Advanced search
Publication Cover
Integral Transforms and Special Functions Volume 19, 2008 - Issue 6
Submit an article Journal homepage
225
Views
25
CrossRef citations to date
0
Altmetric
Original Articles

On pointwise convergence of linear integral operators with homogeneous kernels

Carlo Bardaro Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, Perugia, ItaliaCorrespondence[email protected]
,
Gianluca Vinti Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, Perugia, Italia
&
Harun Karsli Department of Mathematics, University of Ankara, Tandogan, Ankara, Turkey
Pages 429-439 | Received 19 Feb 2007, Published online: 28 Oct 2008

Citations (25)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (2)

Laura Angeloni & Gianluca Vinti. (2015) Convergence in variation and a characterization of the absolute continuity. Integral Transforms and Special Functions 26:10, pages 829-844.
Read now
Carlo Bardaro, Gianluca Vinti & Harun Karsli. (2011) Nonlinear integral operators with homogeneous kernels: pointwise approximation theorems. Applicable Analysis 90:3-4, pages 463-474.
Read now

Articles from other publishers (23)

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.
Crossref
Francesco Asdrubali, Giorgio Baldinelli, Francesco Bianchi, Danilo Costarelli, Francesco D'Alessandro, Flavio Scrucca, Marco Seracini & Gianluca Vinti. (2021) Mathematical models for the improvement of detection techniques of industrial noise sources from acoustic images. Mathematical Methods in the Applied Sciences 44:13, pages 10448-10459.
Crossref
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.
Crossref
Nursel Çetin, Danilo Costarelli & Gianluca Vinti. (2021) Quantitative Estimates for Nonlinear Sampling Kantorovich Operators. Results in Mathematics 76:2.
Crossref
Lucian Coroianu, Danilo Costarelli, Sorin G. Gal & Gianluca Vinti. (2019) Approximation by max-product sampling Kantorovich operators with generalized kernels. Analysis and Applications 19:02, pages 219-244.
Crossref
Ron Kerman. (2020) Construction of Weights for Positive Integral Operators. Symmetry 12:6, pages 1004.
Crossref
Danilo Costarelli & Gianluca Vinti. (2019) Saturation by the Fourier transform method for the sampling Kantorovich series based on bandlimited kernels. Analysis and Mathematical Physics 9:4, pages 2263-2280.
Crossref
Mine MENEKŞE YILMAZ. (2018) A Note On Convergence of Nonlinear General Type Two Dimensional Singular Integral Operators. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22:6, pages 1836-1841.
Crossref
Danilo Costarelli & Gianluca Vinti. (2018) Approximation theorems for a family of multivariate neural network operators in Orlicz-type spaces. Ricerche di Matematica 67:2, pages 387-399.
Crossref
Harun KARSLI. (2018) Approximation Results for Urysohn Type Two Dimensional Nonlinear Bernstein Operators. Constructive Mathematical Analysis 1:1, pages 45-57.
Crossref
Harun Karsli. 2018. Advances in Summability and Approximation Theory. Advances in Summability and Approximation Theory 223 241 .
Danilo Costarelli, Anna Maria Minotti & Gianluca Vinti. (2017) Approximation of discontinuous signals by sampling Kantorovich series. Journal of Mathematical Analysis and Applications 450:2, pages 1083-1103.
Crossref
Danilo Costarelli & Gianluca Vinti. (2017) Convergence for a family of neural network operators in Orlicz spaces. Mathematische Nachrichten 290:2-3, pages 226-235.
Crossref
Gumrah Uysal & Ertan Ibikli. (2016) Weighted approximation by double singular integral operators with radially defined kernels. Mathematical Sciences 10:4, pages 149-157.
Crossref
Laura Angeloni & Gianluca Vinti. (2016) A concept of absolute continuity and its characterization in terms of convergence in variation. Mathematische Nachrichten 289:16, pages 1986-1994.
Crossref
Danilo Costarelli & Gianluca Vinti. (2016) Pointwise and uniform approximation by multivariate neural network operators of the max-product type. Neural Networks 81, pages 81-90.
Crossref
Danilo Costarelli & Gianluca Vinti. (2016) Max-product neural network and quasi-interpolation operators activated by sigmoidal functions. Journal of Approximation Theory 209, pages 1-22.
Crossref
Danilo Costarelli & Gianluca Vinti. (2016) Approximation by Max-Product Neural Network Operators of Kantorovich Type. Results in Mathematics 69:3-4, pages 505-519.
Crossref
Laura Angeloni & Gianluca Vinti. (2016) A Review on Approximation Results for Integral Operators in the Space of Functions of Bounded Variation. Journal of Function Spaces 2016, pages 1-11.
Crossref
Gumrah Uysal, Mine Menekse Yilmaz & Ertan Ibikli. (2015) A study on pointwise approximation by double singular integral operators. Journal of Inequalities and Applications 2015:1.
Crossref
Mine Menekse Yilmaz, Gumrah Uysal & Ertan Ibikli. (2014) A note on rate of convergence of double singular integral operators. Advances in Difference Equations 2014:1.
Crossref
Harun Karsli. (2014) Fatou type convergence of nonlinear m-singular integral operators. Applied Mathematics and Computation 246, pages 221-228.
Crossref
Harun Karsli. (2010) On approximation properties of non-convolution type nonlinear integral operators. Analysis in Theory and Applications 26:2, pages 140-152.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.