Binomial Operator as a Hausdorff Operator of the Euler Type

Year 2020, Volume: 3 Issue: 4, 165 - 177, 01.12.2020

Hadi Roopaei

https://doi.org/10.33205/cma.783993

Cited By: 1

Abstract

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.

Keywords

Binomial operator, Euler operator, Norm, Lower bound

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