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Simpson's formula for functions whose derivatives belong to \(L_p\) spaces - MaRDI portal

Simpson's formula for functions whose derivatives belong to \(L_p\) spaces (Q5938891)

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scientific article; zbMATH DE number 1631107
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Simpson's formula for functions whose derivatives belong to \(L_p\) spaces
scientific article; zbMATH DE number 1631107

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    Simpson's formula for functions whose derivatives belong to \(L_p\) spaces (English)
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    7 August 2001
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    \textit{S. S. Dragomir} [J. KSIM 22, 57-65 (1998; Zbl 0932.41028)] gave an inequality of Simpson's type for functions whose derivatives belong to \(L_p\) spaces. Here, we generalize his results using functions whose \(n\)th derivatives, \(n\in \{2,3,4\}\) belong to \(L_p\) spaces.
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