{"title":"关于具有广义oreme数的Toeplitz矩阵的范数","authors":"Sevda Aktaş, Y. Soykan","doi":"10.9734/ajarr/2023/v17i10532","DOIUrl":null,"url":null,"abstract":"In this article, we present results on Toeplitz matrices with Oresme numbers components. First, the Toeplitz matrices with Oresme numbers components are created and then the Frobenius(Euclidian), row and column norms of these matrices are found. Furthermore lower and upper bounds are obtained for the spectral norms of these matrices. In addition, the upper bounds for the Frobenius and spectral norms of the Kronecker and Hadamard product matrices of the Toeplitz matrices with the Oresme numbers are calculated.","PeriodicalId":190996,"journal":{"name":"Asian Journal of Advanced Research and Reports","volume":"78 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Norms of Toeplitz Matrices with the Generalized Oresme Numbers\",\"authors\":\"Sevda Aktaş, Y. Soykan\",\"doi\":\"10.9734/ajarr/2023/v17i10532\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we present results on Toeplitz matrices with Oresme numbers components. First, the Toeplitz matrices with Oresme numbers components are created and then the Frobenius(Euclidian), row and column norms of these matrices are found. Furthermore lower and upper bounds are obtained for the spectral norms of these matrices. In addition, the upper bounds for the Frobenius and spectral norms of the Kronecker and Hadamard product matrices of the Toeplitz matrices with the Oresme numbers are calculated.\",\"PeriodicalId\":190996,\"journal\":{\"name\":\"Asian Journal of Advanced Research and Reports\",\"volume\":\"78 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-07-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Asian Journal of Advanced Research and Reports\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.9734/ajarr/2023/v17i10532\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asian Journal of Advanced Research and Reports","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.9734/ajarr/2023/v17i10532","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the Norms of Toeplitz Matrices with the Generalized Oresme Numbers
In this article, we present results on Toeplitz matrices with Oresme numbers components. First, the Toeplitz matrices with Oresme numbers components are created and then the Frobenius(Euclidian), row and column norms of these matrices are found. Furthermore lower and upper bounds are obtained for the spectral norms of these matrices. In addition, the upper bounds for the Frobenius and spectral norms of the Kronecker and Hadamard product matrices of the Toeplitz matrices with the Oresme numbers are calculated.
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