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This paper is devoted to obtain estimates and to point out convergence-type results and the superdense unbounded divergence for some pointwise approximation formulas, related to the Chebyshev best approximation on Jacobi node matrix.

Mathematics Subject Classification (2010): 41A05, 41A10, 41A17.

Keywords: Chebyshev best approximation, pointwise approximation, superdense unbounded divergence, error-approximation.