On the New Generalized Hahn Sequence Space hdp
In this article, we define the new generalized Hahn sequence space hdp, where d=dkk=1∞ is monotonically increasing sequence with dk≠0 for all k∈ℕ, and 1<p<∞. Then, we prove some topological properties and calculate the α−, β−, and γ−duals of hdp. Furthermore, we characterize the new matrix cla...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2022/6832559 |
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| Summary: | In this article, we define the new generalized Hahn sequence space hdp, where d=dkk=1∞ is monotonically increasing sequence with dk≠0 for all k∈ℕ, and 1<p<∞. Then, we prove some topological properties and calculate the α−, β−, and γ−duals of hdp. Furthermore, we characterize the new matrix classes hd,λ, where λ=bv,bvp,bv∞,bs,cs,, and μ,hd, where μ=bv,bv0,bs,cs0,cs. In the last section, we prove the necessary and sufficient conditions of the matrix transformations from hdp into λ=ℓ∞,c,c0,ℓ1,hd,bv,bs,cs, and from μ=ℓ1,bv0,bs,cs0 into hdp. |
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| ISSN: | 1687-0409 |