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Rocky Mountain Journal of Mathematics最新文献

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TOTALLY p-ADIC ALGEBRAIC NUMBERS OF DEGREE 4 4次的全p进代数数
4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-04-01 DOI: 10.1216/rmj.2023.53.335
Melissa Ault, Darrin Doud
{"title":"TOTALLY p-ADIC ALGEBRAIC NUMBERS OF DEGREE 4","authors":"Melissa Ault, Darrin Doud","doi":"10.1216/rmj.2023.53.335","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.335","url":null,"abstract":"We generalize work of Stacy (Open Book Ser. 4 (2020), 387–401). to obtain upper bounds independent of p for the minimal height of a totally p-adic algebraic number of degree 4. We also compute actual values of this minimal height for small primes p.","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135673143","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}
引用次数: 0
GENERALIZED HERMITE–HADAMARD INCLUSIONS FOR A GENERALIZED FRACTIONAL INTEGRAL 广义分数积分的广义hermite-hadamard内含
4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-04-01 DOI: 10.1216/rmj.2023.53.383
Hüseyin Budak, Hasan Kara, Fatih Hezenci
{"title":"GENERALIZED HERMITE–HADAMARD INCLUSIONS FOR A GENERALIZED FRACTIONAL INTEGRAL","authors":"Hüseyin Budak, Hasan Kara, Fatih Hezenci","doi":"10.1216/rmj.2023.53.383","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.383","url":null,"abstract":"We introduce new generalized fractional integrals for interval-valued functions. Then we prove generalized Hermite–Hadamard type inclusions for interval-valued convex functions using these newly defined generalized fractional integrals. We also show that these results generalize several results obtained in earlier works.","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135673147","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}
引用次数: 0
CYCLIC RICCI SEMISYMMETRIC REAL HYPERSURFACES IN THE COMPLEX QUADRIC 复二次曲面上的循环ricci半对称实超曲面
4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-04-01 DOI: 10.1216/rmj.2023.53.589
Changhwa Woo, Gyu Jong Kim, Young Jin Suh
{"title":"CYCLIC RICCI SEMISYMMETRIC REAL HYPERSURFACES IN THE COMPLEX QUADRIC","authors":"Changhwa Woo, Gyu Jong Kim, Young Jin Suh","doi":"10.1216/rmj.2023.53.589","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.589","url":null,"abstract":"We introduce the notion of cyclic Ricci semisymmetric real hypersurfaces in the complex quadric Qm=SOm+2∕SOmSO2. We also give a classification of real hypersurfaces in the complex quadric Qm=SOm+2∕SOmSO2 with cyclic semisymmetric Ricci tensor.","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135673146","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}
引用次数: 0
NONLINEAR BI-SKEW LIE-TYPE DERIVATIONS ON *-ALGEBRAS *-代数上的非线性双斜lie型导数
IF 0.8 4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-04-01 DOI: 10.1216/rmj.2023.53.647
Jingyi Zhang, Changjing Li
{"title":"NONLINEAR BI-SKEW LIE-TYPE DERIVATIONS ON *-ALGEBRAS","authors":"Jingyi Zhang, Changjing Li","doi":"10.1216/rmj.2023.53.647","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.647","url":null,"abstract":"","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44991125","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}
引用次数: 0
ON CERTAIN q-TRIGONOMETRIC IDENTITIES ANALOGOUS TO THAT OF GOSPER’S 关于某些类似于高斯伯的q-三角恒等式
IF 0.8 4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-04-01 DOI: 10.1216/rmj.2023.53.629
M. V. Yathirajsharma
{"title":"ON CERTAIN q-TRIGONOMETRIC IDENTITIES ANALOGOUS TO THAT OF GOSPER’S","authors":"M. V. Yathirajsharma","doi":"10.1216/rmj.2023.53.629","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.629","url":null,"abstract":"","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44803067","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}
引用次数: 0
EFFICIENTLY FILLING SPACE 有效填充空间
IF 0.8 4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-04-01 DOI: 10.1216/rmj.2023.53.477
P. Humke, Khang V. Huynh, T. Vo
{"title":"EFFICIENTLY FILLING SPACE","authors":"P. Humke, Khang V. Huynh, T. Vo","doi":"10.1216/rmj.2023.53.477","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.477","url":null,"abstract":"","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49137343","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}
引用次数: 0
ON THE LOCAL KREISS RESOLVENT CONDITION 关于局部KREISS预解条件
IF 0.8 4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-04-01 DOI: 10.1216/rmj.2023.53.325
Abdellah Akrym, A. El Bakkali, Abdelkhalek Faouzi
{"title":"ON THE LOCAL KREISS RESOLVENT CONDITION","authors":"Abdellah Akrym, A. El Bakkali, Abdelkhalek Faouzi","doi":"10.1216/rmj.2023.53.325","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.325","url":null,"abstract":"In this paper, we introduce a local version of the Kreiss resolvent condition for Banach space operators and we relate it to the local growth of powers. Also, we introduce a local Yosida approximation and we establish some local results.","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49654432","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}
引用次数: 0
ON THE SOLVABILITY OF VARIABLE EXPONENT DIFFERENTIAL INCLUSION SYSTEMS WITH MULTIVALUED CONVECTION TERM 具有多值对流项的变指数微分包含系统的可解性
IF 0.8 4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-04-01 DOI: 10.1216/rmj.2023.53.449
B. Ge, Wen-Shuo Yuan
{"title":"ON THE SOLVABILITY OF VARIABLE EXPONENT DIFFERENTIAL INCLUSION SYSTEMS WITH MULTIVALUED CONVECTION TERM","authors":"B. Ge, Wen-Shuo Yuan","doi":"10.1216/rmj.2023.53.449","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.449","url":null,"abstract":"","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43752627","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}
引用次数: 0
MORE SOLUTIONS TO NONLINEAR RECURRENCE EQUATIONS 更多非线性递归方程的解
IF 0.8 4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-04-01 DOI: 10.1216/rmj.2023.53.579
C. Withers, S. Nadarajah
{"title":"MORE SOLUTIONS TO NONLINEAR RECURRENCE EQUATIONS","authors":"C. Withers, S. Nadarajah","doi":"10.1216/rmj.2023.53.579","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.579","url":null,"abstract":": Let F ( x ) be any analytic function. Suppose that w is a fixed point of F ( x ), that is, F ( w ) = w . Withers and Nadarajah [ Rocky Mountain Journal of Mathematics , 2021] gave solutions of the recurrence equation x n +1 = F ( x n ) for n = 0 , 1 , 2 , . . . . In this note, we give more general solutions of the form for any u n such that u n /u n +1 → 1 as n → ∞ .","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41676922","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}
引用次数: 0
HOMOGENEITY DEGREE OF HYPERSPACES OF ARCS AND SIMPLE CLOSED CURVES 圆弧和简单闭合曲线超空间的均匀度
4区 数学
Rocky Mountain Journal of Mathematics Pub Date : 2023-04-01 DOI: 10.1216/rmj.2023.53.463
Rodrigo Hernández-Gutiérrez, Alejandro Illanes, Verónica Martínez-de-la-Vega
{"title":"HOMOGENEITY DEGREE OF HYPERSPACES OF ARCS AND SIMPLE CLOSED CURVES","authors":"Rodrigo Hernández-Gutiérrez, Alejandro Illanes, Verónica Martínez-de-la-Vega","doi":"10.1216/rmj.2023.53.463","DOIUrl":"https://doi.org/10.1216/rmj.2023.53.463","url":null,"abstract":"Given a continuum X and n∈ℕ, let Cn(X) (resp. Fn(X)) be the hyperspace of nonempty closed sets with at most n components (resp. n points). Given 1≤m≤n, we consider the quotient space Cn(X)∕Fm(X). The homogeneity degree of X, Hd(X), is the number of orbits of the group of homeomorphisms of X. We discuss lower bounds for the homogeneity degree of the hyperspaces Cn(X), Cn(X)∕Fm(X) when X is a finite graph. In particular, we prove that for a finite graph X: (a)Hd(Cn(X)∕Fm(X))=1 if and only if X is a simple closed curve and n=m=1, (b)Hd(Cn(X)∕Fm(X))=2 if and only if X is an arc and either n=m=1 or n=2 and m∈{1,2}, (c)Hd(Cn(X)∕Fm(X))=3 if and only if X is a simple closed curve and n=m=2, and (d)Hd(Cn(X)∕Fm(X))=4 if and only if X is a simple closed curve, n=2 and m=1.","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135673144","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}
引用次数: 0
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