The approximation capabilities of Durrmeyer-type neural network operators. - Lucian C. Coroianu; Danilo Costarelli; Mariarosaria Natale; Alexandra Pantis (J. Appl. Math. Comput., 2024)

Interpolation Theory and Artificial Intelligence: A Roadmap for Satellite Data Augmentation. - Isabella Mereu; Mariarosaria Natale; Michele Piconi; Alessio Troiani; Vincenzo Suriani; Domenico Daniele Bloisi; Paolo Burghignoli; Danilo Costarelli; Alessandro Veneri; Davide Comite (IEEE J. Sel. Top. Appl. Earth Obs. Remote. Sens., 2025)

Image resizing by neural network operators and their convergence rate with respect to the Lp-norm and the dissimilarity index defined through the continuous SSIM. - Danilo Costarelli; Mariarosaria Natale; Michele Piconi (CoRR, 2025)

Sampling Kantorovich operators for speckle noise reduction using a Down-Up scaling approach and gap filling in remote sensing images. - Danilo Costarelli; Mariarosaria Natale (CoRR, 2025)

Advancements in nonlinear exponential sampling: convergence, quantitative analysis and Voronovskaya-type formula. - Danilo Costarelli; Mariarosaria Natale (Commun. Nonlinear Sci. Numer. Simul., 2026)