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The Levin–Stečkin Inequality and Simple Quadrature Rules

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Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 151))

Abstract

We obtain an error term for an extension of the Levin–Stečkin Inequality, which yields the error terms for the Midpoint, Trapezoid, and Simpson’s rules.

For A.McD. (Rex) Mercer, in loving memory.

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References

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Correspondence to Peter R. Mercer .

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Mercer, P.R. (2019). The Levin–Stečkin Inequality and Simple Quadrature Rules. In: Andrica, D., Rassias, T. (eds) Differential and Integral Inequalities. Springer Optimization and Its Applications, vol 151. Springer, Cham. https://doi.org/10.1007/978-3-030-27407-8_21

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