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The paper discusses the best or optimal uniform approximation problem by entire functions on a closed angle Δ. This problem has been studied by M.V. Keldysch in [4], under the assumption that the functions ƒ subject to approximation are holomorphic in a larger angle containing Δ and there is no restriction on the growth of ƒ at infinity. In [8], the problem was investigated for a wider class of functions...