In this paper, we consider a class of continuous nonlinear programs posed in a function space called separated continuous nonlinear programs (SCNP). In first step we transform the constraints of problem to integral constraints. Then by using Riesz representation theorem we reduce the later problem to an infinitedimensional linear programming problem. After that we approximate the later problem to a finite-dimensional linear programming problem. Then by solving this problem, we obtain an approximate solution for original problem in the form piecewise constant function. Finally, we investigate several numerical examples

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