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the class of all real continuous functions on [−1, 1]. Denote by C r [−1,1] the space of real functions on [−1, 1] which have r continuous derivatives, and by C ∞ [−1,1] the space of real functions on [−1, 1] which are infinitely differentiable. For f ∈ L p [−1,1] , let E n (f ) p be the best approximation to f by polynomials of degree n in L p space. Our works ,  concern the divergence phenomena of trigonometric Lagrange interpolation approximations in comparison with best approximationsdoi:10.4064/cm-63-2-323-328 fatcat:f7baycbjajf3tcg4s6op5rb7o4