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Marco Cantarini

Assistant Professor

University of Perugia

Italy

Research Interests

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Professors in Italy Professors in Mathematics Mathematics professors in Italy

About

Marco Cantarini is an Assistant Professor at the University of Perugia, Italy. His research areas encompass Fourier and Jacobi expansions, reaction-diffusion-convection models, neural network operators, and arithmetical functions. He has contributed to the field through numerous recent articles, exploring approximation results in Sobolev spaces and the interplay between various mathematical functions.

Articles (19)

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2025

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2025

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2025

Let G ⁢ ( g ; x ) := ∑ n ≤ x g ⁢ ( n ) {G(g;x):=\sum_{n\leq x}g(n)} be the summatory function of an arithmetical function g ⁢ ( n ) {g(n)} . In this paper, we prove that we can write weighted averages of an arbitrary fixed number N of arithmetical functions g j ⁢ (

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2024

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2024

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2023

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2023

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2022

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2022

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2022

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2022

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2022

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2021

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2021

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2021

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2021

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2021

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Marco Cantarini

Research Interests

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Articles (19)

Connection formulas between Fourier–Legendre/Jacobi expansions and central binomial series

Wavefront solutions for reaction–diffusion–convection models with accumulation term and aggregative movements

Simultaneous approximation by neural network operators with applications to Voronovskaja formulas

Laplace convolutions of weighted averages of arithmetical functions

Hypergeometric series, lemniscate functions, q-extensions and Jacobi elliptic functions

Approximation results in Sobolev and fractional Sobolev spaces by sampling Kantorovich operators

Correction to: On the interplay between hypergeometric series, Fourier–Legendre expansions and Euler sums (Bollettino dell'Unione Matematica Italiana, (2019), 12, 4, (623-656), 10.1007/s40574-019-00198-5)

Approximation of differentiable and not differentiable signals by the first derivative of sampling Kantorovich operators

A Cesàro average for an additive problem with an arbitrary number of prime powers and squares

Wavefront solutions for a class of nonlinear highly degenerate parabolic equations

A series evaluation technique based on a modified Abel lemma

A series evaluation technique based on a modified Abel lemma

Inverse Result of Approximation for the Max-Product Neural Network Operators of the Kantorovich Type and Their Saturation Order

Cesàro averages for Goldbach representations with summands in arithmetic progressions

A note on Clebsch–Gordan integral, Fourier–Legendre expansions and closed form for hypergeometric series

Symbolic computations via Fourier–Legendre expansions and fractional operators

Asymptotic Expansion for Neural Network Operators of the Kantorovich Type and High Order of Approximation

Cesàro averages for Goldbach representations with summands in arithmetic progressions

A note on an average additive problem with prime numbers

Collaborators (4)

Alessandro Zaccagnini

Cristina Marcelli

Danilo Costarelli

Gianluca Vinti

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