Bounds for the Operator Norm on Weighted Cesaro Fractional Difference Sequence Spaces
In this paper, we determine the upper and lower bounds for the norm of lower triangular matrix operators on Ces\`{a}ro weighted $(p,v)-$fractional difference sequence spaces of modulus functions. We consider the matrix operators acting between $\ell_{p}(w)$ and $C_{p}(v,\omega,\\\Delta^{(\eta,\ell)}...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2023-01-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_697061_7a3594db12d42f8b52178493e0a2c781.pdf |
| _version_ | 1811175386735706112 |
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| author | Kuldib Raj Anu Choudhary Mohammad Mursaleen |
| author_facet | Kuldib Raj Anu Choudhary Mohammad Mursaleen |
| author_sort | Kuldib Raj |
| collection | DOAJ |
| description | In this paper, we determine the upper and lower bounds for the norm of lower triangular matrix operators on Ces\`{a}ro weighted $(p,v)-$fractional difference sequence spaces of modulus functions. We consider the matrix operators acting between $\ell_{p}(w)$ and $C_{p}(v,\omega,\\\Delta^{(\eta,\ell)},\mathcal{F})$ and identify their bounds and vice-versa. We also investigate the same characteristics for N\"{o}rlund and weighted mean matrix operators. |
| first_indexed | 2024-04-10T19:35:16Z |
| format | Article |
| id | doaj.art-2f29d1e332124424bece44cfaa65c1d2 |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-04-10T19:35:16Z |
| publishDate | 2023-01-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-2f29d1e332124424bece44cfaa65c1d22023-01-30T06:10:45ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002023-01-01201193410.22130/scma.2022.550005.1070697061Bounds for the Operator Norm on Weighted Cesaro Fractional Difference Sequence SpacesKuldib Raj0Anu Choudhary1Mohammad Mursaleen2School of Mathematics Shri Mata Vaishno Devi University, Katra-182320, J & K, IndiaSchool of Mathematics Shri Mata Vaishno Devi University, Katra-182320, J & K, IndiaDepartment of Medical Research, China Medical University Hospital, China Medical University (Taiwan), Taichung, Taiwan.In this paper, we determine the upper and lower bounds for the norm of lower triangular matrix operators on Ces\`{a}ro weighted $(p,v)-$fractional difference sequence spaces of modulus functions. We consider the matrix operators acting between $\ell_{p}(w)$ and $C_{p}(v,\omega,\\\Delta^{(\eta,\ell)},\mathcal{F})$ and identify their bounds and vice-versa. We also investigate the same characteristics for N\"{o}rlund and weighted mean matrix operators.https://scma.maragheh.ac.ir/article_697061_7a3594db12d42f8b52178493e0a2c781.pdfcesaro sequence space$\left(\eta\ell\right)-$fractional difference operatormodulus functionlower triangular matrix |
| spellingShingle | Kuldib Raj Anu Choudhary Mohammad Mursaleen Bounds for the Operator Norm on Weighted Cesaro Fractional Difference Sequence Spaces Sahand Communications in Mathematical Analysis cesaro sequence space $\left(\eta \ell\right)-$fractional difference operator modulus function lower triangular matrix |
| title | Bounds for the Operator Norm on Weighted Cesaro Fractional Difference Sequence Spaces |
| title_full | Bounds for the Operator Norm on Weighted Cesaro Fractional Difference Sequence Spaces |
| title_fullStr | Bounds for the Operator Norm on Weighted Cesaro Fractional Difference Sequence Spaces |
| title_full_unstemmed | Bounds for the Operator Norm on Weighted Cesaro Fractional Difference Sequence Spaces |
| title_short | Bounds for the Operator Norm on Weighted Cesaro Fractional Difference Sequence Spaces |
| title_sort | bounds for the operator norm on weighted cesaro fractional difference sequence spaces |
| topic | cesaro sequence space $\left(\eta \ell\right)-$fractional difference operator modulus function lower triangular matrix |
| url | https://scma.maragheh.ac.ir/article_697061_7a3594db12d42f8b52178493e0a2c781.pdf |
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