Optimal Two Parameter Bounds for the Seiffert Mean

Abstract

We obtain sharp bounds for the Seiffert mean in terms of a two parameter family of means. Our results generalize and extend the recent bounds presented in the Journal of Inequalities and Applications (2012) and Abstract and Applied Analysis (2012).

Bounds for the arithmetic mean in terms of the Neuman, harmonic and contraharmonic means

“…Recently, the bivariate means have been the subject of intensive research. In particular, many remarkable inequalities can be found in the literature [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. Neuman [19,20]…”