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• W2899163979 startingPage "317" @default.
• W2899163979 abstract "In this article, we first introduced a new class of generalized $((h_{1},h_{2});(eta_{1},eta_{2}))$-convex mappings and two interesting lemmas regarding Gauss-Jacobi and Hermite-Hadamard type integral inequalities. By using the notion of generalized $((h_{1},h_{2});(eta_{1},eta_{2}))$-convexity and the first lemma as an auxiliary result, some new estimates with respect to Gauss-Jacobi type integral inequalities are established. Also, using the second lemma, some new estimates with respect to Hermite-Hadamard type integral inequalities via Caputo $k$-fractional derivatives are obtained. It is pointed out that some new special cases can be deduced from main results of the article." @default.
• W2899163979 created "2018-11-09" @default.
• W2899163979 creator A5007318507 @default.
• W2899163979 creator A5019939890 @default.
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• W2899163979 date "2018-12-25" @default.
• W2899163979 modified "2023-10-14" @default.
• W2899163979 title "Some new Gauss-Jacobi and Hermite-Hadamard type inequalities concerning $(n+1)$-differentiable generalized $((h_{1},h_{2});(eta_{1},eta_{2}))$-convex mappings" @default.
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• W2899163979 doi "https://doi.org/10.5556/j.tkjm.49.2018.2772" @default.
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