... 2, then 3.1 holds on 0,π/4 and 1.8holds.4. The Special Cases of Theorems 1.5 and 1.61 Taking a 3,b1 a − 1 2 in Theorem 1.5 and c 6,d1 c − 2 4 in Theorem 1.6leads to the ... hen the functions fx −fb/gx − gb and fx − fa/gx − ga are also i ncreasing (or decreasing) on a, b.3. Proofs of Theorems 1.5 and 1.6A We first process the proof of Theorem ... − x2. 1.1 The theorem is generalized by Fink 2 as follows.Theorem 1.2. Let 0 ≤ x ≤ 1. Then3x2 √1 − x2≤ arcsinx ≤πx2 √1 − x2. 1.2Furthermore, 3 and π are the best constants...