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Keywords:
pseudopartition; strong Luzin condition; bounded variation; Riemann type integral; controlled convergence theorem; ACG$^\circ$; ACG$^\circ$
pseudopartition; strong Luzin condition; bounded variation; Riemann type integral; controlled convergence theorem; ACG$^\circ$; ACG$^\circ$
Summary:
A descriptive characterization of a Riemann type integral, defined by BV partition of unity, is given and the result is used to prove a version of the controlled convergence theorem.
References:
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