On some I -convergent generalized difference sequence spaces associated with multiplier sequence defined by a sequence of modulli
In this article we introduce the sequence spaces cI (F, Λ, Δm,p), coI (F, Λ, Δm,p) and ℓ ∞I (F, Λ, Δm,p), associated with the multiplier sequence Λ = (λk), defined by a sequence of modulli F = (f k). We study some basic topological and algebraic properties of these spaces. Also some inclusion relati...
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| Vydáno v: | Proyecciones (Antofagasta) Ročník 34; číslo 2; s. 137 - 146 |
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| Médium: | Journal Article |
| Jazyk: | angličtina portugalština španělština |
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Universidad Católica del Norte, Departamento de Matemáticas
17.04.2025
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| ISSN: | 0716-0917 |
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| Abstract | In this article we introduce the sequence spaces cI (F, Λ, Δm,p), coI (F, Λ, Δm,p) and ℓ ∞I (F, Λ, Δm,p), associated with the multiplier sequence Λ = (λk), defined by a sequence of modulli F = (f k). We study some basic topological and algebraic properties of these spaces. Also some inclusion relations are studied. |
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| AbstractList | In this article we introduce the sequence spaces cI (F, Λ, Δm,p), coI (F, Λ, Δm,p) and ℓ ∞I (F, Λ, Δm,p), associated with the multiplier sequence Λ = (λk), defined by a sequence of modulli F = (f k). We study some basic topological and algebraic properties of these spaces. Also some inclusion relations are studied. |
| Author | Debnath, Shyamal Saha, Subrata |
| AuthorAffiliation | Tripura University (A Central University) |
| AuthorAffiliation_xml | – name: Tripura University (A Central University) |
| Author_xml | – sequence: 1 givenname: Shyamal surname: Debnath fullname: Debnath, Shyamal organization: Tripura University (A Central University) – sequence: 2 givenname: Subrata surname: Saha fullname: Saha, Subrata organization: Tripura University (A Central University) |
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| DOI | 10.4067/S0716-09172015000200003 |
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| Issue | 2 |
| Keywords | difference sequence modulus function I - convergence Ideal |
| Language | English Portuguese Spanish |
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| References | Tripathy, B. C.; Mahanta, S. 2010; 347 Savas, E.; Das, P. 2011; 24 Salat, T. 1980; 30 Lindenstrauss, J.; Tzafriri, L. 1971; 101 Esi, A.; Et., M. 2000; 31 Tripathy, B. C.; Baruah, A.; Et, M.; Gungor, M. 2012; 36 Tripath, B. C.; Dutta, H. 2010; 50 Tripathy, B. C.; Hazarika, B. 2009; 59 Tripathy, B. C.; Hazarika, B. 2011; 27 Schoenburg, I. J. 1951; 66 Buck, R. C 1946; 68 Tripathy, B. C.; Dutta, A. J. 2012; 17 Tripathy, B. C.; Sarma, B. 2012; 52 Tripathy, B. C.; Hazarika, B. 2008; 11 Tripathy, B. C.; Chandra, P. 2011; 27 Sarma, B. 2012; 6 Tripathy, B. C.; Hazarika, B. 2011; 51 Kostyrko, P.; Salat, T.; Wilczynski, W. 2001; 26 Tripathy, B. C.; Choudhury, B.; Sarma, B. 2008; 48 Debnath, S.; Debnath, J. 2014; 3 Khan, V. A.; Ebadullah, K. 2012; 2 Kizmaz, H. 1981; 24 Tripathy, B. C.; Se, M.; Nath, S. 2012; 16 Nakano, H. 1953; 5 Goes, G.; Goes, S. 1970; 118 Tripathy, B. C.; Debnath, S. 2013; 35 Debnath, S.; Debnath, J. 2014; 33 Tripathy, B. C.; Mahanta, S. 2004; 20 |
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