Abstract
In this article, we introduce strong w [ ; f; p] summability of order (α;β) for sequences of complex (or real) numbers and give some inclusionrelations between the sets of lacunary statistical convergence of order (α;β) strong w [ ; f; p]summability and strong w (p)summability
Highlights
In 1951, Steinhaus [15] and Fast [9] introduced the concept of statistical convergence and later in 1959, Schoenberg [13] reintroduced independently
We introduce strong w [ ; f; p] summability of order ( ; ) for sequences of complex numbers and give some inclusion relations between the sets of lacunary statistical convergence of order ( ; ), strong w [ ; f; p] summability and strong w (p) summability
Çolak [7] studied statistical convergence order by giving the de...nition as follows: We say that the sequence x = is statistically convergent of order toif there is a complex numbersuch that lim jfk n!1 n n : jxkj
Summary
In 1951, Steinhaus [15] and Fast [9] introduced the concept of statistical convergence and later in 1959, Schoenberg [13] reintroduced independently. Throughout this paper w indicate the space of sequences of real number.
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