论文信息 - Monotonicity Results for Arithmetic Means of Concave and Convex Functions

Monotonicity Results for Arithmetic Means of Concave and Convex Functions

By majorization approaches, some known results on monotonicity of the arithmetic means of convex and concave functions are proved and generalized once again.

Feng Qi | Huan-Nan Shi | Tie-Quan Xu

[1] Kuang Jichang. 83.17 Some Extensions and Refinements of Minc-Sathre Inequality , 1999 .

[2] Feng Qi (祁锋),et al. On a Generalization of Martins’ Inequality , 2003 .

[3] Feng Qi (祁锋),et al. Some Inequalities Involving the Geometric Mean of Natural Numbers and the Ratio of Gamma Functions , 2000 .

[4] Sequence Inequalities for the Logarithmic Convex (Concave) Function , 2004 .

[5] Feng Qi. Generalizations of Alzer's and Kuang's Inequality , 2000 .

[6] Monotonicity of Sequences Involving Geometric Means of Positive Sequences with Logarithmical Convexity , 2002 .

[7] Horst Alzer,et al. On an Inequality of H. Minc and L. Sathre , 1993 .

[8] Giuliana Criscuolo. A note on a paper by G. Mastroianni and G. Monegato , 2004, Math. Comput..

[9] Feng Qi,et al. Monotonicity of sequences involving geometric means of positive sequences with monotonicity and logarithmical convexity , 2006 .

[10] Feng Qi,et al. INEQUALITIES AND MONOTONICITY FOR THE RATIO OF GAMMA FUNCTIONS , 2003 .

[11] S. Dragomir,et al. Monotonicity of Sequences Involving Convex and Concave Functions , 2003 .

[12] Feng Qi,et al. Monotonicity of sequences involving convex function and sequence , 2006 .

[13] H. Minc,et al. Some Inequalities involving (r!)1/r , 1964, Proceedings of the Edinburgh Mathematical Society.