Abstract
Relying on Taylor's formula with an integral remainder, an integral is estimated in terms of the L p-norm of the (n+1)st derivative of its integrand. In this way, Iyengar's inequality and a number of other useful inequalities are generalized.
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Guo, BN., Qi, F. Some estimates of an integral in terms of the L p-norm of the (n+1)st derivative of its integrand. Analysis Mathematica 29, 1–6 (2003). https://doi.org/10.1023/A:1022894413541
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DOI: https://doi.org/10.1023/A:1022894413541