On Multiple Node Gaussian Quadrature Formulae
نویسندگان
چکیده
k Abstract. Let fip . . , Hk be odd positive integers and »i = Z¡=.x(p¡ + 1). Let {«(.}|=j be an extended Tchebycheff system on [a, b]. Let L be a positive linear functional on U = span( {u,}). We prove that L has a unique representation in the form k M,— 1 £ 0. We also give extensions to the cases when the {u¡} are a periodic extended Tchebycheff system and when L is a nonnegative linear functional.
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