A Review on Approximation Results for Integral Operators in the Space of Functions of Bounded Variation

Joint Authors

Angeloni, Laura
Vinti, Gianluca

Source

Journal of Function Spaces

Issue

Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2016-09-26

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

We present a review on recent approximation results in the space of functions of bounded variation for some classes of integral operators in the multidimensional setting.

In particular, we present estimates and convergence in variation results for both convolution and Mellin integral operators with respect to the Tonelli variation.

Results with respect to a multidimensional concept of φ -variation in the sense of Tonelli are also presented.

American Psychological Association (APA)

Angeloni, Laura& Vinti, Gianluca. 2016. A Review on Approximation Results for Integral Operators in the Space of Functions of Bounded Variation. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1108598

Modern Language Association (MLA)

Angeloni, Laura& Vinti, Gianluca. A Review on Approximation Results for Integral Operators in the Space of Functions of Bounded Variation. Journal of Function Spaces No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1108598

American Medical Association (AMA)

Angeloni, Laura& Vinti, Gianluca. A Review on Approximation Results for Integral Operators in the Space of Functions of Bounded Variation. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1108598

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1108598