Y. Altın, Properties of some sets of sequences defined by a modulus function, Acta Math. Sci. Ser. B Engl. Ed. 29(2) (2009), 427–434. G. Das and S. K. Mishra, Banach limits and lacunary strong almost ...

Let m, n ≥ 0, λ > 1, and R be a rational function with numerator, denominator of degree ≤ m, n, respectively. In several applications, one needs to know the size of the set $\mathcal{S} \subset$ [0, 1 ...