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Gianluca Vinti

Gianluca Vinti

D-Index & Metrics

Mathematics

D-Index
34
Citations
3458
World Ranking
2963
National Ranking
101

Overview

Gianluca Vinti is primarily affiliated with the University of Perugia in Italy. Their research spans the field of Mathematics, with a specific focus on Applied Mathematics, Statistics and Probability, Computer Vision and Pattern Recognition, Mathematical Physics, and Numerical Analysis.

Vinti's work covers a range of main topics including Approximation Theory and Sequence Spaces, Mathematical Analysis and Transform Methods, Advanced Harmonic Analysis Research, Image and Signal Denoising Methods, Mathematical Approximation and Integration, Advanced Banach Space Theory, and Neural Networks and Applications.

Key recent publications illustrate the scope and focus of their research:

  • A comparison between the sampling Kantorovich algorithm for digital image processing with some interpolation and quasi-interpolation methods, 2020, Applied Mathematics and Computation
  • Linear prediction and simultaneous approximation by m-th order Kantorovich type sampling series, 2020, Banach Journal of Mathematical Analysis
  • Approximation Properties of the Sampling Kantorovich Operators: Regularization, Saturation, Inverse Results and Favard Classes in Lp-Spaces, 2022, Journal of Fourier Analysis and Applications
  • Convergence of generalized sampling series in weighted spaces, 2022, Demonstratio Mathematica
  • On the convergence properties of sampling Durrmeyer-type operators in Orlicz spaces, 2022, Mathematische Nachrichten

Frequent co-authors in Vinti's research include:

  • Danilo Costarellı
  • Laura Angelonı
  • Marco Seracini
  • Michele Piconi
  • Marco Cantarini

Their publications appear in several recurring venues, highlighting ongoing contributions to specific journals and archives:

  • arXiv (Cornell University)
  • Numerical Functional Analysis and Optimization
  • Bollettino dell Unione Matematica Italiana
  • Applied Mathematics and Computation
  • Journal of Fourier Analysis and Applications

Gianluca Vinti's research engages deeply with theoretical and applied problems through the lens of functional analysis, approximation operators, and sampling theory. The body of work reveals an emphasis on mathematical frameworks that underpin digital image processing and signal denoising, utilizing advanced techniques from harmonic analysis and operator theory.

Best Publications

  • Nonlinear integral operators and applications

    Carlo Bardaro;Julian Musielak;Gianluca Vinti

  • Kantorovich-Type Generalized Sampling Series in the Setting of Orlicz Spaces

    C. Bardaro;G. Vinti;P. L. Butzer;R. L. Stens

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

    Danilo Costarelli;Gianluca Vinti

  • Convergence in Variation and Rates of Approximation for Bernstein-Type Polynomials and Singular Convolution Integrals

    C. Bardaro;P. L. Butzer;R. L. Stens;G. Vinti

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

    Danilo Costarelli;Gianluca Vinti

  • Prediction by Samples From the Past With Error Estimates Covering Discontinuous Signals

    C. Bardaro;P.L. Butzer;R.L. Stens;G. Vinti

  • 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 error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals

    C. Bardaro;P.L. Butzer;R.L. Stens;G. Vinti

  • 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 means of nonlinear Kantorovich sampling type operators in Orlicz spaces

    Gianluca Vinti;Luca Zampogni

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

    Danilo Costarelli;Gianluca Vinti

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

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

  • Nonlinear integral operators with homogeneous kernels: pointwise approximation theorems

    Carlo Bardaro;Gianluca Vinti;Harun Karsli

  • 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

  • A general approximation result for nonlinear integral operators and applications to signal processing

    Gianluca Vinti

Frequent Co-Authors

Danilo Costarelli
Danilo Costarelli University of Perugia
Paul L. Butzer
Paul L. Butzer RWTH Aachen University
Francesco Asdrubali
Francesco Asdrubali University for Foreigners Perugia
Patrizia Pucci
Patrizia Pucci University of Perugia
James Serrin
James Serrin University of Minnesota

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