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Danilo Costarelli

Danilo Costarelli

D-Index & Metrics

Mathematics

D-Index
30
Citations
2795
World Ranking
3572
National Ranking
126

Overview

Danilo Costarelli is affiliated with the University of Perugia in Italy and has a research focus primarily in mathematics and computer science. Their work spans various subfields including statistics and probability, applied mathematics, artificial intelligence, numerical analysis, and computer vision and pattern recognition.

Their research contributions cover several main topics:

  • Approximation Theory and Sequence Spaces
  • Mathematical Analysis and Transform Methods
  • Advanced Harmonic Analysis Research
  • Neural Networks and Applications
  • Image and Signal Denoising Methods
  • Mathematical Approximation and Integration
  • Advanced Banach Space Theory

Costarelli has published extensively in venues including:

  • arXiv (Cornell University)
  • Mediterranean Journal of Mathematics
  • Results in Mathematics
  • Mathematical Foundations of Computing
  • Numerical Functional Analysis and Optimization

Some of the recent papers authored or coauthored by Costarelli include:

  • "A comparison between the sampling Kantorovich algorithm for digital image processing with some interpolation and quasi-interpolation methods" (2020), Applied Mathematics and Computation
  • "Approximation Properties of the Sampling Kantorovich Operators: Regularization, Saturation, Inverse Results and Favard Classes in Lp-Spaces" (2022), Journal of Fourier Analysis and Applications
  • "On the convergence properties of sampling Durrmeyer-type operators in Orlicz spaces" (2022), Mathematische Nachrichten

Frequent coauthors working closely with Costarelli include:

  • Gianluca Vinti
  • Michele Piconi
  • Laura Angeloni
  • Mariarosaria Natale
  • Marco Cantarini

The research collectively focuses on mathematical methods applied to analysis and approximation, with a significant emphasis on sampling operators and their properties. This expertise intersects with digital image processing and neural network applications, demonstrating a blend of theoretical and applied mathematical sciences.

Best Publications

  • Approximation results for neural network operators activated by sigmoidal functions

    Danilo Costarelli;Renato Spigler

  • Multivariate neural network operators with sigmoidal activation functions

    Danilo Costarelli;Renato Spigler

  • Full length article: Convergence of a family of neural network operators of the Kantorovich type

    Danilo Costarelli;Renato Spigler

  • Pointwise and uniform approximation by multivariate neural network operators of the max-product type

    Danilo Costarelli;Gianluca Vinti

  • Convergence for a family of neural network operators in Orlicz spaces

    Danilo Costarelli;Gianluca Vinti

  • Neural network operators

    Danilo Costarelli

  • Approximation by Nonlinear Multivariate Sampling Kantorovich Type Operators and Applications to Image Processing

    Danilo Costarelli;Gianluca Vinti

  • Detection of thermal bridges from thermographic images by means of image processing approximation algorithms

    Francesco Asdrubali;Giorgio Baldinelli;Francesco Bianchi;Danilo Costarelli

  • Approximation of discontinuous signals by sampling Kantorovich series

    Danilo Costarelli;Anna Maria Minotti;Gianluca Vinti

  • Max-product neural network and quasi-interpolation operators activated by sigmoidal functions

    Danilo Costarelli;Gianluca Vinti

  • Approximation by Multivariate Generalized Sampling Kantorovich Operators in the Setting of Orlicz Spaces

    Danilo Costarelli;Gianluca Vinti

  • Rate of approximation for multivariate sampling Kantorovich operators on some functions spaces

    Danilo Costarelli;Gianluca Vinti

  • Order of approximation for sampling Kantorovich operators

    Danilo Costarelli;Gianluca Vinti

  • Approximation by Max-Product Neural Network Operators of Kantorovich Type

    Danilo Costarelli;Gianluca Vinti

  • Interpolation by neural network operators activated by ramp functions

    Danilo Costarelli

  • Applications of sampling Kantorovich operators to thermographic images for seismic engineering

    Danilo Costarelli;Federico Cluni;Anna Maria Minotti;Gianluca Vinti

  • Degree of Approximation for Nonlinear Multivariate Sampling Kantorovich Operators on Some Functions Spaces

    Danilo Costarelli;Gianluca Vinti

  • A comparison between the sampling Kantorovich algorithm for digital image processing with some interpolation and quasi-interpolation methods

    Danilo Costarelli;Marco Seracini;Gianluca Vinti

  • Inverse results of approximation and the saturation order for the sampling Kantorovich series

    Danilo Costarelli;Gianluca Vinti

  • An inverse result of approximation by sampling Kantorovich series

    Danilo Costarelli;Gianluca Vinti

  • Approximation by series of sigmoidal functions with applications to neural networks

    Danilo Costarelli;Renato Spigler

  • Constructive Approximation by Superposition of Sigmoidal Functions

    Danilo Costarelli;Renato Spigler

Frequent Co-Authors

Gianluca Vinti
Gianluca Vinti University of Perugia
Francesco Asdrubali
Francesco Asdrubali University for Foreigners Perugia

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