q− Fractional Inequalities

• Main Author: George A Anastassiou
• Format: Article
• Language: English
• Published: Universidad de La Frontera 2011-01-01
• Series: Cubo
• Subjects: qfractional derivative; qfractional integral; qfractional Poincaré inequality; q fractional Sobolev inequality; qfractio- nal Hilbert-Pachpatte inequality
• Online Access: http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000100005
• ISSN: 0716-7776; 0719-0646

Here we give q&#8722;fractional Poincaré type, Sobolev type and Hilbert-Pachpatte type integral inequalities, involving q&#8722;fractional derivatives of functions. We give also their generalized versions.<br>Estudiamos el tipo q&#8722;fraccional Poincaré, el tipo Sobolev y el tipo integral de inecuaciones de Hilbert-Pachpatte, involucrando a q&#8722;fraccional derivados de funciones. Damos también las versiones generalizadas.