On some lacunary difference sequence spaces defined by a sequence of Orlicz functions and q-lacunary Δnm-statistical convergence
In this article, we introduce the lacunary difference sequence spaces w0(M, θ, Δnm, p, q), w1(M, θ, Δnm, p, q) and w∞(M, θ, Δnm, p, q) using a sequence M = (Mk) of Orlicz functions and investigate some relevant properties of these spaces. Then, we define and study the notion of q-lacunary Δnm-statis...
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| Format: | Article |
| Language: | English |
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Sciendo
2012-05-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/v10309-012-0028-1 |
| _version_ | 1819205117956587520 |
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| author | Tripathy Binod Chandra Dutta Hemen |
| author_facet | Tripathy Binod Chandra Dutta Hemen |
| author_sort | Tripathy Binod Chandra |
| collection | DOAJ |
| description | In this article, we introduce the lacunary difference sequence spaces w0(M, θ, Δnm, p, q), w1(M, θ, Δnm, p, q) and w∞(M, θ, Δnm, p, q) using a sequence M = (Mk) of Orlicz functions and investigate some relevant properties of these spaces. Then, we define and study the notion of q-lacunary Δnm-statistical convergent sequences. Further, we study the relationship between q-lacunary n m-statistical convergent sequences and Δnm the spaces w0(M, θ, Δnm, p, q) and w1(M, θ, Δnm, p, q). |
| first_indexed | 2024-12-23T04:46:37Z |
| format | Article |
| id | doaj.art-1e555e0e89404546bfa8f28c992607d0 |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-12-23T04:46:37Z |
| publishDate | 2012-05-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-1e555e0e89404546bfa8f28c992607d02022-12-21T17:59:36ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352012-05-0120141743010.2478/v10309-012-0028-1On some lacunary difference sequence spaces defined by a sequence of Orlicz functions and q-lacunary Δnm-statistical convergenceTripathy Binod Chandra0Dutta Hemen1Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Paschim Boragaon, Garchuk, Guwahati-781013, Assam, IndiaDepartment of Mathematics, Gauhati University Campus, Kokrajhar-783370, Assam, IndiaIn this article, we introduce the lacunary difference sequence spaces w0(M, θ, Δnm, p, q), w1(M, θ, Δnm, p, q) and w∞(M, θ, Δnm, p, q) using a sequence M = (Mk) of Orlicz functions and investigate some relevant properties of these spaces. Then, we define and study the notion of q-lacunary Δnm-statistical convergent sequences. Further, we study the relationship between q-lacunary n m-statistical convergent sequences and Δnm the spaces w0(M, θ, Δnm, p, q) and w1(M, θ, Δnm, p, q).https://doi.org/10.2478/v10309-012-0028-1orlicz functionlacunary sequenceseminormstatistical convergence |
| spellingShingle | Tripathy Binod Chandra Dutta Hemen On some lacunary difference sequence spaces defined by a sequence of Orlicz functions and q-lacunary Δnm-statistical convergence Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica orlicz function lacunary sequence seminorm statistical convergence |
| title | On some lacunary difference sequence spaces defined by a sequence of Orlicz functions and q-lacunary Δnm-statistical convergence |
| title_full | On some lacunary difference sequence spaces defined by a sequence of Orlicz functions and q-lacunary Δnm-statistical convergence |
| title_fullStr | On some lacunary difference sequence spaces defined by a sequence of Orlicz functions and q-lacunary Δnm-statistical convergence |
| title_full_unstemmed | On some lacunary difference sequence spaces defined by a sequence of Orlicz functions and q-lacunary Δnm-statistical convergence |
| title_short | On some lacunary difference sequence spaces defined by a sequence of Orlicz functions and q-lacunary Δnm-statistical convergence |
| title_sort | on some lacunary difference sequence spaces defined by a sequence of orlicz functions and q lacunary δnm statistical convergence |
| topic | orlicz function lacunary sequence seminorm statistical convergence |
| url | https://doi.org/10.2478/v10309-012-0028-1 |
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