Inequalities for partial moduli of continuity and partial derivatives
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1
Universidad de La Rioja
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2
Karlstad University
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ISSN: 0176-4276
Any de publicació: 2010
Volum: 34
Número: 1
Pàgines: 23-59
Tipus: Article
Altres publicacions en: Constructive Approximation
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Resum
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.