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Danilo Costarelli

Danilo Costarelli

University of Perugia
Italy

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 30 3573 3186 126 119 120 2795

Danilo Costarelli publications per year

The chart shows the history of publications by Danilo Costarelli between 2011 and 2026, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Danilo Costarelli published across 16 years, from 2011 to 2026, averaging 9.1 papers a year. Output peaked at 21 publications in 2025. 22 of the 145 publications appeared in the last two years.

No. of publications
5 10 15 20
Bar chart. Horizontal axis: year, 2011 to 2026. Vertical axis: number of publications, 0 to 21. Peak 21 publications in 2025. 2011: 1 publication 2012: 0 publications 2013: 6 publications 2014: 8 publications 2015: 9 publications 2016: 4 publications 2017: 7 publications 2018: 10 publications 2019: 15 publications 2020: 13 publications 2021: 13 publications 2022: 11 publications 2023: 11 publications 2024: 15 publications 2025: 21 publications 2026: 1 publication
2011 2026

145 publications in total across all disciplines

View publications per year as a table
Danilo Costarelli: publications per year, 2011 to 2026
Year Publications
2011 1
2012 0
2013 6
2014 8
2015 9
2016 4
2017 7
2018 10
2019 15
2020 13
2021 13
2022 11
2023 11
2024 15
2025 21
2026 1
Total 145
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Danilo Costarelli 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 Danilo Costarelli sits on this spectrum.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 117–121 publications, is where this scientist sits. 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 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 publications 537+

This scientist: 120 publications — 21st percentile

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

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

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90 120
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
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Danilo Costarelli 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 Danilo Costarelli sits on this spectrum.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 30 D-Index, is where this scientist sits. 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: 30 D-Index — 5th percentile

5% of scientists in this discipline score the same or lower.

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

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174 30
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

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

External Links

Personal website of Danilo Costarelli

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Publications: 2

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