Journal or Book Title
SIAM Journal of Mathematical Analysis
Asymptotic estimates for classical higher order averaging are obtained on intervals of length greater than 0(1/e) when some of the averages vanish. These results are compared with results of Persek using iterated averaging, and the classical methods are found to be more powerful.
Society for Industrial and Applied Mathematics
Murdock, James, "Some Asymptotic Estimates for Higher-Order Averaging and a Comparison with Iterated Averaging" (1983). Mathematics Publications. 114.