On the best interval quadrature formula for the class $$$W^2 H_1^{\omega}$$$

Ye.V. Derets

doi:10.15421/240809

On the best interval quadrature formula for the class $$$W^2 H_1^{\omega}$$$

Ye.V. Derets (Dniprodzerzhinsk State Technical University), https://orcid.org/0000-0003-3516-7233

Abstract

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.

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References

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