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Optimal error estimates for corrected trapezoidal rules
Corrected trapezoidal rules are proved for b a f (x) dx under the assumption that f ∈ L p ([a,b]) for some 1 p ∞ .Such quadrature rules involve the trapezoidal rule modified by the addition of a term k[ f (a)f (b)] .The coefficient k in the quadrature formula …