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Optimal inequalities between Neuman-Sándor, centroidal and harmonic means

Optimal inequalities between Neuman-Sándor, centroidal and harmonic means

In this paper, we answer the question: what are the greatest values α 1 , α 2 and the least values β 1 ,β 2 , such that the inequalitiesa,b) hold for all a,b > 0 with a = b ?Here, R(a,b) , T (a,b) and H(a,b) denote the Neuman-Sándor, …