Summary: We introduce a notion of generalized Auslander-Reiten duality on a Hom-finite Krull-Schmidt exact category \(\mathcal{C}\). This duality induces the generalized Auslander-Reiten translation functors \(\tau\) and \(\tau^-\). They are mutually quasi-inverse equivalences between the stable categories of two full subcategories \(\mathcal{C}_r\) and \(\mathcal{C}_l\) of \(\mathcal{C}\). A non-projective indecomposable object lies in the domain of \(\tau\) if and only if it appears as the third term of an almost split conflation; dually, a non-injective indecomposable object lies in the domain of \(\tau^-\) if and only if it appears as the first term of an almost split conflation. We study the generalized Auslander-Reiten duality on the category of finitely presented representations of locally finite interval-finite quivers.