Matrix transformations of sequences and applications in Fourier analysis.

Heliyon

Department of Economics and Finance, United Arab Emirates University, P.O. Box No. 15551, Al Ain, Abu Dhabi, United Arab Emirates.

Published: April 2024

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.

Download full-text PDF

Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11043939PMC
http://dx.doi.org/10.1016/j.heliyon.2024.e29585DOI Listing

Publication Analysis

Top Keywords

matrix
4
matrix transformations
4
transformations sequences
4
sequences applications
4
applications fourier
4
fourier analysis
4
analysis presented
4
presented paper
4
paper consider
4
consider sequence
4

Similar Publications

Want AI Summaries of new PubMed Abstracts delivered to your In-box?

Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!