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Certain m-Convexity Inequalities Related to Fractional Integrals with Exponential Kernels

DOI: 10.4236/oalib.1107388, PP. 1-10

Subject Areas: Numerical Mathematics, Mathematical Analysis

Keywords: Hermite-Hadamard Type Inequality, Fractional Integrals, m-Convex Mappings

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Abstract

In this paper, we establish some mid-point type and trapezoid type inequalities via a new class of fractional integral operators which is introduced by Ahmad et al. We derive a new fractional-type integral identity to obtain Dragomir-Agarwal inequality for m-convex mappings. Moreover, some inequalities of Hermite-Hadamard type for m-convex mappings are given related to fractional integrals with exponential kernels. The results presented provide extensions of those given in earlier works.

Cite this paper

Wang, H. and Wu, Z. (2021). Certain m-Convexity Inequalities Related to Fractional Integrals with Exponential Kernels. Open Access Library Journal, 8, e7388. doi: http://dx.doi.org/10.4236/oalib.1107388.

References

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