A refinement of Vietoris' inequality for sine polynomials
A refinement of Vietoris' inequality for sine polynomials
Abstract Let equation image where equation image In 1958, Vietoris proved that σ n ( x ) is positive for all n ≥ 1 and x ∈ (0, π ). We establish the following refinement. The inequalities equation image hold for all natural numbers n and real numbers n ≥ …