Geodesic
Hardy-Type Inequalities for an Extension of the Riemann-Liouville Fractional Derivative Operators
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 5, p. 797 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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In this paper we present variety of Hardy-type inequalities and their refinements for an extension of Riemann-Liouville fractional derivative operators. Moreover, we use an extension of extended Riemann-Liouville fractional derivative and modified extension of Riemann-Liouville fractional derivative using convex and monotone convex functions. Furthermore, mean value theorems and $n$-exponential convexity of the related functionals is discussed.
Classification : 26D15 26D10, 26A33
Keywords: inequalities, convex functions, Riemann-Liouville fractional derivative 
@article{KJM_2021_45_5_a10,
     author = {Sajid Iqbal and Ghulam Farid and Josip Pe\v{c}ari\'c and Artion Kashuri},
     title = {Hardy-Type {Inequalities} for an {Extension} of the {Riemann-Liouville} {Fractional} {Derivative} {Operators}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {797 },
     year = {2021},
     volume = {45},
     number = {5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2021_45_5_a10/}
}
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Sajid Iqbal; Ghulam Farid; Josip Pečarić; Artion Kashuri. Hardy-Type Inequalities for an Extension of the Riemann-Liouville Fractional Derivative Operators. Kragujevac Journal of Mathematics, Tome 45 (2021) no. 5, p. 797 . http://geodesic.mathdoc.fr/item/KJM_2021_45_5_a10/