On E-Statistical Summability of Bounded Sequence

Sabiha Tabassum, Ruqaiyya Fatma

Abstract

A summability method is said to be regular if it preserves the limit, i.e., it sums all convergent series to its Cauchy’s sum. In this paper we have introduced the sequence space X(E) defined by Euler matrix for the spaces X = l_∞, c, c_0 and l_p, (1 ≤ p < ∞). Some fundamental properties and relation related to these spaces are examined. A new regular statistical summability method (Euler statistical summability) is given. The graph for Euler and Euler statistical summability are given by using MATLAB(2018a).