ON LACUNARY STATISTICAL BOUNDEDNESS OF ORDER ? OF GENERALIZED DIFFERENCE SEQUENCES

Abstract

In this work, a new generalization of statistical boundedness is provided for difference sequences in regard to lacunary alpha-density and lacunary statistical sense. Apart from examining some inclusion theorems on related sequence spaces, we show that triangle(m)(theta)(S-b(alpha)) does not form a sequence algebra unlike S-theta(alpha)(b)