Geodesic
Most General Fractional Representation Formula for Functions and Implications
Serdica Mathematical Journal, Tome 40 (2014) no. 1, pp. 89-98.

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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, [3], [4], [5]. 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.
Keywords: Fractional representation, Kalla fractional integral, Ostrowski inequality 
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Anastassiou, George A. Most General Fractional Representation Formula for Functions and Implications. Serdica Mathematical Journal, Tome 40 (2014) no. 1, pp. 89-98. http://geodesic.mathdoc.fr/item/SMJ2_2014_40_1_a6/