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math.CA2026
Optimal bounds for the ratio of differences of quadratic, arithmetic, and harmonic means
Zamina E. Guliyeva, Narmin N. Aliyeva, Yagub N. Aliyev
We determine the optimal constants in inequalities comparing the differences of the quadratic, arithmetic, and harmonic means of nonnegative real numbers. Specifically, we prov…
math.CA2024
The extremal values of the ratio of differences of power mean, arithmetic mean, and geometric mean
Yagub Aliyev
In the paper the maximum and the minimum of the ratio of the difference of the arithmetic mean and the geometric mean, and the difference of the power mean and the geometric mean o…
math.CA2023
The Best Constant For Inequality Involving Sum Of The Reciprocals And Product Of Positive Numbers With Unit Sum
Yagub N. Aliyev
In the paper we study a special parameter containing algebraic inequality involving sum of reciprocals and product of positive real numbers whose sum is 1. We determine the best va…