Using the generalized Erdélyi-Kober fractional integrals, an attempt is made to establish certain new fractional integral inequalities, related to the weighted version of the Chebyshev functional. The results given earlier by Purohit and Raina (2013) and Dahmani et al. (2011) are special cases of results obtained in present paper.
@article{bwmeta1.element.doi-10_1515_math-2016-0007, author = {Dumitru Baleanu and Sunil Dutt Purohit and Jyotindra C. Prajapati}, title = {Integral inequalities involving generalized Erd\'elyi-Kober fractional integral operators}, journal = {Open Mathematics}, volume = {14}, year = {2016}, pages = {89-99}, zbl = {1347.26017}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2016-0007} }
Dumitru Baleanu; Sunil Dutt Purohit; Jyotindra C. Prajapati. Integral inequalities involving generalized Erdélyi-Kober fractional integral operators. Open Mathematics, Tome 14 (2016) pp. 89-99. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2016-0007/