On Inhomogeneous Continued Fraction Expansions and Inhomogeneous Diophantine Approximation Original Research Article

We consider a new algorithm yielding the values image(θ, φ)=lim infq→∞ qdouble vertical barqθ−φdouble vertical bar. Specifically, we compute image(θ, 1/a), image(θ, 1/2a),image, and image(θ, 1/2) whenimage.