The stability problem of the Hermite-Hadamard inequality
نویسندگان
چکیده
منابع مشابه
The 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: Mathematical Inequalities & Applications
سال: 2007
ISSN: 1331-4343
DOI: 10.7153/mia-10-33