Lacunary I-invariant convergence
| Autor: | Uğur Ulusu, Fatih Nuray |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Matematik
Mathematics::Functional Analysis Pure mathematics i-cauchy sequence invariant convergence Mathematics::Classical Analysis and ODEs lacunary sequence General Medicine Statistical convergence i-convergence Lacunary sequence I-convergence Invariant convergence Statistical convergence I-Cauchy sequence lcsh:TA1-2040 Computer Science::Symbolic Computation statistical convergence lcsh:Q Invariant (mathematics) lcsh:Engineering (General). Civil engineering (General) lcsh:Science lcsh:Science (General) Lacunary function Mathematics lcsh:Q1-390 |
| Zdroj: | Cumhuriyet Science Journal, Vol 41, Iss 3, Pp 617-624 (2020) Volume: 41, Issue: 3 617-624 Cumhuriyet Science Journal |
| ISSN: | 2587-2680 2587-246X |
| DOI: | 10.17776/csj.689877 |
| Popis: | In this study, firstly, we introduce the notion of lacunary invariant uniform density of any subset E of the set N (the set of all natural numbers). Then, as associated with this notion, we give the definition of lacunary I_σ-convergence for real sequences. Furthermore, we examine relations between this new type convergence notion and the notions of lacunary invariant summability, lacunary strongly q-invariant summability and lacunary σ-statistical convergence which are studied in this area before. Finally, introducing the notions of lacunary I_σ^*-convergence and I_σ-Cauchy sequence, we give the relations between these notions and the notion of lacunary I_σ-convergence. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|