Refinement of the Theorem of Vahlen

[1] HANČL, J.: Sharpening of theorems of Vahlen and Hurwitz and approximation properties of the golden ratio,Arch. Math.(Basel), 105 (2015), no. 2, 129–137. Search in Google Scholar

[2] HANČL, J.—BAHNEROVÁ, S.: Sharpening of the theorem of Vahlen and related theorems, J. Ramanujan Math. Soc. 36 (2021), no. 2, 109–121. Search in Google Scholar

[3] KHINCHIN, A. I.—KHINTCHINE, A. YA.: Continued Fractions Vol. 525.Translated by Peter P. Wynn, Noordhoff Ltd., Groningen 1963. Search in Google Scholar

[4] SCHMIDT, W. M.: Diophantine Approximation.In: Lectur Notes in Math. Vol. 785. Springer Science and Business Media, 1996. Search in Google Scholar

[5] VAHLEN, K. TH.: Ueber Näherungswerte und Kettenbrüche,J. Reine Angew. Math. 115 (1895), 221–233. https://doi.org/10.1515/crll.1895.115.221 Search in Google Scholar