On some properties of the orthogonal polynomials over a contour with general Jacobi weight

On the behavior of algebraic polynomials in regions with piecewise smooth boundary without cusps

“…The Bernstein-Walsh type estimate for a region G with quasiconformal boundary and weight function h(z) as in (1.3) in the space A p (h, G), p > 0, was given in [2]. In particular, for h(z) ≡ 1, (1.4) P n Ap(G R ) ≤ c 2 R * n+1/p P n Ap(G) , p > 0, where R * := 1 + c 3 (R − 1).…”