3 papers
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…
hep-th2026
Overcrowding and the Finite- Hilbert Space
Robert de Mello Koch, Anik Rudra, Augustine Larweh Mahu
Finite- trace relations reorganize the Hilbert space of gauge-invariant operators beyond the freely generated large- description. We study this structure using the Hironaka d…
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…