On the New Double Binomial Sequence Space

Abstract

The aim of this paper is to present the new double Binomial sequence space $mathcal{B}_{p}^{r,s}$ which consists of all sequences whose double Binomial transforms of orders $r,s$ ($r$ and $s$ are nonzero real numbers with $r+s neq 0$) are in the space $mathcal{L}_p$, where $0