Summability factor relations between absolute weighted and Cesàro means
| Autor: | Hazar Güleç, Güllü Canan |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
General Mathematics 010102 general mathematics General Engineering 010103 numerical & computational mathematics 01 natural sciences Mathematical techniques Factor (chord) Engineering Summability factors Absolute (philosophy) absolute weighted mean summability matrix methods sequence spaces Sequence space 0101 mathematics absolute Cesàro summability Summability Mathematics Matrix method |
| Zdroj: | Mathematical Methods in the Applied Sciences. 42:5398-5402 |
| ISSN: | 1099-1476 0170-4214 |
| DOI: | 10.1002/mma.5399 |
| Popis: | By (U, V), we denote the set of all sequences 𝜖? = ?(𝜖n) such that ??nan is summable V whenever ?an is summable U, where U and V are two summability methods. Recently, Sarıgöl has characterized the set (Formula presented.) for k > 1,? > -1 and arbitrary positive sequences (Formula presented.) Now, in the present paper, we characterize the sets (Formula presented.), k > 1 and (Formula presented.), k ? 1 for arbitrary positive sequences (Formula presented.) Hence we extend these results to the range ?? - 1. In this way, some open problems in this topic are also completed. © 2018 John Wiley & Sons, Ltd. |
| Databáze: | OpenAIRE |
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