Matrix transformations of sequences and applications in Fourier analysis
Ushangi Goginava,
Sawsan Omira,
Reem Abdel-Latif,
Tasnem AlKrinat
Affiliations
Ushangi Goginava
Department of Mathematical Sciences, United Arab Emirates University, P.O. Box No. 15551, Al Ain, Abu Dhabi, United Arab Emirates; Corresponding author.
Sawsan Omira
Department of mechanical and aerospace engineering, United Arab Emirates University, P.O. Box No. 15551, Al Ain, Abu Dhabi, United Arab Emirates
Reem Abdel-Latif
Department of mechanical and aerospace engineering, United Arab Emirates University, P.O. Box No. 15551, Al Ain, Abu Dhabi, United Arab Emirates
Tasnem AlKrinat
Department of Economics and Finance, United Arab Emirates University, P.O. Box No. 15551, Al Ain, Abu Dhabi, United Arab Emirates
In the presented paper we consider a sequence and its Nörlud and a generalized mean derived from a matrix transformation. Furthermore, sufficient conditions for the matrix are found which implies the converges of the generalized matrix means from the Nörlud ones. The results drawn make it possible to transfer well-known theorems in the theory of Fourier series to more general sequences of operators.
