Most General Fractional Representation Formula for Functions and Implications

Anastassiou, George A.. "Most General Fractional Representation Formula for Functions and Implications." Serdica Mathematical Journal 40.1 (2014): 89-98. <http://eudml.org/doc/294994>.

@article{Anastassiou2014,
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.},
author = {Anastassiou, George A.},
journal = {Serdica Mathematical Journal},
keywords = {Fractional representation; Kalla fractional integral; Ostrowski inequality},
language = {eng},
number = {1},
pages = {89-98},
publisher = {Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences},
title = {Most General Fractional Representation Formula for Functions and Implications},
url = {http://eudml.org/doc/294994},
volume = {40},
year = {2014},
}

TY - JOUR
AU - Anastassiou, George A.
TI - Most General Fractional Representation Formula for Functions and Implications
JO - Serdica Mathematical Journal
PY - 2014
PB - Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
VL - 40
IS - 1
SP - 89
EP - 98
AB - 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.
LA - eng
KW - Fractional representation; Kalla fractional integral; Ostrowski inequality
UR - http://eudml.org/doc/294994
ER -