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 Rα(0 < α ≤ 1) were established. Finally, some applications of these inequalities to some error estimates for numerical integration were given.
SUN Wen-bing
. New Hadamard-type inequalities on fractal space and their applications[J]. Journal of East China Normal University(Natural Science), 2017
, 2017(6)
: 33
-41
.
DOI: 10.3969/j.issn.1000-5641.2017.06.003
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