@inbook{a47a8acd10d442e58961946229a1e53b,
title = "Weighted integral inequalities in terms of omega-fractional integro-differentiation",
abstract = "Some generalizations of fractional integro-differentiation operators containing a functional parameter \$\$\textbackslash{}omega \$\$ are introduced. These operators are used to get some new inequalities including \$\$\textbackslash{}omega \$\$ -weighted P{\'o}lya–Szeg{\"o} type inequalities, \$\$\textbackslash{}omega \$\$ -weighted Chebyshev-type integral inequalities, \$\$\textbackslash{}omega \$\$ -weighted Minkowskis reverse integral inequalities, \$\$\textbackslash{}omega \$\$ -weighted H{\"o}lder reverse integral inequalities, \$\$\textbackslash{}omega \$\$ -weighted integral inequalities for arithmetic and geometric means. The majority of the obtained inequalities becomes the classical or the well-known ones in some particular cases of the weights.",
keywords = "Fractional integro-differentiation, Integral inequalities, Weighted classes",
author = "P. Agarwal and Jerbashian, \{A. M.\} and Restrepo, \{J. E.\}",
note = "Publisher Copyright: {\textcopyright} 2018, Springer Nature Singapore Pte Ltd.",
year = "2018",
doi = "10.1007/978-981-13-3013-1\_10",
language = "English",
series = "Trends in Mathematics",
publisher = "Springer International Publishing",
pages = "199--217",
booktitle = "Trends in Mathematics",
address = "Switzerland",
}