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A Refinement of Grüss Inequality via Cauchy-Schwarz’s Inequality for Discrete Random Variables |
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PP: 39-45 |
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Author(s) |
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Nicuşor Minculete,
Augusta Rațiu,
Josip Pečarić,
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Abstract |
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| If X and Y are discrete random variables in finite case, then using the inequality of Cauchy-Schwarz, we will obtain another
inequality expressed by the variance and covariance. The aim of this paper is to obtain a new refinement of discrete version of Gr¨uss
inequality. In the final we show that we can structure the set of random variables with equal probabilities as a Hilbert space and as a
seminormed vector space. |
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