... result.Hindawi Publishing CorporationJournal of Inequalities and ApplicationsVolume 2007, Article ID 82038, 7 pagesdoi:10.1155/2007/82038 Research Article Extension of Oppenheim’s Problem to Bessel Functions´Arp´ad ... of the function x→ (1 + a1x)2/(a1+ x)on[1,∞)is4a1(1 −a21), we have Q(α) ≥ 4a1(1 − a21), and with this, the proof is complete.Proof of Theorem 1.4. In analogy to the proof ... functions(seealso[6] for further results). In this note, our aim is to extend the above-mentioned´A. Baricz and L. Zhu 5Now, in what fol lows, we try to find the minimum values of Q using the monotoneform of...