image-convergence of Fourier sums with exponential weights on image Original Research Article

In order to approximate functions defined on (−1,1)(−1,1) and having exponential singularities at the endpoints of the interval, we study the behavior of some modified Fourier Sums in an orthonormal system related to exponential weights. We give necessary and sufficient conditions for the boundedness of the related operators in suitable weighted LpLp-spaces, with 1