Piotr Sworowski, Casimirus the Great University, Department of Mathematics, Plac Weyssenhoffa 11, 85-072 Bydgoszcz, Poland, e-mail: email@example.com
Abstract: Using the concept of the $ H_1$-integral, we consider a similarly defined Stieltjes integral. We prove a Riemann-Lebesgue type theorem for this integral and give examples of adjoint classes of functions.
Keywords: Stieltjes integral, Kurzweil integral, Henstock integral, $ H_1$-integral, Riemann-Lebesgue theorem, variational measure, adjoint classes
Classification (MSC 2000): 26A39
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