3 citations · 4 across the 7 of their papers we have counts for
7 papers
Positive linear maps and eigenvalue estimates for nonnegative matrices
R. Sharma, M. Pal, A. Sharma
We show how positive unital linear maps can be used to obtain some bounds for the eigenvalues of nonnegative matrices.
A note on variance bounds and location of eigenvalues
R. Sharma, A. Sharma, R. Saini
We discuss some extensions and refinements of the variance bounds for both real and complex numbers. The related bounds for the eigenvalues and spread of a matrix are also derived…
Remark On Variance Bounds
R. Sharma
It is shown that the formula for the variance of combined series yields surprisingly simple proofs of some well known variance bounds.
Means Moments and Newton's Inequalities
R. Sharma, A. Sharma, R. Saini +1
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 ineq…
Some generalisations of the inequalities for positive linear maps
R. Sharma, P. Devi, R. kumari
We obtain generalisations of some inequalities for positive unital linear maps on matrix algebra. This also provides several positive semidefinite matrices and we get some old and…
Complementary upper bounds for fourth central moment with extensions and applications
R. Sharma, R. Kumar, R. Saini +1
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. Bou…
Note on Bounds for Eigenvalues using Traces
R. Sharma, R. Kumar, R. Saini
We show that various old and new bounds involving eigenvalues of a complex n x n matrix are immediate consequences of the inequalities involving variance of real and complex number…