分形空间上的新Hadamard型不等式及应用

摘要: 根据分形集上局部分数阶积分和第二种意义下广义s-凸函数的理论，建立了几个分形集ℝ^α（0 < α ≤ 1）上涉及局部分数积分的Hermite-Hadamard型不等式.最后，给出了所得不等式在数值积分误差估计中的应用.
- Hermite-Hadamard型不等式 /
- 广义s-凸函数 /
- 局部分数积分 /
- 局部分数阶导数 /
- 分形空间
Abstract: In the paper, using local fractional calculus theory and the theory of generalized s-convex function in the second sense on fractal sets, some new Hermite-Hadamard type inequalities involving local fractional integrals on fractal sets ℝ^α(0 < α ≤ 1) were established. Finally, some applications of these inequalities to some error estimates for numerical integration were given.
- Hermite-Hadamard type inequalities /
- generalized s-convex function /
- local fractional integral /
- local fractional derivative /
- fractal space

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参考文献(13)

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