Asymptotic-numerical solution of nonlinear systems of one-dimensional balance laws. - Danilo Costarelli; Matteo Laurenzi; Renato Spigler (J. Comput. Phys., 2013)

Multivariate neural network operators with sigmoidal activation functions. - Danilo Costarelli; Renato Spigler (Neural Networks, 2013)

Approximation results for neural network operators activated by sigmoidal functions. - Danilo Costarelli; Renato Spigler (Neural Networks, 2013)

Applications of sampling Kantorovich operators to thermographic images for seismic engineering. - Danilo Costarelli; Federico Cluni; Anna Maria Minotti; Gianluca Vinti (CoRR, 2014)

Convergence of a family of neural network operators of the Kantorovich type. - Danilo Costarelli; Renato Spigler (J. Approx. Theory, 2014)

Neural network operators: Constructive interpolation of multivariate functions. - Danilo Costarelli (Neural Networks, 2015)

Max-product neural network and quasi-interpolation operators activated by sigmoidal functions. - Danilo Costarelli; Gianluca Vinti (J. Approx. Theory, 2016)

Pointwise and uniform approximation by multivariate neural network operators of the max-product type. - Danilo Costarelli; Gianluca Vinti (Neural Networks, 2016)

Approximation Problems for Digital Image Processing and Applications. - Danilo Costarelli; Marco Seracini; Gianluca Vinti (ICCSA (1), 2018)

Detection of thermal bridges from thermographic images by means of image processing approximation algorithms. - Francesco Asdrubali; Giorgio Baldinelli; Francesco Bianchi; Danilo Costarelli; Antonella Rotili; Marco Seracini; Gianluca Vinti (Appl. Math. Comput., 2018)

The max-product generalized sampling operators: convergence and quantitative estimates. - Lucian C. Coroianu; Danilo Costarelli; Sorin G. Gal; Gianluca Vinti (Appl. Math. Comput., 2019)

Quasi-projection operators with applications to differential-difference expansions. - Danilo Costarelli; Aleksandr V. Krivoshein; Maria Skopina; Gianluca Vinti (Appl. Math. Comput., 2019)

Approximate solutions of Volterra integral equations by an interpolation method based on ramp functions. - Danilo Costarelli (Comput. Appl. Math., 2019)

Inverse results of approximation and the saturation order for the sampling Kantorovich series. - Danilo Costarelli; Gianluca Vinti (J. Approx. Theory, 2019)

Convergence in Orlicz spaces by means of the multivariate max-product neural network operators of the Kantorovich type and applications. - Danilo Costarelli; Anna Rita Sambucini; Gianluca Vinti (Neural Comput. Appl., 2019)

A comparison between the sampling Kantorovich algorithm for digital image processing with some interpolation and quasi-interpolation methods. - Danilo Costarelli; Marco Seracini; Gianluca Vinti (Appl. Math. Comput., 2020)

Asymptotic expansions and Voronovskaja type theorems for the multivariate neural network operators. - Danilo Costarelli; Gianluca Vinti (Math. Found. Comput., 2020)

Preface: Special issue on approximation by linear and nonlinear operators with applications. Part I. - Danilo Costarelli (Math. Found. Comput., 2021)

Enhancement of Cone-Beam Computed Tomography Dental-Maxillofacial Images by Sampling Kantorovich Algorithm. - Danilo Costarelli; Pietro Pozzilli; Marco Seracini; Gianluca Vinti (Symmetry, 2021)

Improvement of retinal OCT angiograms by Sampling Kantorovich algorithm in the assessment of retinal and choroidal perfusion. - Carlo Cagini; Danilo Costarelli; R. Gujar; Marco Lupidi; G. A. Lutty; Marco Seracini; Gianluca Vinti (Appl. Math. Comput., 2022)

Preface: Special issue on approximation by linear and nonlinear operators with applications. Part Ⅱ. - Danilo Costarelli (Math. Found. Comput., 2022)

Density Results by Deep Neural Network operators with Integer weights. - Danilo Costarelli (Math. Model. Anal., 2022)

Improvement of renal image recognition through resolution enhancement. - Aleksandra Maria Osowska-Kurczab; Tomasz Les; Tomasz Markiewicz; Miroslaw Dziekiewicz; Malgorzata Lorent; Szczepan Cierniak; Danilo Costarelli; Marco Seracini; Gianluca Vinti (Expert Syst. Appl., 2023)

Preface: Special issue on approximation by linear and nonlinear operators with applications. Part III. - Danilo Costarelli (Math. Found. Comput., 2023)

Approximation error for neural network operators by an averaged modulus of smoothness. - Danilo Costarelli (J. Approx. Theory, 2023)

Implementation of neural network operators with applications to remote sensing data. - Danilo Costarelli; Michele Piconi (CoRR, 2024)

Microwave Remote Sensing of Soil Moisture, Above Ground Biomass and Freeze-Thaw Dynamic: Modeling and Empirical Approaches. - Laura Angeloni; Domenico Daniele Bloisi; Paolo Burghignoli; Davide Comite; Danilo Costarelli; Michele Piconi; Anna Rita Sambucini; Alessio Troiani; Alessandro Veneri (CoRR, 2024)

Convergence results in Orlicz spaces for sequences of max-product sampling Kantorovich operators. - Lorenzo Boccali; Danilo Costarelli; Gianluca Vinti (J. Comput. Appl. Math., 2024)

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)

Semi-discrete moduli of smoothness and their applications in one- and two- sided error estimates. - Danilo Costarelli; Donato Lavella (CoRR, 2025)

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