On the convergence rates of pairs of adjacent sequences
In this paper we give a suitable definition for the pairs of adjacent (convergent) sequences of real numbers, we present some two-sided estimations which caracterize the order of convergence to its limits of some of these sequences and we give certain general explanations for its similar orders of...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2020-09-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/1221 |
| _version_ | 1797769215795527680 |
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| author | Dorel I. Duca Andrei Vernescu |
| author_facet | Dorel I. Duca Andrei Vernescu |
| author_sort | Dorel I. Duca |
| collection | DOAJ |
| description |
In this paper we give a suitable definition for the pairs of adjacent (convergent) sequences of real numbers, we present some two-sided estimations which caracterize the order of convergence to its limits of some of these sequences and we give certain general explanations for its similar orders of convergence.
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| first_indexed | 2024-03-12T21:05:40Z |
| format | Article |
| id | doaj.art-1116bd2fd680461199b20dc9248d5881 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-03-12T21:05:40Z |
| publishDate | 2020-09-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-1116bd2fd680461199b20dc9248d58812023-07-30T12:30:18ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2020-09-01491On the convergence rates of pairs of adjacent sequencesDorel I. Duca0Andrei Vernescu1Babeș-Bolyai University, RomaniaValahia University, Targoviste, Romania In this paper we give a suitable definition for the pairs of adjacent (convergent) sequences of real numbers, we present some two-sided estimations which caracterize the order of convergence to its limits of some of these sequences and we give certain general explanations for its similar orders of convergence. https://ictp.acad.ro/jnaat/journal/article/view/1221real sequencelimitorder of convergenceasymptotic scaleiterated limitsconvergence rate |
| spellingShingle | Dorel I. Duca Andrei Vernescu On the convergence rates of pairs of adjacent sequences Journal of Numerical Analysis and Approximation Theory real sequence limit order of convergence asymptotic scale iterated limits convergence rate |
| title | On the convergence rates of pairs of adjacent sequences |
| title_full | On the convergence rates of pairs of adjacent sequences |
| title_fullStr | On the convergence rates of pairs of adjacent sequences |
| title_full_unstemmed | On the convergence rates of pairs of adjacent sequences |
| title_short | On the convergence rates of pairs of adjacent sequences |
| title_sort | on the convergence rates of pairs of adjacent sequences |
| topic | real sequence limit order of convergence asymptotic scale iterated limits convergence rate |
| url | https://ictp.acad.ro/jnaat/journal/article/view/1221 |
| work_keys_str_mv | AT doreliduca ontheconvergenceratesofpairsofadjacentsequences AT andreivernescu ontheconvergenceratesofpairsofadjacentsequences |