We answer the question: for , what are the greatest value and the least value such that the double inequality holds for all with . Here, , , and denote the power of order , Seiffert, and geometric means of two positive numbers and , respectively.
Yu-Ming Chu. Ye-Fang Qiu. Miao-Kun Wang. "Sharp Power Mean Bounds for the Combination of Seiffert and Geometric Means." Abstr. Appl. Anal. 2010 1 - 12, 2010. https://doi.org/10.1155/2010/108920