## Generalizations of Cauchy-Schwarz inequality in unitary spaces.(English)Zbl 1372.26021

Summary: In this paper, we give a generalization of Cauchy-Schwarz inequality in unitary spaces and obtain its integral analogs. As an application, we establish an inequality for covariances.

### MSC:

 26D15 Inequalities for sums, series and integrals 62J10 Analysis of variance and covariance (ANOVA)

### Keywords:

Cauchy-Schwarz inequality; unitary space; positive measure
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### References:

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