A Note on Lacunary Sequence Spaces of Fractional Difference Operator of Order α,β
In the present paper, we defined lacunary sequence spaces of fractional difference operator of order α,β over n-normed spaces via Musielak-Orlicz function M=Ik. Our aim in this paper is to study some topological properties and inclusion relation between the spaces I−NαβA,M,u,θ,Δγ,·,⋯,·0, I−NαβA,M,u,...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/2779479 |
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| _version_ | 1832564755868418048 |
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| author | Qing-Bo Cai Sunil K. Sharma Mohammad Ayman Mursaleen |
| author_facet | Qing-Bo Cai Sunil K. Sharma Mohammad Ayman Mursaleen |
| author_sort | Qing-Bo Cai |
| collection | DOAJ |
| description | In the present paper, we defined lacunary sequence spaces of fractional difference operator of order α,β over n-normed spaces via Musielak-Orlicz function M=Ik. Our aim in this paper is to study some topological properties and inclusion relation between the spaces I−NαβA,M,u,θ,Δγ,·,⋯,·0, I−NαβA,M,u,θ,Δγ,·,⋯,·, and I−NαβA,M,u,θ,Δγ,·,⋯,·∞. |
| format | Article |
| id | doaj-art-70fd3d80e1804fcd8596bf83c1abdb6e |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-70fd3d80e1804fcd8596bf83c1abdb6e2025-02-03T01:10:19ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/2779479A Note on Lacunary Sequence Spaces of Fractional Difference Operator of Order α,βQing-Bo Cai0Sunil K. Sharma1Mohammad Ayman Mursaleen2Fujian Provincial Key Laboratory of Data-Intensive ComputingDepartment of MathematicsSchool of Information and Physical SciencesIn the present paper, we defined lacunary sequence spaces of fractional difference operator of order α,β over n-normed spaces via Musielak-Orlicz function M=Ik. Our aim in this paper is to study some topological properties and inclusion relation between the spaces I−NαβA,M,u,θ,Δγ,·,⋯,·0, I−NαβA,M,u,θ,Δγ,·,⋯,·, and I−NαβA,M,u,θ,Δγ,·,⋯,·∞.http://dx.doi.org/10.1155/2022/2779479 |
| spellingShingle | Qing-Bo Cai Sunil K. Sharma Mohammad Ayman Mursaleen A Note on Lacunary Sequence Spaces of Fractional Difference Operator of Order α,β Journal of Function Spaces |
| title | A Note on Lacunary Sequence Spaces of Fractional Difference Operator of Order α,β |
| title_full | A Note on Lacunary Sequence Spaces of Fractional Difference Operator of Order α,β |
| title_fullStr | A Note on Lacunary Sequence Spaces of Fractional Difference Operator of Order α,β |
| title_full_unstemmed | A Note on Lacunary Sequence Spaces of Fractional Difference Operator of Order α,β |
| title_short | A Note on Lacunary Sequence Spaces of Fractional Difference Operator of Order α,β |
| title_sort | note on lacunary sequence spaces of fractional difference operator of order α β |
| url | http://dx.doi.org/10.1155/2022/2779479 |
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