The aim of this paper is to study $ h $ convex functions and present some inequalities of Caputo-Fabrizio fractional operator. Precisely speaking, we presented Hermite-Hadamard type inequality via $ h $ convex function involving Caputo-Fabrizio fractional operator. We also presented some new inequalities for the class of $ h $ convex functions. Moreover, we also presented some applications of our results in special means which play a significant role in applied and pure mathematics, especially the accuracy of a results can be confirmed by through special means.
Citation: Lanxin Chen, Junxian Zhang, Muhammad Shoaib Saleem, Imran Ahmed, Shumaila Waheed, Lishuang Pan. Fractional integral inequalities for $ h $-convex functions via Caputo-Fabrizio operator[J]. AIMS Mathematics, 2021, 6(6): 6377-6389. doi: 10.3934/math.2021374
The aim of this paper is to study $ h $ convex functions and present some inequalities of Caputo-Fabrizio fractional operator. Precisely speaking, we presented Hermite-Hadamard type inequality via $ h $ convex function involving Caputo-Fabrizio fractional operator. We also presented some new inequalities for the class of $ h $ convex functions. Moreover, we also presented some applications of our results in special means which play a significant role in applied and pure mathematics, especially the accuracy of a results can be confirmed by through special means.
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Lanxin Chen, Junxian Zhang, Muhammad Shoaib Saleem, Imran Ahmed, Shumaila Waheed, Lishuang Pan. Fractional integral inequalities for $ h $-convex functions via Caputo-Fabrizio operator[J]. AIMS Mathematics, 2021, 6(6): 6377-6389. doi: 10.3934/math.2021374
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