Discrete Hermite-Hadamard inequality and its applications
نویسندگان
چکیده
منابع مشابه
On generalized Hermite-Hadamard inequality for generalized convex function
In this paper, a new inequality for generalized convex functions which is related to the left side of generalized Hermite-Hadamard type inequality is obtained. Some applications for some generalized special means are also given.
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In this paper, we present a weighted version of the Hermite–Hadamard inequality for convex functions on time scales, with weights that are allowed to take some negative values, these are the Steffensen–Popoviciu and the Hermite–Hadamard weights. We also present some applications of this inequality.
متن کاملThe Equivalence of Chebyshev’s Inequality to the Hermite-hadamard Inequality
equality holds in either side only for the affine functions (i.e., for the functions of the form mx+ n). The middle point (a + b)/2 represents the barycenter of the probability measure 1 b−adx (viewed as a mass distribution over the interval [a, b]), while a and b represent the extreme points of [a, b]. Thus the Hermite-Hadamard inequality could be seen as a precursor of Choquet’s theory. See [...
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ژورنال
عنوان ژورنال: Applicable Analysis and Discrete Mathematics
سال: 2016
ISSN: 1452-8630,2406-100X
DOI: 10.2298/aadm160617013a