Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778924 | Indagationes Mathematicae | 2017 | 8 Pages |
Abstract
In this paper, the Taylor sequence space tpθ of non-absolute type is introduced which consists of all sequences whose Taylor transforms of order θ,(0<θ<1), are in the space âp. It is shown that the space tpθ is a normed space which includes the space âp where 1â¤pâ¤â. Moreover, in this paper a general upper estimate is obtained for the norm of Hausdorff matrices and Nörlund matrices as operators from âp into the Taylor sequence space tpθ. Finally, the results are extended to the matrix domain of an arbitrary invertible matrix E in the sequence space âp.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Gholamreza Talebi,