Fractional Cesaro Matrix and its Associated Sequence Space
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Dosyalar
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
De Gruyter Poland Sp Z O O
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this research, we introduce a new fractional Cesaro matrix and investigate the topological properties of the sequence space associated with this matrix. We also introduce a fractional Gamma matrix as well and obtain some factorizations for the Hilbert operator based on Cesaro and Gamma matrices. The results of these factorizations are two new inequalities one of which is a generalized version of the well-known Hilbert's inequality. There are also some challenging problems that authors share at the end of the manuscript and invite the researcher for trying to solve them.
Açıklama
Anahtar Kelimeler
Cesaro matrix, Hilbert matrix, Gamma matrix, Norm, Sequence space
Kaynak
Concrete Operators
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
8
Sayı
1
