On the estimates of the values of various widths of classes of functions of two variables in the weight space L2,γ (ℝ2), γ = exp(− x2− y2)

Вакарчук, С. Б.; Vakarchuk, M.B.

doi:10.1007/s10958-020-04871-5

J Math Sci

2020

DOI: 10.1007/s10958-020-04871-5

|View full text |Cite

On the estimates of the values of various widths of classes of functions of two variables in the weight space L2,γ (ℝ2), γ = exp(− x2− y2)

С. Б. Вакарчук

M.B. Vakarchuk

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2022

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

On estimates of diameter values of classes of functions in the weight space L2,γ (ℝ2), γ = exp(–x2 – y2)

Вакарчук

2022

J Math Sci

View full text Add to dashboard Cite

For a function f ∈ L2,γ (R 2 ), the q-averaging of the generalized m-order modulus of continuity Ωm,γ (f ) with the weight function ϕ, i.e., the value of Mq(Ωm,γ (f ), ϕ; t) (t ∈ (0, 1); m ∈ N; q ∈ (0, ∞)) has been considered. With its help and with the participation of the majorant Ψ, classes of two-variable functions W2(Ω q m,γ , ϕ;∀t ∈ (0, 1)} were introduced, for which upper and lower estimates of various diameters in the space L2,γ (R 2 ) were found. A certain condition on the majorant Ψ was found, under which exact diameter values can be calculated. A similar problem has been considered for the classes W r,0 2 (Ω q m,γ , ϕ;A number of results related to the specification of the exact values of various diameters are given.

show abstract

On estimates of diameter values of classes of functions in the weight space L2,γ (ℝ2), γ = exp(–x2 – y2)

Вакарчук

2022

J Math Sci

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.

On the estimates of the values of various widths of classes of functions of two variables in the weight space L2,γ (ℝ2), γ = exp(− x2− y2)

Cited by 1 publication

References 23 publications

On estimates of diameter values of classes of functions in the weight space L2,γ (ℝ2), γ = exp(–x2 – y2)

On estimates of diameter values of classes of functions in the weight space L2,γ (ℝ2), γ = exp(–x2 – y2)

Contact Info

Product

Resources

About