Pub Date : 2023-01-01DOI: 10.46793/kgjmat2303.409k
Nabanita Konwar, P. Debnath, S. Radenović, H. Aydi
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.
{"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}
Pub Date : 2023-01-01DOI: 10.46793/kgjmat2301.119m
Gashaw A. Mohammedsaleh
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.
设G = (V,E)为P(G)阶≥2的连通图。A. P. Santhakumaran和S. Athisayanathan[?]引入并研究了G的连通绕路数cdn(G)。本文刻画了cdn(G) = 2，绕行直径D(G) = 5,6的连通图G。
{"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}
Pub Date : 2023-01-01DOI: 10.46793/kgjmat2301.131m
A. Mishra, B. Padhy, L. Mishra, U. Misra
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.
{"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}
Pub Date : 2023-01-01DOI: 10.46793/kgjmat2303.403m
Mohammad Hedayetullah Mir, I. Nazir, I. A. Wani
. 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.
． set of polynomials》让P n denote表格P (z) = z(−a) k = 1 Y m n−−z z (k)里,用| a | k≤1和z | |≥1为≤k≤n−m . polynomials》为P (z) = z表格Q n−1 k = k(−z z z)里,用| k |≥1,哪里≤k≤n−1,布朗[2]stated《百康斯坦”问题找到C n P 0 (z)确实如此,那不是其为消失在| z | < C n”。他还把它和C = 1的纸放在同一个纸上。这个问题已经解决了，阿齐兹和扎格[1]。在这篇文章中，我们向阿齐兹和扎格尔的继任者报告了结果。
{"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}
Pub Date : 2023-01-01DOI: 10.46793/kgjmat2303.459h
Abdenour Hamdaoui, A. Benkhaled, M. Terbeche
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.
{"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}
Pub Date : 2023-01-01DOI: 10.46793/kgjmat2305.691g
SORIN G. GAL, VIJAY GUPTA
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.
本文讨论了一类复指数类算子的近似性质。得到了上估计、voronovskaya型公式和精确估计。
{"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}
Pub Date : 2023-01-01DOI: 10.46793/kgjmat2301.057a
Hafida Abbas, Abdelhalim Azzouz, M. B. Zahaf, M. Belmekki
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.
{"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}
Pub Date : 2023-01-01DOI: 10.46793/kgjmat2301.095p
Sameer KUMAR PANDEY, Pradeep Kumar Pandey
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.
本文的目的是利用消张量场研究Kenmotsu流形的接触cr -子流形，并推导出一些结果。
{"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}
Pub Date : 2023-01-01DOI: 10.46793/kgjmat2301.039o
T. Oner, T. Katican, A. Borumand Saeid
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.
{"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}
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.
{"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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：