平面两凸域的Bonnesen型对称混合不等式
摘要
investigate the symmetric mixed isoperimetric deficit Δ<sub>2</sub>(<italic>K</italic><sub>0</sub>,<italic>K</italic><sub>1</sub>) of domains <italic>K</italic><sub>0</sub> and <italic>K</italic><sub>1</sub> in the Euclidean plane <italic>R</italic><sup>2</sup> via the known kinematic formulas of Poincaré and Blaschke in integral geometry. Then we obtain symmetric mixed isoperimetric inequality and some Bonnesen-style symmetric mixed inequalities. One of those inequalities strengthens Kotlyar's inequality. Finally, we obtain some reverse Bonnesen-style symmetric mixed inequalities that generalize the known Bottema's result.
引用本文（GB/T 7714）
BaoCheng ZHU, PengFu WANG, Jiazu Zhou, 等. 平面两凸域的Bonnesen型对称混合不等式[J]. Scientia Sinica Mathematica, 2015.
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