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A New Extension of Banach-Caristi Theorem and its Application to Nonlinear Functional Equations Banach-Caristi定理的新推广及其在非线性泛函方程中的应用
IF 0.7
Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.46793/kgjmat2303.409k
Nabanita Konwar, P. Debnath, S. Radenović, H. Aydi
{"title":"A New Extension of Banach-Caristi Theorem and its Application to Nonlinear Functional Equations","authors":"Nabanita Konwar, P. Debnath, S. Radenović, H. Aydi","doi":"10.46793/kgjmat2303.409k","DOIUrl":"https://doi.org/10.46793/kgjmat2303.409k","url":null,"abstract":"In this paper, we present a new extension of Banach-Caristi type theorem for multivalued mappings. We show that our result is not a consequence of multivalued version of Banach contraction principle due to Nadler. We provide an application of our result to the solution of functional equations.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70588711","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
Characterization of Graphs of Connected Detour Number 2 连通绕行数2图的表征
IF 0.7
Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.46793/kgjmat2301.119m
Gashaw A. Mohammedsaleh
{"title":"Characterization of Graphs of Connected Detour Number 2","authors":"Gashaw A. Mohammedsaleh","doi":"10.46793/kgjmat2301.119m","DOIUrl":"https://doi.org/10.46793/kgjmat2301.119m","url":null,"abstract":"Let G = (V,E) be a connected graph of order P(G) ≥ 2. The connected detour number of G, denoted cdn(G), is introduced and studied by A. P. Santhakumaran and S. Athisayanathan [?]. In this paper, we characterize connected graph G of cdn(G) = 2 and of detour diameter D(G) = 5, 6.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41576858","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 Degree of Approximation of Signals in the Generalized Zygmund Class by Using (E, r)(N,q_n) Mean 关于广义Zygmund类信号的（E，r）（N，q_N）均值逼近度
IF 0.7
Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.46793/kgjmat2301.131m
A. Mishra, B. Padhy, L. Mishra, U. Misra
{"title":"On Degree of Approximation of Signals in the Generalized Zygmund Class by Using (E, r)(N,q_n) Mean","authors":"A. Mishra, B. Padhy, L. Mishra, U. Misra","doi":"10.46793/kgjmat2301.131m","DOIUrl":"https://doi.org/10.46793/kgjmat2301.131m","url":null,"abstract":"In the present article, we have established a result on degree of approximation of function (or signal) in the generalized Zygmund class Zl(m),(l ≥ 1) by using (E,r)(N,qn)- mean of Trigonometric Fourier series.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44159163","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 Zero Free Regions for Derivatives of a Polynomial 多项式导数的零自由区域
IF 0.7
Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.46793/kgjmat2303.403m
Mohammad Hedayetullah Mir, I. Nazir, I. A. Wani
{"title":"On Zero Free Regions for Derivatives of a Polynomial","authors":"Mohammad Hedayetullah Mir, I. Nazir, I. A. Wani","doi":"10.46793/kgjmat2303.403m","DOIUrl":"https://doi.org/10.46793/kgjmat2303.403m","url":null,"abstract":". Let P n denote the set of polynomials of the form p ( z ) = ( z − a ) m n − m Y k =1 ( z − z k ) , with | a | ≤ 1 and | z k | ≥ 1 for 1 ≤ k ≤ n − m. For the polynomials of the form p ( z ) = z Q n − 1 k =1 ( z − z k ) , with | z k | ≥ 1, where 1 ≤ k ≤ n − 1, Brown [2] stated the problem “Find the best constant C n such that p 0 ( z ) does not vanish in | z | < C n ”. He also conjectured in the same paper that C n = 1 n . This problem was solved by Aziz and Zarger [1]. In this paper, we obtain the results which generalizes the results of Aziz and Zarger.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70588667","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 Minimaxity and Limit of Risks Ratio of James-Stein Estimator Under the Balanced Loss Function 平衡损失函数下James-Stein估计风险比的极小值和极限
IF 0.7
Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.46793/kgjmat2303.459h
Abdenour Hamdaoui, A. Benkhaled, M. Terbeche
{"title":"On Minimaxity and Limit of Risks Ratio of James-Stein Estimator Under the Balanced Loss Function","authors":"Abdenour Hamdaoui, A. Benkhaled, M. Terbeche","doi":"10.46793/kgjmat2303.459h","DOIUrl":"https://doi.org/10.46793/kgjmat2303.459h","url":null,"abstract":"The problem of estimating the mean of a multivariate normal distribution by different types of shrinkage estimators is investigated. Under the balanced loss function, we establish the minimaxity of the James-Stein estimator. When the dimension of the parameters space and the sample size tend to infinity, we study the asymptotic behavior of risks ratio of James-Stein estimator to the maximum likelihood estimator. The positive-part of James-Stein estimator is also treated.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70589091","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 an Exponential-Type Complex Operators 指数型复算子的近似
Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.46793/kgjmat2305.691g
SORIN G. GAL, VIJAY GUPTA
{"title":"Approximation by an Exponential-Type Complex Operators","authors":"SORIN G. GAL, VIJAY GUPTA","doi":"10.46793/kgjmat2305.691g","DOIUrl":"https://doi.org/10.46793/kgjmat2305.691g","url":null,"abstract":"In the present paper, we discuss the approximation properties of a complex exponential kind operator. Upper estimate, Voronovskaya-type formula and exact estimate are obtained.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135843436","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
Generalized Extended Riemann-Liouville Type Fractional Derivative Operator 广义扩展Riemann-Liouville型分数阶导数算子
IF 0.7
Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.46793/kgjmat2301.057a
Hafida Abbas, Abdelhalim Azzouz, M. B. Zahaf, M. Belmekki
{"title":"Generalized Extended Riemann-Liouville Type Fractional Derivative Operator","authors":"Hafida Abbas, Abdelhalim Azzouz, M. B. Zahaf, M. Belmekki","doi":"10.46793/kgjmat2301.057a","DOIUrl":"https://doi.org/10.46793/kgjmat2301.057a","url":null,"abstract":"In this paper, we present new extensions of incomplete gamma, beta, Gauss hypergeometric, confluent hypergeometric function and Appell-Lauricella hypergeometric functions, by using the extended Bessel function due to Boudjelkha [?]. Some recurrence relations, transformation formulas, Mellin transform and integral representations are obtained for these generalizations. Further, an extension of the Riemann-Liouville fractional derivative operator is established.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45293652","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 Contact CR-Submanifold of a Kenmotsu Manifold with Killing Tensor Field 具有Killing张量场的Kenmotsu流形的接触CR子流形
IF 0.7
Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.46793/kgjmat2301.095p
Sameer KUMAR PANDEY, Pradeep Kumar Pandey
{"title":"On Contact CR-Submanifold of a Kenmotsu Manifold with Killing Tensor Field","authors":"Sameer KUMAR PANDEY, Pradeep Kumar Pandey","doi":"10.46793/kgjmat2301.095p","DOIUrl":"https://doi.org/10.46793/kgjmat2301.095p","url":null,"abstract":"The object of this paper is to study the Contact CR-submanifold of a Kenmotsu manifold with the help of a killing tensor field and deduce some results.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47840046","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
(Fuzzy) Filters of Sheffer Stroke BL-Algebras Sheffer冲程bl -代数的(模糊)滤波器
IF 0.7
Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.46793/kgjmat2301.039o
T. Oner, T. Katican, A. Borumand Saeid
{"title":"(Fuzzy) Filters of Sheffer Stroke BL-Algebras","authors":"T. Oner, T. Katican, A. Borumand Saeid","doi":"10.46793/kgjmat2301.039o","DOIUrl":"https://doi.org/10.46793/kgjmat2301.039o","url":null,"abstract":"In this study, some (fuzzy) filters of a Sheffer stroke BL-algebra and its properties are presented. To show a relationship between a filter and a fuzzy filter of Sheffer stroke BL-algebra, we prove that f is a fuzzy (ultra) filter of C if and only if fp is either empty or a (ultra) filter of C for each p ∈ [0, 1], and it is satisfied for p = f(1) and for the characteristic function of a nonempty subset of a Sheffer stroke BL-algebra.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46839809","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: 8
Difference Analogues of Second Main Theorem and Picard Type Theorem for Slowly Moving Periodic Targets 慢运动周期目标的第二主定理和Picard型定理的差分类似
Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.46793/kgjmat2305.755p
DUC THOAN PHAM, DANG TUYEN NGUYEN, THI TUYET LUONG
{"title":"Difference Analogues of Second Main Theorem and Picard Type Theorem for Slowly Moving Periodic Targets","authors":"DUC THOAN PHAM, DANG TUYEN NGUYEN, THI TUYET LUONG","doi":"10.46793/kgjmat2305.755p","DOIUrl":"https://doi.org/10.46793/kgjmat2305.755p","url":null,"abstract":"In this paper, we show some Second main theorems for linearly nondegenerate meromorphic mappings over the field ????c1 of c-periodic meromorphic functions having their hyper-orders strictly less than one in ℂm intersecting slowly moving targets in ℙn(ℂ). As an application, we give some Picard type theorems for meromorphic mappings of ℂm into ℙn(ℂ) under the growth condition hyper-order less than one.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"82 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135843435","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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