有界变差函数的几个不等式及其对Landau型结果的应用
Some Inequalities for Functions of Bounded Variation with Applications to Landau Type Results
摘要:
建立了有界变差函数的几个不等式,它们提供了积分平均与p-模之间不等式的逆。著名的朗道不等式之间的一个函数的导数的规范的应用也指出。
英文摘要:
Some inequalities for functions of bounded variation that provide reverses for the inequality between the integral mean and the p-norm are established. Applications related to the celebrated Landau inequality between the norms of the derivatives of a function are also pointed out.
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