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An upper bound for the Lebesgue constant (the supremum norm) of the operatorof interpolation of a function in equally spaced points of a triangle by apolynomial of total degree less than or equal to n is obtained. Earlier, therate of increase of the Lebesgue constants with respect to n for an arbitraryd-dimensional simplex was established by the author. The explicit upper boundproved in this article refines this result for d=2.

The Upper Bound for the Lebesgue Constant for Lagrange Interpolation in Equally Spaced Points of the Triangle