous collocation Lagrange polynomials for the numerical solution of nonlinear Volterra integral equations. It is shown that this method is convergent. The results are compared with the results obtained by other well-known numerical methods to prove the effectiveness of the presented algorithm.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49539920","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 : 2022-08-01DOI: 10.46793/kgjmat2204.525a
Eman Alzedan, M. Mabrouk
{"title":"Maps Preserving the Spectrum of Skew Lie Product of Operators","authors":"Eman Alzedan, M. Mabrouk","doi":"10.46793/kgjmat2204.525a","DOIUrl":"https://doi.org/10.46793/kgjmat2204.525a","url":null,"abstract":"","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47627953","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 : 2022-08-01DOI: 10.46793/kgjmat2204.605p
Laxmipriya Parida, T. Bulboacă, Ashok KUMAR SAHOO
Using the operator L(a, c) defined by Carlson and Shaffer, we defined a new subclass of analytic functions ML(λ, a, c). The well known Fekete-Szegö problem, upper bound of Hankel determinant of order two, and coefficient bound of the fourth coefficient is determined. Our investigation generalises some previous results obtained in different articles.
{"title":"Hankel Determinants for a New Subclasses of Analytic Functions Involving a Linear Operator","authors":"Laxmipriya Parida, T. Bulboacă, Ashok KUMAR SAHOO","doi":"10.46793/kgjmat2204.605p","DOIUrl":"https://doi.org/10.46793/kgjmat2204.605p","url":null,"abstract":"Using the operator L(a, c) defined by Carlson and Shaffer, we defined a new subclass of analytic functions ML(λ, a, c). The well known Fekete-Szegö problem, upper bound of Hankel determinant of order two, and coefficient bound of the fourth coefficient is determined. Our investigation generalises some previous results obtained in different articles.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47405515","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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