By majorization approaches, some known results on monotonicity

of the arithmetic means of convex and concave functions are proved and

generalized once again

Qi, Feng

Shi, Huan-Nan

Xu, Tie-Quan

Victoria University Eprints Repository

English

A note on a paper by

Foundations of Majorization Inequalities,

Generalizations of Alzer’s and Kuang’s inequality,

Inequalities and monotonicity for the ratio of gamma functions,

Inequalities and monotonicity of sequences involving n p (n + k)!/k!,

Inequalities in Matrix Theory, Anhui Educational Press, Hefei City,

Monotonicity of sequences involving conex function and sequence,

Monotonicity of sequences involving convex and concave functions,

Monotonicity of sequences involving geometric means of positive sequences with logarithmical convexity,

Monotonicity of sequences involving geometric means of positive sequences with monotonicity and logarithmical convexity,

Monotonicity of sequences involving geometric means of positive sequences,

On a generalization of Martins’ inequality,

On an inequality of

Sequence inequalities for the logarithmic convex (concave) function,

Some extensions and reﬁnements of Minc-Sathre inequality,

Some inequalities involving (r!)1/r,

Some inequalities involving the geometric mean of natural numbers and the ratio of gamma functions,

Monotonicity Results for Arithmetic Means of Concave and Convex Functions