52 citations · 224 across the 33 of their papers we have counts for
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A refinement of the inequality between arithmetic and geometric means
J. M. Aldaz
In this note we present a refinement of the AM-GM inequality, and then we estimate in a special case the typical size of the improvement.
Concentration of the ratio between the geometric and arithmetic means
J. M. Aldaz
We explore the concentration properties of the ratio between the geometric mean and the arithmetic mean, showing that for certain sequences of weights one does obtain concentration…
Selfimprovemvent of the inequality between arithmetic and geometric means
J. M. Aldaz
We present a refinement, by selfimprovement, of the arithmetic geometric inequality.
Bernstein operators for exponential polynomials
J. M. Aldaz, O. Kounchev, H. Render
Let be a linear differential operator with constant coefficients of order and complex eigenvalues . Assume that the set of all solutions of the equ…
Bernstein Operators for Extended Chebyshev Systems
J. M. Aldaz, O. Kounchev, H. Render
Let be an extended Chebyshev space of dimension . Suppose that is strictly positive and has the property that $…
Shape preserving properties of generalized Bernstein operators on Extended Chebyshev spaces
J. M. Aldaz, O. Kounchev, H. Render
We study the existence and shape preserving properties of a generalized Bernstein operator fixing a strictly positive function , and a second function such t…