Geodesic
Inequalities involving fractional integrals of a function and its derivative
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Mathematical physics, Tome 140 (2017), pp. 68-77

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New inequalities for fractional integrals of a function and its derivative are proved. Lower estimates of weighted norms of the derivative through fractional Riemann–Liouville integrals are obtained.
Keywords: Hardy inequality, fractional Riemann–Liouville integral, Bessel function. 
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     author = {R. G. Nasibullin},
     title = {Inequalities involving fractional integrals of a function and its derivative},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {68--77},
     publisher = {mathdoc},
     volume = {140},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2017_140_a5/}
}
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R. G. Nasibullin. Inequalities involving fractional integrals of a function and its derivative. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Mathematical physics, Tome 140 (2017), pp. 68-77. http://geodesic.mathdoc.fr/item/INTO_2017_140_a5/