International Journal of Functional Analysis, Operator Theory and Applications
Volume 4, Issue 1, Pages 51 - 64
(June 2012)
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THE BANACH-STEINHAUS THEOREM AND THE CONVERGENCE OF INTEGRALS OF PRODUCTS
M. Guadalupe Morales M., Juan A. Escamilla R., Francisco J. Mendoza T. and Juan H. Arredondo R.
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Abstract:
Applying a version of the Banach-Steinhaus theorem, we determine asymptotic behavior, as  of integrals of the form  where I is a closed finite (or infinite) interval on  We use the Henstock-Kurzweil integral and we consider the Henstock-Kurzweil completion, where those limits are studied, as well. |
| Keywords and phrases: Banach-Steinhaus theorem, Henstock-Kurzweil integral, bounded variation function, Henstock-Kurzweil completion. |
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