World's Best Scientists 2026 revealed!
Gianluca Vinti

Gianluca Vinti

D-Index & Metrics

Mathematics

D-Index
34
Citations
3458
World Ranking
2964
National Ranking
101

Gianluca Vinti publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Gianluca Vinti sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 182 publications — 54th percentile

54% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Gianluca Vinti D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Gianluca Vinti sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 34 D-Index — 21st percentile

21% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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