G. W. Hagerty, Preetom Nag
Abstract
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Kolmogorov (1949) determined the best possible constant Kn,m for the inequality where f is any function with n bounded, piecewise continuous derivative on ℝ and Mk(f) = supx∈ℝ|f(k)(x)|. In this paper, we provide a relatively simple proof for the case of equality.
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Kolmogorov (1949) determined the best possible constant Kn,m for the inequality where f is any function with n bounded, piecewise continuous derivative on ℝ and Mk(f) = supx∈ℝ|f(k)(x)|. In this paper, we provide a relatively simple proof for the case of equality.
Key concepts: Algorithm, Computer science