Farey-Pell Sequence, Approximation To Irrationals And Hurwitz's Inequality

Abstract

The purpose of this paper is to give the notion of Farey-Pell sequence. We investigate some identities of the Farey-Pell sequence. Finally, a generalization of Farey-Pell sequence and an approximation to irrationals via Farey-Pell fractions are given