Gauss-turán quadratures of chebyshev type and error formulae

This paper begins with an investigation of two special forms of the Gauss-Turán quadrature of Chebyshev-type of precision 6n?1. Then the remainder formulas of these quadratures are developed and sharp error bounds for the functions inC ^q ?1, 1] are shown, whereq is a positive integer. Most importantly this study proves that these reslts can be extended in order to yield sharp error estimates for all such quadratures of higher precision.