. This paper is concerned with sharp solutions to majorization and Fekete-Szeg˝o problems for several relatively new normalized subfamilies of starlike functions. Regarding starlike functions which are subordinated to Sine and Cosine functions, a number of new results are established. The results provide improvements to some recent results. As applications, some interesting deductions are also listed. The findings of this study are thoroughly supported by examples wherever necessary.
{"title":"On sharp solutions to majorization and Fekete-Szegő problems for starlike functions","authors":"Zhi-Gang Wang, Manzoor Hussain, Xiao-Yuan Wang","doi":"10.18514/mmn.2023.3986","DOIUrl":"https://doi.org/10.18514/mmn.2023.3986","url":null,"abstract":". This paper is concerned with sharp solutions to majorization and Fekete-Szeg˝o problems for several relatively new normalized subfamilies of starlike functions. Regarding starlike functions which are subordinated to Sine and Cosine functions, a number of new results are established. The results provide improvements to some recent results. As applications, some interesting deductions are also listed. The findings of this study are thoroughly supported by examples wherever necessary.","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68206648","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
. Let R be a prime ring, I be a nonzero ideal of R , Q be its maximal right ring of quotients and C be its extended centroid. The aim of this paper is to show that if R admits a nonzero b -generalized derivation F such that [ F ( x m ) x n + x n F ( x m ) , x r ] k = 0 for all x ∈ I , where m , n , r , k are fixed positive integers, then there exists λ ∈ C such that F ( x ) = λ x unless R ∼ = M 2 ( GF ( 2 )) , the 2 × 2 matrix ring over the Galois field GF ( 2 ) of two elements.
． 设R是一个素环，I是R的一个非零理想，Q是它的最大商环，C是它的扩展质心。本文的目的是说明如果R承认非零b推导广义F这样[F (x) x n + x n F (x), x R] k = 0 x∈,m, n, R, k是固定的正整数,然后存在λ∈C, F (x) =λx除非R∼= m 2 (GF(2)), 2×2矩阵环的伽罗瓦域GF(2)的两个元素。
{"title":"An Engel condition with b-generalized derivations in prime rings","authors":"Mohammad Salahuddin Khan, A. Khan","doi":"10.18514/mmn.2023.4001","DOIUrl":"https://doi.org/10.18514/mmn.2023.4001","url":null,"abstract":". Let R be a prime ring, I be a nonzero ideal of R , Q be its maximal right ring of quotients and C be its extended centroid. The aim of this paper is to show that if R admits a nonzero b -generalized derivation F such that [ F ( x m ) x n + x n F ( x m ) , x r ] k = 0 for all x ∈ I , where m , n , r , k are fixed positive integers, then there exists λ ∈ C such that F ( x ) = λ x unless R ∼ = M 2 ( GF ( 2 )) , the 2 × 2 matrix ring over the Galois field GF ( 2 ) of two elements.","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68206703","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
. In this paper, we obtain some existence results for multivalued contraction mappings in the context of an O-complete orthogonal metric space (not necessarily complete metric space). Also, we provide a partial solution to Reich’s problem for multivalued orthogonal contraction mappings and extend Mizoguchi-Takahashi’s point theorem. In addition, we give an example to demonstrate the applicability of our established results. We study the solution of a differential equation and its Ulam’s stability as an application of the obtained results.
{"title":"Existence of solutions to multivalued problems in incomplete metric spaces with applications","authors":"S. Chandok","doi":"10.18514/mmn.2023.4052","DOIUrl":"https://doi.org/10.18514/mmn.2023.4052","url":null,"abstract":". In this paper, we obtain some existence results for multivalued contraction mappings in the context of an O-complete orthogonal metric space (not necessarily complete metric space). Also, we provide a partial solution to Reich’s problem for multivalued orthogonal contraction mappings and extend Mizoguchi-Takahashi’s point theorem. In addition, we give an example to demonstrate the applicability of our established results. We study the solution of a differential equation and its Ulam’s stability as an application of the obtained results.","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68206795","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Hermite-Hadamard type inequalities for uniformly convex functions with respect to geodesic in Hadamard space","authors":"H. Barsam, Y. Sayyari, A. Sattarzadeh","doi":"10.18514/mmn.2023.3949","DOIUrl":"https://doi.org/10.18514/mmn.2023.3949","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68205790","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Numerical radius inequalities of operator matrices from a new norm on B(H)","authors":"Pintu Bhunia, A. Bhanja, D. Sain, K. Paul","doi":"10.18514/mmn.2023.3934","DOIUrl":"https://doi.org/10.18514/mmn.2023.3934","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68205911","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Bivariate k-Mittag-Leffler functions with 2D-k-Laguerre-Konhauser polynomials and corresponding k-fractional operators","authors":"Cemaliye Kürt, M. A. Özarslan","doi":"10.18514/mmn.2023.3963","DOIUrl":"https://doi.org/10.18514/mmn.2023.3963","url":null,"abstract":"","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68205957","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
. In this paper, a new generalized Laplace transform is defined and its certain properties are given. By using the new transform, the solutions of fractional Bagley-Torvik and fractional harmonic vibration problems are obtained, as application. Also transformations of some elementary functions and the relationships between the new transform with other generalized Laplace transforms are given in separate tables.
{"title":"A new generalized Laplace transform and its applications to fractional Bagley-Torvik and fractional harmonic vibration problems","authors":"E. Ata, İ. O. Kıymaz","doi":"10.18514/mmn.2023.4099","DOIUrl":"https://doi.org/10.18514/mmn.2023.4099","url":null,"abstract":". In this paper, a new generalized Laplace transform is defined and its certain properties are given. By using the new transform, the solutions of fractional Bagley-Torvik and fractional harmonic vibration problems are obtained, as application. Also transformations of some elementary functions and the relationships between the new transform with other generalized Laplace transforms are given in separate tables.","PeriodicalId":49806,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68207139","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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