Optimization of 'interval' quadrature formulas for the classes $$$H^{\omega_+ ; \omega_-}$$$

S.V. Borodachev

doi:10.15421/249803

Optimization of 'interval' quadrature formulas for the classes $$$H^{\omega_+ ; \omega_-}$$$

S.V. Borodachev (Dnipropetrovsk State University)

Abstract

We solve the problem of optimization of approximate integration for the classes of periodic continuous functions that have given majorants of moduli of continuity by increase and decrease, by means of the algorithms that use $$$n$$$ means of a function over non-intersecting intervals of equal length.

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References

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