Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/3454

 Title: Most General Fractional Representation Formula for Functions and Implications Authors: Anastassiou, George A. Keywords: Fractional representationKalla fractional integralOstrowski inequality Issue Date: 2014 Publisher: Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 40, No 1, (2014), 89p-98p Abstract: 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. URI: http://hdl.handle.net/10525/3454 ISSN: 1310-6600 Appears in Collections: Volume 40, Number 1

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