Weighted Montgomery identity for the fractional integral of a function with respect to another function. Aljinovic, A. A., Krnic, M., & Pecaric, J. *GEORGIAN MATHEMATICAL JOURNAL*, 21(1):1–10, WALTER DE GRUYTER GMBH, GENTHINER STRASSE 13, D-10785 BERLIN, GERMANY, 2014. doi abstract bibtex We present a weighted Montgomery identity for the fractional integral of a function f with respect to another function g and use it to obtain weighted Ostrowski type inequalities for fractional integrals involving functions whose first derivatives belong to L (p) spaces. These inequalities are generally sharp in case p > 1 and best possible in case p = 1. Applications for the Hadamard fractional integrals are given.

@article{WOS:000335839800001,
abstract = {We present a weighted Montgomery identity for the fractional integral of
a function f with respect to another function g and use it to obtain
weighted Ostrowski type inequalities for fractional integrals involving
functions whose first derivatives belong to L (p) spaces. These
inequalities are generally sharp in case p > 1 and best possible in case
p = 1. Applications for the Hadamard fractional integrals are given.},
address = {GENTHINER STRASSE 13, D-10785 BERLIN, GERMANY},
author = {Aljinovic, Andrea Aglic and Krnic, Mario and Pecaric, Josip},
doi = {10.1515/gmj-2014-0001},
issn = {1072-947X},
journal = {GEORGIAN MATHEMATICAL JOURNAL},
keywords = {Fractional integral; Montgomery identity; Ostrowsk},
number = {1},
pages = {1--10},
publisher = {WALTER DE GRUYTER GMBH},
title = {{Weighted Montgomery identity for the fractional integral of a function with respect to another function}},
type = {Article},
volume = {21},
year = {2014}
}

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