Inequalities for partial moduli of continuity and partial derivatives
-
1
Universidad de La Rioja
info
-
2
Karlstad University
info
ISSN: 0176-4276
Ano de publicación: 2010
Volume: 34
Número: 1
Páxinas: 23-59
Tipo: Artigo
Outras publicacións en: Constructive Approximation
Proxectos relacionados
Resumo
We obtain pointwise and integral type estimates of higher-order partial moduli of continuity in C via partial derivatives. Also, a Gagliardo-Nirenberg type inequality for partial derivatives in a fixed direction is proved. Our methods enable us to study the case when different partial derivatives belong to different spaces, including the space L 1. © 2010 Springer Science+Business Media, LLC.