Tuğ, Orhan
(2022)
*The Generalized Difference Operator of Order Three and Its Domain in the Sequence Spaces e1 and bv.*
Journal of Mathematics.

Text (Research Article)
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## Abstract

Most recently, the generalized difference operator Δ3 i of order three was defined and its domain in Hahn sequence space h was calculated. In this paper, the spaces ℓ1(Δ3 i ) and bv(Δ3 i ) are introduced as the domain of generalized difference operator Δ3 i of order three in the sequence spaces ℓ1 and bv. +en, some topological properties of ℓ1(Δ3 i ) and bv(Δ3 i ) are given, and some inclusion relations are shown. Additionally, algebraic dual, α−, β−, and c− dual spaces of ℓ1(Δ3 i ) and bv(Δ3 i ) are computed. In the last section, the classes (μ(Δ3 i ): λ) and (λ: μ(Δ3 i )) of matrix transformations are characterized, where μ � ℓ1 � � , bv and λ � c, c0, ℓ1 � , ℓ∞, bs, cs, bv, h�.

Item Type: | Article |
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Subjects: | Q Science > QA Mathematics |

Depositing User: | ePrints deposit |

Date Deposited: | 23 Feb 2022 11:30 |

Last Modified: | 23 Feb 2022 11:30 |

URI: | http://eprints.tiu.edu.iq/id/eprint/834 |

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