论文标题
量子积分运算符的平均值定理,并应用于尖锐的ostrowski不等式
Mean value theorem for quantum integral operator with application to sharp Ostrowski inequality
论文作者
论文摘要
我们得出了量子微积分的Lagrange平均值定理的版本。我们为文献中出现的量子微积分解释了Ostrowski不平等的版本。我们得出正确的陈述,并证明我们的新不平等是敏锐的。我们也得出了中点不等式。
We derive a version of Lagrange's mean value theorem for quantum calculus. We disprove a version of Ostrowski inequality for quantum calculus appearing in the literature. We derive a correct statement and prove that our new inequality is sharp. We also derive a midpoint inequality.