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We found the error of interval quadrature formula of rectangles for the class of functions with given convex majorant of integral modulus of continuity of second derivative.

We prove that the rectangular interval quadrature formula is the best for the class of functions with given convex majorant of integral modulus of continuity of the second derivative.

The error of the interval quadrature rectangle formula on the class of periodic functions with convex majorant of the integral modulus of continuity of even derivative are obtained.

The optimal interval quadrature formula in the class of functions with convex majorant of the modulus of continuity of third derivative is obtained.

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