Geodesic
Several new integral inequalities via $k$-Riemann--Liouville fractional integrals operators
Problemy analiza, Tome 10 (2021) no. 1, pp. 3-22

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The main objective of this paper is to establish several new integral inequalities including $k$-Riemann–Liouville fractional integrals for convex, $s$-Godunova–Levin convex functions, quasi-convex, $\eta$-quasi-convex. In order to obtain our results, we have used classical inequalities as Hölder inequality, Power mean inequality and Weighted Hölder inequality. We also give some applications.
Keywords: $s$-Godunova–Levin type, $k$-Riemann–Liouville fractional integral, Hölder inequality, weighted Hölder inequality, power mean inequality.
Mots-clés : $\eta$-quasi-convex 
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     title = {Several new integral inequalities via $k${-Riemann--Liouville} fractional integrals operators},
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     url = {http://geodesic.mathdoc.fr/item/PA_2021_10_1_a0/}
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S. I. Butt; B. Bayraktar; M. Umar. Several new integral inequalities via $k$-Riemann--Liouville fractional integrals operators. Problemy analiza, Tome 10 (2021) no. 1, pp. 3-22. http://geodesic.mathdoc.fr/item/PA_2021_10_1_a0/