Abstract A weighted companion of Ostrowski type inequality is established. Some sharp inequalities are proved. Application to a quadrature rule is provided.

中文翻译：

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用于有界变异映射的 Ostrowski 积分不等式的加权伴随的推广

摘要 建立了Ostrowski型不等式的加权伴随。证明了一些尖锐的不等式。提供了对正交规则的应用。