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Approximation properties of a certain nonlinear Durrmeyer operators

Approximation properties of a certain nonlinear Durrmeyer operators

The present paper is concerned with a certain sequence of the nonlinear Durrmeyer operators NDn, very recently introduced by the author [22] and [23], of the form (NDnf)(x)=?10 Kn (x,t,f(t))dt, 0 ? x ? 1, n ? N, acting on Lebesgue measurable functions defined on [0,1], where Kn (x,t,u) = …