arXiv subjects

G. Kapoor

Publications and source records attributed to G. Kapoor.

2 recordsLinked to original sources

arXiv2017

Means Moments and Newton's Inequalities

It is shown that Newton's inequalities and the related Maclaurin's inequalities provide several refinements of the fundamental Arithmetic mean - Geometric mean - Harmonic mean inequality in terms of the means and variance of positive real numbers. We also obtain some inequalities involving third and fourth central moments of real numbers.

math.ST↗

arXiv2015

Complementary upper bounds for fourth central moment with extensions and applications

We prove some inequalities involving fourth central moment of a random variable that takes values in a given finite interval. Both discrete and continuous cases are considered. Bounds for the spread are obtained when a given nxn complex matrix has real eigenvalues. Likewise, we discuss bounds for the spans of polynomial equations.

math.ST↗