Inequalities for partial moduli of continuity and partial derivatives

  1. Kolyada, V.I. 2
  2. Lázaro, F.J.P. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Karlstad University
    info

    Karlstad University

    Karlstad, Suecia

    ROR https://ror.org/05s754026

Zeitschrift:
Constructive Approximation

ISSN: 0176-4276

Datum der Publikation: 2010

Ausgabe: 34

Nummer: 1

Seiten: 23-59

Art: Artikel

DOI: 10.1007/S00365-010-9088-5 SCOPUS: 2-s2.0-79956267142 WoS: WOS:000290805700002 GOOGLE SCHOLAR

Andere Publikationen in: Constructive Approximation

Institutionelles Repository: lockOpen Access Editor

Projekte im Zusammenhang

Ortogonalidad, Teoría de la Aproximación y sus aplicaciones en Ciencia y Tecnología

2009/00206/001

Zusammenfassung

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.