Functions of Bounded (&amp;lt;i&amp;gt;p&amp;lt;/i&amp;gt;(&amp;amp;sdot;), 2)-Variation in De la Vall&amp;#233;e Poussin-Wiener’s Sense with Variable Exponent

Working in the frame of variable bounded variation spaces in the sense of Wiener, introduced by Castillo, Merentes, and Rafeiro, we prove convergence in variable variation by means of the classical convolution integral operators. In the proposed approach, a crucial step is the convergence of the variable modulus of smoothness for absolutely continuous functions. Several preliminary properties of the variable $$p(\cdot )$$ p ( · ) -variation are also presented.

show abstract

Convolution Integral Operators in Variable Bounded Variation Spaces

Angeloni

Merentes

Valera-López

2023

Mediterr. J. Math.

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.

Functions of Bounded (<i>p</i>(&sdot;), 2)-Variation in De la Vallée Poussin-Wiener’s Sense with Variable Exponent

Abstract: In this paper we establish the notion of the space of bounded

Cited by 1 publication

References 19 publications

Convolution Integral Operators in Variable Bounded Variation Spaces

Convolution Integral Operators in Variable Bounded Variation Spaces

Contact Info

Product

Resources

About