APPROXIMATE CONVEX FUNCTIONS WITH THE HERMITE-HADAMARD INEQUALITY

Kazimierz Nikodem

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APPROXIMATE CONVEX FUNCTIONS WITH THE HERMITE-HADAMARD INEQUALITY

机译：具有Hermite-Hadamard不等式的近似凸函数

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This is joint work with T. Riedeland and P.K. Sahoo By the classical Hyers-Ulam theorem it is known that if a function f : I → R is e-convex, that is f(tx + (1 - t)y) ≤ tf(x) + (1 - t)f(y) + ∈, x,y ∈ I, t ∈ [0,1], then there exists a convex function g

机译：这是与T. Riedeland和P.K. Sahoo由经典的Hyers-Ulam定理可知，如果函数f：I→R是e凸的，则f（tx +（1- t）y）≤tf（x）+（1- t）f （y）+∈，x，y∈I，t∈[0,1]，则存在一个凸函数g

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《Real analysis exchange》 |2007年第report期|p.33|共1页
作者
Kazimierz Nikodem;
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作者单位

Department of Mathematics, University of Bielsko-Biala, Willowa 2, PL-43-309 Bielsko-Biala, Poland;

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正文语种 eng
中图分类应用数学;
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APPROXIMATE CONVEX FUNCTIONS WITH THE HERMITE-HADAMARD INEQUALITY

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