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Volume 79, 2001 - Issue 1-2

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A general approximation result for nonlinear integral operators and applications to signal processingFootnote^*
^*Dedicated to the memory of my Father, Professor Calogero Vinti, with all my respect, esteem and love, and in recognition of his fundamental work in approximation theory.

Gianluca Vinti Departmento di Mathematia e Informatica Universitá degli Studi di, Perugia Via Vanvitelli, Perugia, Italy, 1 06123

Pages 217-238 | Published online: 02 May 2007

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https://doi.org/10.1080/00036810108840958

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Danilo Costarelli & Gianluca Vinti. (2015) Degree of Approximation for Nonlinear Multivariate Sampling Kantorovich Operators on Some Functions Spaces. Numerical Functional Analysis and Optimization 36:8, pages 964-990.
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Carlo Bardaro, Loris Faina & Ilaria Mantellini. (2015) Quantitative Approximation Properties for Iterates of Moment Operator. Mathematical Modelling and Analysis 20:2, pages 261-272.
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C. Bardaro, A. Boccuto, X. Dimitriou & I. Mantellini. (2013) Modular filter convergence theorems for abstract sampling type operators. Applicable Analysis 92:11, pages 2404-2423.
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Danilo Costarelli & Gianluca Vinti. (2013) Approximation by Nonlinear Multivariate Sampling Kantorovich Type Operators and Applications to Image Processing. Numerical Functional Analysis and Optimization 34:8, pages 819-844.
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Carlo Bardaro & Ilaria Mantellini. (2006) Approximation properties in abstract modular spaces for a class of general sampling-type operators. Applicable Analysis 85:4, pages 383-413.
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Articles from other publishers (25)

Marco Seracini & Gianluca Vinti. (2023) Sampling by Difference as a Method of Applying the Sampling Kantorovich Model in Digital Image Processing. Applied Sciences 13:9, pages 5594.
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Danilo Costarelli, Michele Piconi & Gianluca Vinti. (2022) On the convergence properties of sampling Durrmeyer‐type operators in Orlicz spaces. Mathematische Nachrichten 296:2, pages 588-609.
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Danilo Costarelli & Gianluca Vinti. 2023. Sampling, Approximation, and Signal Analysis. Sampling, Approximation, and Signal Analysis 23 38 .

Marco Cantarini, Danilo Costarelli & Gianluca Vinti. 2023. Recent Advances in Mathematical Analysis. Recent Advances in Mathematical Analysis 249 267 .

Gianluca Vinti & Luca Zampogni. (2022) A general method to study the convergence of nonlinear operators in Orlicz spaces. Advanced Nonlinear Studies 22:1, pages 594-618.
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Danilo Costarelli & Gianluca Vinti. (2020) Convergence of sampling Kantorovich operators in modular spaces with applications. Rendiconti del Circolo Matematico di Palermo Series 2 70:2, pages 1115-1136.
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Nursel Çetin, Danilo Costarelli & Gianluca Vinti. (2021) Quantitative Estimates for Nonlinear Sampling Kantorovich Operators. Results in Mathematics 76:2.
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İsmail Aslan. (2020) Convergence in Phi-Variation and Rate of Approximation for Nonlinear Integral Operators Using Summability Process. Mediterranean Journal of Mathematics 18:1.
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Kamil Demirci, Antonio Boccuto, Sevda Yıldız & Fadime Dirik. (2019) Relative uniform convergence of a sequence of functions at a point and Korovkin-type approximation theorems. Positivity 24:1, pages 1-11.
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Carlo Bardaro, Ilaria Mantellini & Gerhard Schmeisser. (2019) Exponential Sampling Series: Convergence in Mellin–Lebesgue Spaces. Results in Mathematics 74:3.
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Sathish Kumar Angamuthu & Devaraj Ponnaian. (2018) Approximation by generalized bivariate Kantorovich sampling type series. The Journal of Analysis 27:2, pages 429-449.
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A. Sathish Kumar, Mahmood Pourgholamhossein & Seyyed Mohammad Tabatabaie. (2018) Generalized Kantorovich sampling type series on hypergroups. Novi Sad Journal of Mathematics 48:1, pages 117-127.
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Antonio Boccuto & Xenofon Dimitriou. (2016) Korovkin-type Theorems for Abstract Modular Convergence. Results in Mathematics 69:3-4, pages 477-495.
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Danilo Costarelli & Gianluca Vinti. (2015) Multivariate sampling Kantorovich operators: from the theory to the Digital Image Processing algorithm. PAMM 15:1, pages 655-656.
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Danilo Costarelli. (2015) Neural network operators: Constructive interpolation of multivariate functions. Neural Networks 67, pages 28-36.
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F. Cluni, D. Costarelli, A.M. Minotti & G. Vinti. (2015) Enhancement of thermographic images as tool for structural analysis in earthquake engineering. NDT & E International 70, pages 60-72.
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Carlo Bardaro, Antonio Boccuto, Kamil Demirci, Ilaria Mantellini & Sevda Orhan. (2015) Korovkin-Type Theorems for Modular - -Statistical Convergence . Journal of Function Spaces 2015, pages 1-11.
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Danilo Costarelli & Gianluca Vinti. (2014) Rate of approximation for multivariate sampling Kantorovich operators on some functions spaces. Journal of Integral Equations and Applications 26:4.
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Antonio Boccuto, Domenico Candeloro & Anna Rita Sambucini. (2014) Vitali-type theorems for filter convergence related to vector lattice-valued modulars and applications to stochastic processes. Journal of Mathematical Analysis and Applications 419:2, pages 818-838.
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Danilo Costarelli. (2014) Interpolation by neural network operators activated by ramp functions. Journal of Mathematical Analysis and Applications 419:1, pages 574-582.
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Antonio Boccuto & Xenofon Dimitriou. (2014) Rates of approximation for general sampling-type operators in the setting of filter convergence. Applied Mathematics and Computation 229, pages 214-226.
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Antonio Boccuto & Xenofon Dimitriou. (2013) Modular filter convergence theorems for Urysohn integral operators and applications. Acta Mathematica Sinica, English Series 29:6, pages 1055-1066.
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Gianluca Vinti & Luca Zampogni. (2009) Approximation by means of nonlinear Kantorovich sampling type operators in Orlicz spaces. Journal of Approximation Theory 161:2, pages 511-528.
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C. Bardaro, G. Vinti, P. L. Butzer & R. L. Stens. (2007) Kantorovich-Type Generalized Sampling Series in the Setting of Orlicz Spaces. Sampling Theory in Signal and Image Processing 6:1, pages 29-52.
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C. Bardaro & G. Vinti. (2004) An Abstract Approach to Sampling-Type Operators inspired by the Work of P.L.Butzer. Sampling Theory in Signal and Image Processing 3:1, pages 29-44.
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A general approximation result for nonlinear integral operators and applications to signal processingFootnote^*
^*Dedicated to the memory of my Father, Professor Calogero Vinti, with all my respect, esteem and love, and in recognition of his fundamental work in approximation theory.

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A general approximation result for nonlinear integral operators and applications to signal processingFootnote**Dedicated to the memory of my Father, Professor Calogero Vinti, with all my respect, esteem and love, and in recognition of his fundamental work in approximation theory.

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A general approximation result for nonlinear integral operators and applications to signal processingFootnote^*
^*Dedicated to the memory of my Father, Professor Calogero Vinti, with all my respect, esteem and love, and in recognition of his fundamental work in approximation theory.