New quadrature formulas based on the zeros of the chebyshev polynomials of the second kind

The aim of this work is to construct a new quadrature formula based on the divided differences of the integrand at points -1, 1 and the zeros of the nth Chebyshev polynomial of the second kind. The interesting thing is that this quadrature rule is closely related to the well-known Gauss-Turán quadrature formula and includes a recent result obtained by A.K. Varma and E. Landau as a special case.