The best approximation of the sinc function by a polynomial of degree  with the square norm.

Some inequalities are proved for coefficients of functions in the class P(α), where α ∈ [0,1), of functions with real part greater than α. In particular, new inequalities for coefficients in the Carathéodory class P(0) are given.

Periodic solutions of the equation $x^{''} (t) + g (x (t)) = p (t)$

Svatopluk Fučík, Vladimír Lovicar (1975)

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