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After a short expose of the history of the Beckenbach-Dresher inequality, general result and the Aczel type inequality are given and super(sub)additivity of the function G_{; ; ; p, q, u}; ; ; (f, g ; A, B)=\frac{; ; ; A^{; ; ; u/p}; ; ; (f^p)}; ; ; {; ; ; B^{; ; ; (u-1)/q}; ; ; (g^q)}; ; ; is proved. Also, a difference which is inspired by one integral analogue of the Beckenbach-Dresher inequality is considered.

A generalized Beckenbach--Dresher inequality and related results