Optimal two-parameter geometric and arithmetic mean bounds for the Sándor–Yang mean

Abstract

Abstract In the article, we provide the sharp bounds for the Sándor–Yang mean in terms of certain families of the two-parameter geometric and arithmetic mean and the one-parameter geometric and harmonic means. As applications, we present new bounds for a certain Yang mean and the inverse tangent function.

Keywords

• Arithmetic mean
• Geometric mean
• Quadratic mean
• Yang mean
• Sándor–Yang mean