Fractional representation Kalla fractional integral Ostrowski inequality
Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 40, No 1, (2014), 89p-98p
Here we present the most general fractional representation formulae for a function in terms of the most general fractional integral operators due to S. Kalla, , , . The last include most of the well-known fractional integrals such as of Riemann-Liouville, Erdélyi-Kober and Saigo, etc. Based on these we derive very general fractional Ostrowski type inequalities. 2010 Mathematics Subject Classification: 26A33, 26D10, 26D15.