Approximation by Cubic Mappings

Găvruţa, P.; Manolescu, Laura

doi:10.1007/978-3-030-28972-0_8

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

Publication Types

Select...

Article1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In [15], we investigated the approximation of functions by additive and by quadratic mappings, and we discussed the approximation of functions by cubic mappings [16].…”

Section: Introductionmentioning

confidence: 99%

Ulam’s Type Stability and Generalized Norms

Manolescu

2020

Symmetry

Self Cite

View full text Add to dashboard Cite

A symmetric functional equation is one whose form is the same regardless of the order of the arguments. A remarkable example is the Cauchy functional equation: f ( x + y ) = f ( x ) + f ( y ) . Interesting results in the study of the rigidity of quasi-isometries for symmetric spaces were obtained by B. Kleiner and B. Leeb, using the Hyers-Ulam stability of a Cauchy equation. In this paper, some results on the Ulam’s type stability of the Cauchy functional equation are provided by extending the traditional norm estimations to ther measurements called generalized norm of convex type (v-norm) and generalized norm of subadditive type (s-norm).

show abstract

“…In [15], we investigated the approximation of functions by additive and by quadratic mappings, and we discussed the approximation of functions by cubic mappings [16].…”

Section: Introductionmentioning

confidence: 99%

Ulam’s Type Stability and Generalized Norms

Manolescu

2020

Symmetry

Self Cite

View full text Add to dashboard Cite

show abstract

Approximation by Cubic Mappings

Cited by 1 publication

References 23 publications

Ulam’s Type Stability and Generalized Norms

Ulam’s Type Stability and Generalized Norms

Contact Info

Product

Resources

About