Subsequential Convergence Conditions
| Autor: | İbrahim Çanak, Ümit Totur, Mehmet Dik |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2007 |
| Předmět: | |
| Zdroj: | Journal of Inequalities and Applications, Vol 2007 (2007) |
| Druh dokumentu: | article |
| ISSN: | 1025-5834 1029-242X |
| DOI: | 10.1155/2007/87414 |
| Popis: | Let (un) be a sequence of real numbers and let L be any (C,1) regular limitable method. We prove that, under some assumptions, if a sequence (un) or its generator sequence (Vn(0)(Δu)) generated regularly by a sequence in a class ðÂÂ’Âœ of sequences is a subsequential convergence condition for L, then for any integer m≥1, the mth repeated arithmetic means of (Vn(0)(Δu)), (Vn(m)(Δu)), generated regularly by a sequence in the class ðÂÂ’Âœ(m), is also a subsequential convergence condition for L. |
| Databáze: | Directory of Open Access Journals |
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