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1

Modular estimates for nonlinear integral operators and applications in fractional calculus

Ilaria, Mantellini, Gianluca, Vinti

Journal:

Numerical Functional Analysis and Optimization

Year:

1996

Language:

english

File:

PDF, 702 KB

english, 1996

2

The Mellin–Parseval formula and its interconnections with the exponential sampling theorem of optical physics

Bardaro, Carlo, Butzer, Paul L., Mantellini, Ilaria

Journal:

Integral Transforms and Special Functions

Year:

2015

Language:

english

File:

PDF, 1.17 MB

english, 2015

3

A note on the Voronovskaja theorem for Mellin–Fejer convolution operators

Carlo Bardaro, Ilaria Mantellini

Journal:

Applied Mathematics Letters

Year:

2011

Language:

english

File:

PDF, 209 KB

english, 2011

4

A quantitative asymptotic formula for a general class of discrete operators

Carlo Bardaro, Ilaria Mantellini

Journal:

Computers & Mathematics with Applications

Year:

2010

Language:

english

File:

PDF, 267 KB

english, 2010

5

Bivariate Mellin convolution operators: Quantitative approximation theorems

Carlo Bardaro, Ilaria Mantellini

Journal:

Mathematical and Computer Modelling

Year:

2011

Language:

english

File:

PDF, 249 KB

english, 2011

6

A Quantitative Voronovskaya Formula for Mellin Convolution Operators

Carlo Bardaro, Ilaria Mantellini

Journal:

Mediterranean Journal of Mathematics

Year:

2010

Language:

english

File:

PDF, 294 KB

english, 2010

7

Voronovskaya-Type Estimates for Mellin Convolution Operators

Carlo Bardaro, Ilaria Mantellini

Journal:

Results in Mathematics

Year:

2007

Language:

english

File:

PDF, 190 KB

english, 2007

8

Asymptotic formulae for multivariate Kantorovich type generalized sampling series

Carlo Bardaro, Ilaria Mantellini

Journal:

Acta Mathematica Sinica, English Series (Springer)

Year:

2011

Language:

english

File:

PDF, 239 KB

english, 2011

9

On Voronovskaja formula for linear combinations of Mellin–Gauss–Weierstrass operators

Carlo Bardaro, Ilaria Mantellini

Journal:

Applied Mathematics and Computation

Year:

2012

Language:

english

File:

PDF, 216 KB

english, 2012

10

Approximation properties for linear combinations of moment type operators

Carlo Bardaro, Ilaria Mantellini

Journal:

Computers & Mathematics with Applications

Year:

2011

Language:

english

File:

PDF, 242 KB

english, 2011

11

On Convergence Properties for a Class of Kantorovich Discrete Operators

Bardaro, Carlo, Mantellini, Ilaria

Journal:

Numerical Functional Analysis and Optimization

Year:

2012

Language:

english

File:

PDF, 189 KB

english, 2012

12

On the Iterates of Mellin-Fejer Convolution Operators

Carlo Bardaro, Ilaria Mantellini

Journal:

Acta Applicandae Mathematicae

Year:

2012

Language:

english

File:

PDF, 582 KB

english, 2012

13

On Linear Combinations of Multivariate Generalized Sampling Type Series

Carlo Bardaro, Ilaria Mantellini

Journal:

Mediterranean Journal of Mathematics

Year:

2013

Language:

english

File:

PDF, 358 KB

english, 2013

14

The moments of the bivariate Mellin–Picard-type kernels and applications

Bardaro, Carlo, Mantellini, Ilaria

Journal:

Integral Transforms and Special Functions

Year:

2012

Language:

english

File:

PDF, 165 KB

english, 2012

15

On Mellin convolution operators: a direct approach to the asymptotic formulae

Bardaro, Carlo, Mantellini, Ilaria

Journal:

Integral Transforms and Special Functions

Year:

2014

Language:

english

File:

PDF, 176 KB

english, 2014

16

Approximation properties in abstract modular spaces for a class of general sampling-type operators

Bardaro, Carlo, Mantellini, Ilaria

Journal:

Applicable Analysis

Year:

2006

Language:

english

File:

PDF, 279 KB

english, 2006

17

On the asymptotic behaviour of linear combinations of Mellin-Picard type operators

Mantellini, Ilaria

Journal:

Mathematische Nachrichten

Year:

2013

Language:

english

File:

PDF, 164 KB

english, 2013

18

Generalized Sampling Approximation of Bivariate Signals: Rate of Pointwise Convergence

Bardaro, Carlo, Mantellini, Ilaria

Journal:

Numerical Functional Analysis and Optimization

Year:

2010

Language:

english

File:

PDF, 163 KB

english, 2010

19

The Foundations of Fractional Calculus in the Mellin Transform Setting with Applications

Bardaro, Carlo, Butzer, Paul L., Mantellini, Ilaria

Journal:

Journal of Fourier Analysis and Applications

Year:

2015

Language:

english

File:

PDF, 1.20 MB

english, 2015

20

Quantitative Approximation Properties for Iterates of Moment Operator

Bardaro, Carlo, Faina, Loris, Mantellini, Ilaria

Journal:

Mathematical Modelling and Analysis

Year:

2015

Language:

english

File:

PDF, 424 KB

english, 2015

21

On the Paley–Wiener theorem in the Mellin transform setting

Bardaro, Carlo, Butzer, Paul L., Mantellini, Ilaria, Schmeisser, Gerhard

Journal:

Journal of Approximation Theory

Year:

2016

Language:

english

File:

PDF, 325 KB

english, 2016

22

Quantitative Voronovskaja formulae for generalized Durrmeyer sampling type series

Bardaro, Carlo, Faina, Loris, Mantellini, Ilaria

Journal:

Mathematische Nachrichten

Year:

2016

Language:

english

File:

PDF, 271 KB

english, 2016

23

Multivariate generalized sampling type series: estimates of pointwise convergence

Bardaro, Carlo, Mantellini, Ilaria

Journal:

Year:

2015

Language:

english

File:

PDF, 194 KB

english, 2015

24

A Voronovskaya-Type Theorem for a General Class of Discrete Operators

Bardaro, Carlo, Mantellini, Ilaria

Journal:

Rocky Mountain Journal of Mathematics

Year:

2009

File:

PDF, 333 KB

2009

25

On Pointwise Approximation Properties of Multivariate Semi-discrete Sampling Type Operators

Bardaro, Carlo, Mantellini, Ilaria

Journal:

Results in Mathematics

Year:

2017

Language:

english

File:

PDF, 585 KB

english, 2017

26

A fresh approach to the Paley-Wiener theorem for Mellin transforms and the Mellin-Hardy spaces

Bardaro, Carlo, Butzer, Paul L., Mantellini, Ilaria, Schmeisser, Gerhard

Journal:

Mathematische Nachrichten

Year:

2017

Language:

english

File:

PDF, 314 KB

english, 2017

27

A generalization of the exponential sampling series and its approximation properties

Bardaro, Carlo, Faina, Loris, Mantellini, Ilaria

Journal:

Mathematica Slovaca

Year:

2017

Language:

english

File:

PDF, 453 KB

english, 2017

28

A generalization of the Paley–Wiener theorem for Mellin transforms and metric characterization of function spaces

Bardaro, Carlo, Butzer, Paul L., Mantellini, Ilaria, Schmeisser, Gerhard

Journal:

Fractional Calculus and Applied Analysis

Language:

english

File:

PDF, 361 KB

english

29

A Korovkin theorem in multivariate modular function spaces

Bardaro, Carlo, Mantellini, Ilaria

Journal:

Journal of Function Spaces and Applications

Year:

2009

Language:

english

File:

PDF, 1.88 MB

english, 2009

30

-Statistical Convergence

Bardaro, Carlo, Boccuto, Antonio, Demirci, Kamil, Mantellini, Ilaria, Orhan, Sevda

Journal:

Journal of Function Spaces

Year:

2015

Language:

english

File:

PDF, 1.96 MB

english, 2015

31

Quadrature formulae for the positive real axis in the setting of Mellin analysis: sharp error estimates in terms of the Mellin distance

Bardaro, Carlo, Butzer, Paul L., Mantellini, Ilaria, Schmeisser, Gerhard

Journal:

Year:

2018

Language:

english

File:

PDF, 626 KB

english, 2018

32

Asymptotic Formulae for Linear Combinations of Generalized Sampling Operators

Bardaro, Carlo, Mantellini, Ilaria

Journal:

Zeitschrift für Analysis und ihre Anwendungen

Year:

2013

Language:

english

File:

PDF, 285 KB

english, 2013

33

Development of a new concept of polar analytic functions useful in Mellin analysis

Bardaro, Carlo, Butzer, Paul L., Mantellini, Ilaria, Schmeisser, Gerhard

Journal:

Complex Variables and Elliptic Equations

Year:

2019

Language:

english

File:

PDF, 2.35 MB

english, 2019

34

Exponential Sampling Series: Convergence in Mellin–Lebesgue Spaces

Bardaro, Carlo, Mantellini, Ilaria, Schmeisser, Gerhard

Journal:

Results in Mathematics

Year:

2019

Language:

english

File:

PDF, 411 KB

english, 2019

35

Estimates of the approximation error for abstract sampling type operators in Orlicz spaces

Bordaro, Carlo, Mantellini, Ilaria

Journal:

Functiones et Approximatio Commentarii Mathematici

Year:

2006

Language:

english

File:

PDF, 301 KB

english, 2006

36

On Linear Combinations of General Exponential Sampling Series

Balsamo, Simona, Mantellini, Ilaria

Journal:

Results in Mathematics

Year:

2019

Language:

english

File:

PDF, 398 KB

english, 2019

37

Integration of polar-analytic functions and applications to Boasâ differentiation formula and Bernsteinâs inequality in Mellin setting

Bardaro, Carlo, Butzer, Paul L., Mantellini, Ilaria, Schmeisser, Gerhard

Journal:

Bollettino dell'Unione Matematica Italiana

Year:

2020

File:

PDF, 315 KB

2020

38

Valironâs Interpolation Formula and a Derivative Sampling Formula in the Mellin Setting Acquired via Polar-Analytic Functions

Bardaro, Carlo, Butzer, Paul L., Mantellini, Ilaria, Schmeisser, Gerhard

Journal:

Computational Methods and Function Theory

Year:

2020

File:

PDF, 386 KB

2020

39

On a Durrmeyer-type modification of the Exponential sampling series

Bardaro, Carlo, Mantellini, Ilaria

Journal:

Rendiconti del Circolo Matematico di Palermo (1952 -)

Year:

2020

File:

PDF, 1.48 MB

2020

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