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This Inequality States That for Any Bounded Interval Q=[a,b] and Any Continuously Differentiable f(x)∈C1(Q) with f(a)=f(b)=0. It Follows That ∫Q∣f∣2 dx≤[(b-a)22] ∫Q ∣f∣2 dx. The Constant (b-a)22 Cannot Be Further Improved [6].

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