Zoltán Buczolich
Abstract
If a real function $f$ defined on an interval $I \subset {{\mathbf {R}}^m}$ is Henstock integrable, then one can always find a nondegenerate subinterval $J \subset I$ on which $f$ is Lebesgue integrable.
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If a real function $f$ defined on an interval $I \subset {{\mathbf {R}}^m}$ is Henstock integrable, then one can always find a nondegenerate subinterval $J \subset I$ on which $f$ is Lebesgue integrable.
Key concepts: Integrable system, Locally integrable function, Lebesgue integration, Mathematics, Pure mathematics, Interval (graph theory), Function (biology), Mathematical analysis