淡江大學機構典藏:Item 987654321/121940
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/121940


    Title: Some Extended Simpson-type Inequalities and Applications
    Authors: Hsu, Kai-Chen;Hwang, Shiow-Ru;Tseng, Kuei-Lin
    Keywords: Hermite-Hadamard inequality;‎Simpson inequality;‎midpoint‎ ‎inequality‎;trapezoid inequality‎;‎convex function;‎concave functions;‎special means‎;‎quadrature rules‎
    Date: 2017-04-30
    Issue Date: 2022-01-13 12:13:42 (UTC+8)
    Abstract: ‎In this paper‎, ‎we shall establish some extended Simpson-type inequalities‎ ‎for differentiable convex functions and differentiable concave functions‎ ‎which are connected with Hermite-Hadamard inequality‎. ‎Some error estimates‎ ‎for the midpoint‎, ‎trapezoidal and Simpson formula are also given‎.
    Relation: Bull. Iran. Math. Soc. 43(2), p.409-425
    Appears in Collections:[Graduate Institute & Department of Statistics] Journal Article

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