A STUDY ON ABSOLUTE EULER TOTIENT SERIES SPACE AND CERTAIN MATRIX TRANSFORMATIONS
Clicks: 186
ID: 111104
2020
Article Quality & Performance Metrics
Overall Quality
Not rated
Combines reader engagement with the AI quality analysis. This
article has not been analysed, so there is no overall score —
reader engagement is measured and shown alongside.
Reader Engagement
Steady Performance
30.0
/100
186 views
12 readers
AI Quality Assessment
Not analyzed
Readership in this journal
SteadyRanked #55 of 68 articles by views in mugla journal of science and technology
Most read
Least read
Bar heights use a square-root scale.
Mint this article as an NFT
Not yet mintedCreate a permanent, verifiable on-chain record of this article on the Scimatic Network. The NFT is held in your Journament account, and you can withdraw it to your own wallet at any time.
5
SUSD
one-off · no wallet required
Abstract
Recently, many authors have focused on the studies related to sequence and series spaces. In the literature the simple and fundamental method is to construct new sequence and series spaces by means of the matrix domain of triangular matrices on the classical sequence spaces. Based on this approach, in this study, we introduce a new series space |ϕ_z |_p as the set of all series summable by absolute summability method |Φ,z_n |_p, where Φ=(ϕ_nk ) denotes Euler totient matrix, z=(z_n ) is a sequence of non-negative terms and p≥1. Also, we show that the series space |ϕ_z |_p is linearly isomorphic to the space of all p- absolutely summable sequences l_p for p≥1. Moreover, we determine some topological properties and α, β and γ-duals of this space and give Schauder basis for the space |ϕ_z |_p. Finally, we characterize the classes of the matrix operators from the space |ϕ_z |_p to the classical spaces l_∞,c,c_0,l_1 for 1≤p
| Reference Key |
İlkhan2020muglaa
Use this key to autocite in the manuscript while using
SciMatic Manuscript Manager or Thesis Manager
|
|---|---|
| Authors | Merve İLKHAN;G. Canan HAZAR GÜLEÇ; |
| Journal | mugla journal of science and technology |
| Year | 2020 |
| DOI |
10.22531/muglajsci.727517
|
| URL | |
| Keywords |
|
Citations
No citations found. To add a citation, contact the admin at info@scimatic.org
Comments
No comments yet. Be the first to comment on this article.