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math.GM2026
On some inequalities for weighted products and ratios of the sine function
Augustine L. Mahu, Benoît F. Sehba, Cecilia D. Williams
We introduce a reflection-substitution technique for sine inequalities that yields, via Hölder's inequality and its reverse, distinct upper bounds for products and lower…
math.GM2026
Weighted Product Inequalities for the Sine Function: A Gamma-Function Approach and Sharp Comparisons
Augustine L. Mahu, Benoît F. Sehba, Cecilia D. Williams
Using the log-convexity of the Gamma function and Euler's reflection formula, we give a new proof of a classical weighted sine product inequality. Two different parameter choices y…