Let [c, d] be an interval on the real line and μ be a measure of the form dμ = μ̇dω[c,d] with μ̇ = h~, where ~(t) = (t − c)c(d − t)d , αc, αd ∈ [0, 1/2), h is a Dini-continuous non-vanishing function on [c, d] with an argument of bounded variation, and ω[c,d] is the normalized arcsine distribution on [c, d]. Further, let p and q be two polynomials such that deg(p) < deg(q) and [c, d] ∩ z(q) = ∅, ...