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The Gronwall Inequality for Weighted Integrals

The Gronwall Inequality for Weighted Integrals

The objective of this paper is to establish a Gronwall inequality for the weighted refinement integral [F, (wi, wi, w¡)] faf(t)dg(l).This result generalizes a recent result by W. W.Schmaedeke and G. R. Sell for the mean sigma integral and the interior refinement integral.The proof in this paper is based on …