18 citations · 42 across the 13 of their papers we have counts for
5 papers · 1 filter
A Refinement of Vietoris Inequality for Cosine Polynomials
Horst Alzer, Man Kam Kwong
The classical Vietoris cosine inequality is refined by establishing a positive polynomial lower bound.
A Hardy-Littlewood Integral Inequality on Finite Intervals with a Concave Weight
Horst Alzer, Man Kam Kwong
A Hardy-Littlewood integral inequality on finite intervals with a concave weight is established. Given a function f on an interval [a,b], it is shown that the square of the weighte…
Nonnegative Trigonometric Polynomials and Sturms Theorem
Man Kam Kwong
In an earlier article [3], we presented an algorithm that can be used to rigorously check whether a specific cosine or sine polynomial is nonnegative in a given interval or not. Th…
Improved Vietoris Sine Inequalities for Non-Monotone, Non-Decaying Coefficients
Man Kam Kwong
Recently the author established an improvement of the classical Vietoris sine inequality to include sine polynomials with non-monotone coefficients. In this paper two further impro…
On Hopital-style rules for monotonicity and oscillation
Man Kam Kwong
We point out the connection of the so-called Hôpital-style rules for monotonicity and oscillation to some well-known properties of concave/convex functions. From this standpoint, w…