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- W2110488052 abstract "Using the Ohlin lemma on convex stochastic ordering we prove inequalities of the Hermite–Hadamard type. Namely, we determine all numbers $${a,alpha,betain[0,1]}$$ such that for all convex functions f the inequality $$af(alpha x+(1-alpha )y)+(1-a)f(beta x+(1-beta) y)leq frac{1}{y-x} intlimits_{x}^yf(t)dt$$ is satisfied and all $${a,b,c,alphain(0,1)}$$ with a + b + c = 1 for which we have $$af(x)+bf(alpha x+(1-alpha)y)+cf(y)geqfrac{1}{y-x} intlimits_{x}^yf(t)dt$$ ." @default.
- W2110488052 created "2016-06-24" @default.
- W2110488052 creator A5052177694 @default.
- W2110488052 date "2014-08-06" @default.
- W2110488052 modified "2023-10-07" @default.
- W2110488052 title "Ohlin’s lemma and some inequalities of the Hermite–Hadamard type" @default.
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- W2110488052 doi "https://doi.org/10.1007/s00010-014-0286-2" @default.
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