Geodesic
Some $k$-Fractional Integral Inequalities for $p$-Convex Functions
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 1, p. 25 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 use Riemann-Liouville $k$-fractional and $k$-fractional confomable integrals to prove Hermite-Hadamard inequality, an identity and Hermite-Hadamard type inequality for $p$-convex functions. Some special cases are also discussed. Our work is extensions of other related previous results.
Classification : 26A51, 26D07, 26D10, 26D15
Keywords: Hermite-Hadamard inequality, p-convex function, Riemann-Liouville k-fractional integrals, k-fractional conformable integrals 
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     author = {Naila Mehreen and Matloob Anwar},
     title = {Some $k${-Fractional} {Integral} {Inequalities} for $p${-Convex} {Functions}},
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Naila Mehreen; Matloob Anwar. Some $k$-Fractional Integral Inequalities for $p$-Convex Functions. Kragujevac Journal of Mathematics, Tome 48 (2024) no. 1, p. 25 . http://geodesic.mathdoc.fr/item/KJM_2024_48_1_a1/