Multivariate fractional Ostrowski type inequalities

Computers and Mathematics with Applications

Volumn 54, Issue 3, 2007, Pages 434-447

  Anastassiou, George A ^a  

^a University of Memphis   (United States)

Author keywords

Fractional derivative; Fractional inequality; Multivariate inequality; Ostrowski inequality; Sharp inequality

Indexed keywords

FUNCTIONS; VARIATIONAL TECHNIQUES;

MULTIVARIATE FRACTIONAL DERIVATIVES; MULTIVARIATE FUNCTION;

LINEAR MATRIX INEQUALITIES;

EID: 34250821171     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2007.01.024     Document Type: Article

References (7)

1. Ostrowski A. Über die Absolutabweichung einer differentiebaren Funcktion von ihrem Integralmittelwert. Commentarii Mathematici Helvetici 10 (1938) 226-227
2. Anastassiou G.A. Fractional Ostrowski type inequalities. Communications in Applied Analysis 7 2 (2003) 203-208
3. Canavati J.A. The Riemann-Liouville integral. Nieuw Archief Voor Wiskunde 5 1 (1987) 53-75
4. Anastassiou G.A. Opial type inequalities involving fractional derivatives of functions. Nonlinear Studies 6 2 (1999) 207-230
5. G.A. Anastassiou, Multivariate fractional Taylor's formula, Communications in Applied Analysis (2006) (in press)
6. Aliprantis C.D., and Burkinsham O. Principles of Real Analysis. 3rd ed. (1988), Academic Press, San Diego, New York
7. Anastassiou G.A. Quantitative Approximations (2001), Chapman & Hall/CRC, Boca Raton, New York