T. Szostok

activity

20142023

most citedLevin Steckin theorem and inequalities of the Hermite-Hadamard type

7 citations · 9 across the 4 of their papers we have counts for

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Showing 2014Show all

2 papers · 1 filter

math.CA2014★ 1 cited

Inequalities of the Hermite-Hadamard type involving numerical differentiation formulas

Andrzej Olbryś, Tomasz Szostok

We observe that the Hermite-Hadamard inequality written in the form $f (\frac{x + y}{2}) \leq \frac{F ( y ) - F ( x )}{y - x} \leq \frac{f ( x ) + f ( y )}{2}$ may be viewed as an inequality b…

math.CA2014★ 7 cited

Levin Steckin theorem and inequalities of the Hermite-Hadamard type

Tomasz Szostok

Recently Ohlin lemma on convex stochastic ordering was used to obtain some inequalities of Hermite-Hadamard type. Continuing this idea, we use Levin-Stečkin result to determine all…