New Hadamard-type inequalities on fractal space and their applications

SUN Wen-bing

doi:10.3969/j.issn.1000-5641.2017.06.003

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Nov. 2017

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SUN Wen-bing. New Hadamard-type inequalities on fractal space and their applications[J]. Journal of East China Normal University (Natural Sciences), 2017, (6): 33-41. doi: 10.3969/j.issn.1000-5641.2017.06.003

Citation:

SUN Wen-bing. New Hadamard-type inequalities on fractal space and their applications[J]. Journal of East China Normal University (Natural Sciences), 2017, (6): 33-41. doi: 10.3969/j.issn.1000-5641.2017.06.003

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New Hadamard-type inequalities on fractal space and their applications

doi: 10.3969/j.issn.1000-5641.2017.06.003

SUN Wen-bing

College of Science, Shaoyang University, Shaoyang Hunan 422000, China

Received Date: 2016-11-17
Publish Date: 2017-11-25

Abstract

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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References(13)

References

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