On Generalized p,q-Euler Matrix and Associated Sequence Spaces
In this study, we introduce new BK-spaces bsr,tp,q and b∞r,tp,q derived by the domain of p,q-analogue Br,tp,q of the binomial matrix in the spaces ℓs and ℓ∞, respectively. We study certain topological properties and inclusion relations of these spaces. We obtain a basis for the space bsr,tp,q and ob...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/8899960 |
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| Summary: | In this study, we introduce new BK-spaces bsr,tp,q and b∞r,tp,q derived by the domain of p,q-analogue Br,tp,q of the binomial matrix in the spaces ℓs and ℓ∞, respectively. We study certain topological properties and inclusion relations of these spaces. We obtain a basis for the space bsr,tp,q and obtain Köthe-Toeplitz duals of the spaces bsr,tp,q and b∞r,tp,q. We characterize certain classes of matrix mappings from the spaces bsr,tp,q and b∞r,tp,q to space μ∈ℓ∞,c,c0,ℓ1,bs,cs,cs0. Finally, we investigate certain geometric properties of the space bsr,tp,q. |
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| ISSN: | 2314-8896 2314-8888 |