On the best quadrature formula of the form $$$\sum\limits_{k=1}^n p_k f(x_k)$$$ on the class $$$W^2 H^{\omega}$$$

V.P. Motornyi; A.O. Kushch

doi:10.15421/248710

On the best quadrature formula of the form $$$\sum\limits_{k=1}^n p_k f(x_k)$$$ on the class $$$W^2 H^{\omega}$$$

V.P. Motornyi (Dnipropetrovsk State University)
A.O. Kushch (Dnipropetrovsk State University)

Abstract

We show that the formula of rectangles is the best on the class $$$W^2 H^{\omega}$$$ among all quadrature formulas of the form $$$\sum\limits_{k=1}^n p_k f(x_k)$$$.

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References

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