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categoryرياضيات schoolبكالوريوس event_available2026-07-14

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Problem 108. Let k = 0,1,2, Suppose f E L'(R) is k - times differentiable (i.e. the derivatives f', f",..., f() exist and are integrable, i.e. belong to f = L¹(R). Show that there is a constant C such that |Ff(y)|≤ C(1+|y|)* (y Є R).

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