2022
DOI: 10.48550/arxiv.2205.09031
|View full text |Cite
Preprint
|
Sign up to set email alerts
|

Metrical approximations of functions

Abstract: In this paper, we analyze metrical approximations of functions F : Λ × X → Y by trigonometric polynomials and ρ-periodic type functions, where ∅ = Λ ⊆ R n , X and Y are complex Banach spaces, and ρ is a general binary relation on Y . Besides the classical concept, we analyze Stepanov, Weyl, Besicovitch and Doss generalized approaches to metrical approximations. We clarify many structural properties of introduced spaces of functions and provide several applications of our theoretical results to the abstract Vol… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1

Citation Types

0
1
0

Year Published

2023
2023
2023
2023

Publication Types

Select...
1

Relationship

0
1

Authors

Journals

citations
Cited by 1 publication
(1 citation statement)
references
References 22 publications
0
1
0
Order By: Relevance
“…Let us finally mention some conclusions and final remarks about the introduced notion, some topics not considered here and some perspectives for further expansion of the theory. Before proceeding any further, we would like to emphasize that many other classes of generalized ρ-almost periodic type sequences are introduced and analyzed in our recent research studies [22][23][24][25]48,49]. For example, suppose that F : I × X → Y and (1) holds.…”
Section: Conclusion and Final Remarksmentioning
confidence: 99%
“…Let us finally mention some conclusions and final remarks about the introduced notion, some topics not considered here and some perspectives for further expansion of the theory. Before proceeding any further, we would like to emphasize that many other classes of generalized ρ-almost periodic type sequences are introduced and analyzed in our recent research studies [22][23][24][25]48,49]. For example, suppose that F : I × X → Y and (1) holds.…”
Section: Conclusion and Final Remarksmentioning
confidence: 99%