Approximation properties of mixed sampling-Kantorovich operators

Angeloni, Laura; Costarelli, Danilo; Vinti, Gianluca

doi:10.1007/s13398-020-00936-x

RACSAM

2020

DOI: 10.1007/s13398-020-00936-x

|View full text |Cite

Approximation properties of mixed sampling-Kantorovich operators

Laura Angeloni

Danilo Costarelli

Gianluca Vinti

Abstract: In the present paper we study the pointwise and uniform convergence properties of a family of multidimensional sampling Kantorovich type operators. Moreover, besides convergence, quantitative estimates and a Voronovskaja type theorem have been established.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2023

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Different Variants of Bernstein Kantorovich Operators and Their Applications in Sciences and Engineering Field

BAWA,

BHARDWAJ,

BHATİA

2023

Chaos Theory and Applications

View full text Add to dashboard Cite

In this article, we investigate various Bernstein-Kantorovich variants together with their approximation properties. Nowadays, these variants of Bernstein-Kantorovich operators have been a source of inspiration for researchers as it helps to approximate integral functions also which is not feasible in the case of discrete operators. Chaos theory has also been referred to as complexity theory. Using chaos theory complexity is also reduced as in approximation theory. Thus in order to reduce complexity and to have better understanding of images in sciences and engineering field, sampling Kantorovich operators of approximation theory are widely used in this regard for enhancement of images. Thus, we discuss the important applications of Kantorovich operators depicting pragmatic and theoretical aspects of approximation theory.

show abstract

Different Variants of Bernstein Kantorovich Operators and Their Applications in Sciences and Engineering Field

BAWA,

BHARDWAJ,

BHATİA

2023

Chaos Theory and Applications

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Approximation properties of mixed sampling-Kantorovich operators

Abstract: In the present paper we study the pointwise and uniform convergence properties of a family of multidimensional sampling Kantorovich type operators. Moreover, besides convergence, quantitative estimates and a Voronovskaja type theorem have been established.

Cited by 1 publication

References 41 publications

Different Variants of Bernstein Kantorovich Operators and Their Applications in Sciences and Engineering Field

Different Variants of Bernstein Kantorovich Operators and Their Applications in Sciences and Engineering Field

Contact Info

Product

Resources

About