Difference between revisions of "Delta integral of certain shift of f is delta integral of f"

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Revision as of 14:33, 21 January 2023

Theorem

The following formula holds: $$\displaystyle\int_{t_0}^t \hat{f}(t,\sigma(\xi))\Delta \xi=\displaystyle\int_{t_0}^t f(\xi) \Delta \xi,$$ where $\hat{f}$ denotes the solution of the shifting problem.

Proof

References