| Abstract: Star formation plays a key role in galaxy evolution and can be significantly influenced by active galactic nuclei (AGN) through feedback processes. Using ultraviolet observations from UVIT and GALEX, complemented by multiwavelength data, we investigate the impact of AGN feedback on star formation in three nearby galaxies (within 16 Mpc): Centaurus A, NGC 3982, and NGC 628. In Centaurus A, we studied mechanical-mode AGN feedback and identified 352 ultraviolet sources in the Northern Star-forming Region. The spatial alignment of star-forming regions and the radio jet suggests jet-induced star formation, and our analysis reveals the likely trajectory of past jet activity. We also identified new star-forming sources where ongoing jet activity has plausibly triggered star formation. For NGC 3982, which hosts a Seyfert AGN, combined ultraviolet imaging and optical integral field spectroscopy reveal suppressed star formation in the central region due to negative radiative-mode AGN feedback. We also investigated NGC 628 for signatures of recent AGN activity. UVIT and JWST imaging reveal a central cavity devoid of recent star formation, while MUSE observations indicate strong ionisation within this region, likely produced by an AGN that was active until recently. Our results provide high spatial resolution evidence for both positive and negative AGN feedback in nearby galaxies. The cases of NGC 3982 and NGC 628 add to the limited observational evidence for AGN-driven regulation of star formation on sub-galactic scales. We also derive a relationship between radiative-mode AGN luminosity and the radius of the star formation cavity. |