Binomial Operator as a Hausdorff Operator of the Euler Type
| Autor: | Hadi Roopaei |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Numerical Analysis
Pure mathematics Matematik Mathematics::Commutative Algebra Applied Mathematics Hausdorff space Euler sequence Upper and lower bounds symbols.namesake Operator (computer programming) Euler operator Euler's formula symbols Binomial operator Euler operator Norm Lower bound Analysis Mathematics |
| Zdroj: | Volume: 3, Issue: 4 165-177 Constructive Mathematical Analysis |
| ISSN: | 2651-2939 |
| Popis: | In this paper, we prove that the binomial operator is a Hausdorff operator of the Euler type and consequently, the binomial matrix domain associated with this operator is nothing new except an Euler sequence space. Therefore, all the results of published papers on the binomial sequence spaces like [4] can be extracted easily from [1] and the relation between the binomial and Euler operators that we introduce. Moreover, we compute the norm and the lower bound of the binomial operator on some sequence spaces. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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