The Generalized difference of $\int \chi^{2\textit{I}}$ of fuzzy real numbers over $p-$ metric spaces defined by Musielak Orlicz function
In this article we introduce the sequence spaces \\$\left[\chi^{2q}_{f\mu },\left\|\left(d\left(x_{1},0\right),d\left(x_{2},0\right),\cdots, d\left(x_{n-1},0\right)\right)\right\|_{p}\right]^{\textit{I}\left(F\right)}$ and $\left[\Lambda^{2q}_{f\mu },\left\|\left(d\left(x_{1},0\right),d\left(x_{2},0...
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BİSKA Bilisim Company
2016-08-01
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| Series: | New Trends in Mathematical Sciences |
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| Online Access: | https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7192 |
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doaj-8ead6f060b6c44f39470da1c8b986e862020-11-24T21:46:31ZengBİSKA Bilisim CompanyNew Trends in Mathematical Sciences2147-55202147-55202016-08-014329630610.20852/ntmsci.20163203857192The Generalized difference of $\int \chi^{2\textit{I}}$ of fuzzy real numbers over $p-$ metric spaces defined by Musielak Orlicz functionDeepmala -0N. Subramanian1Vishnu Narayan Mishra2Indian Statistical Institute, Kolkata, West Bengal, IndiaSASTRA University, Thanjavur-613 401, IndiaSardar Vallabhbhai National Institute of TechnologyIn this article we introduce the sequence spaces \\$\left[\chi^{2q}_{f\mu },\left\|\left(d\left(x_{1},0\right),d\left(x_{2},0\right),\cdots, d\left(x_{n-1},0\right)\right)\right\|_{p}\right]^{\textit{I}\left(F\right)}$ and $\left[\Lambda^{2q}_{f\mu },\left\|\left(d\left(x_{1},0\right),d\left(x_{2},0\right),\cdots, d\left(x_{n-1},0\right)\right)\right\|_{p}\right]^{\textit{I}\left(F\right)},$ associated with the integrated sequence space defined by Musielak. We study some basic topological and algebraic properties of these spaces. We also investigate some inclusion relations related to these spaces.https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7192analytic sequencedouble sequences$\chi^{2}$ spacedifference sequence spaceMusielak - Orlicz function$p-$ metric spaceIdeal; ideal convergent; fuzzy number; multiplier space. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Deepmala - N. Subramanian Vishnu Narayan Mishra |
| spellingShingle |
Deepmala - N. Subramanian Vishnu Narayan Mishra The Generalized difference of $\int \chi^{2\textit{I}}$ of fuzzy real numbers over $p-$ metric spaces defined by Musielak Orlicz function New Trends in Mathematical Sciences analytic sequence double sequences $\chi^{2}$ space difference sequence space Musielak - Orlicz function $p-$ metric space Ideal; ideal convergent; fuzzy number; multiplier space. |
| author_facet |
Deepmala - N. Subramanian Vishnu Narayan Mishra |
| author_sort |
Deepmala - |
| title |
The Generalized difference of $\int \chi^{2\textit{I}}$ of fuzzy real numbers over $p-$ metric spaces defined by Musielak Orlicz function |
| title_short |
The Generalized difference of $\int \chi^{2\textit{I}}$ of fuzzy real numbers over $p-$ metric spaces defined by Musielak Orlicz function |
| title_full |
The Generalized difference of $\int \chi^{2\textit{I}}$ of fuzzy real numbers over $p-$ metric spaces defined by Musielak Orlicz function |
| title_fullStr |
The Generalized difference of $\int \chi^{2\textit{I}}$ of fuzzy real numbers over $p-$ metric spaces defined by Musielak Orlicz function |
| title_full_unstemmed |
The Generalized difference of $\int \chi^{2\textit{I}}$ of fuzzy real numbers over $p-$ metric spaces defined by Musielak Orlicz function |
| title_sort |
generalized difference of $\int \chi^{2\textit{i}}$ of fuzzy real numbers over $p-$ metric spaces defined by musielak orlicz function |
| publisher |
BİSKA Bilisim Company |
| series |
New Trends in Mathematical Sciences |
| issn |
2147-5520 2147-5520 |
| publishDate |
2016-08-01 |
| description |
In this article we introduce the sequence spaces \\$\left[\chi^{2q}_{f\mu },\left\|\left(d\left(x_{1},0\right),d\left(x_{2},0\right),\cdots, d\left(x_{n-1},0\right)\right)\right\|_{p}\right]^{\textit{I}\left(F\right)}$ and $\left[\Lambda^{2q}_{f\mu },\left\|\left(d\left(x_{1},0\right),d\left(x_{2},0\right),\cdots, d\left(x_{n-1},0\right)\right)\right\|_{p}\right]^{\textit{I}\left(F\right)},$ associated with the integrated sequence space defined by Musielak. We study some basic topological and algebraic properties of these spaces. We also investigate some inclusion relations related to these spaces. |
| topic |
analytic sequence double sequences $\chi^{2}$ space difference sequence space Musielak - Orlicz function $p-$ metric space Ideal; ideal convergent; fuzzy number; multiplier space. |
| url |
https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=7192 |
| work_keys_str_mv |
AT deepmala thegeneralizeddifferenceofintchi2textitioffuzzyrealnumbersoverpmetricspacesdefinedbymusielakorliczfunction AT nsubramanian thegeneralizeddifferenceofintchi2textitioffuzzyrealnumbersoverpmetricspacesdefinedbymusielakorliczfunction AT vishnunarayanmishra thegeneralizeddifferenceofintchi2textitioffuzzyrealnumbersoverpmetricspacesdefinedbymusielakorliczfunction AT deepmala generalizeddifferenceofintchi2textitioffuzzyrealnumbersoverpmetricspacesdefinedbymusielakorliczfunction AT nsubramanian generalizeddifferenceofintchi2textitioffuzzyrealnumbersoverpmetricspacesdefinedbymusielakorliczfunction AT vishnunarayanmishra generalizeddifferenceofintchi2textitioffuzzyrealnumbersoverpmetricspacesdefinedbymusielakorliczfunction |
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