Vectorial fractional integral inequalities with convexity

• Authors: George Anastassiou
• Languages of publication: EN

Abstracts

EN

Here we present vectorial general integral inequalities involving products of multivariate convex and increasing functions applied to vectors of functions. As specific applications we derive a wide range of vectorial fractional inequalities of Hardy type. These involve the left and right: Erdélyi-Kober fractional integrals, mixed Riemann-Liouville fractional multiple integrals. Next we produce multivariate Poincaré type vectorial fractional inequalities involving left fractional radial derivatives of Canavati type, Riemann-Liouville and Caputo types. The exposed inequalities are of L
p type, p ≥ 1, and exponential type.

Keywords

EN

fractional integral; fractional radial derivative; Hardy vectorial fractional inequality; Poincaré vectorial fractional inequality; Erdélyi-Kober fractional integrals

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 10
• Pages: 1194-1211

Dates

published

1 - 10 - 2013

online

19 - 12 - 2013

Contributors

author

George Anastassiou

• Department of Mathematical Sciences, University of Memphis, Memphis, TN, 38152, USA

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Identifiers

DOI

10.2478/s11534-013-0210-8