47 citations · 61 across the 4 of their papers we have counts for
4 papers
Asymptotics of sharp constants of Markov-Bernstein inequalities in integral norm with Jacobi weight
A. I. Aptekarev, A. Draux, V. A. Kalyagin +1
The classical A. Markov inequality establishes a relation between the maximum modulus or the norm of a polynomial and of its derivative: $\|…
On a problem by Steklov
A. Aptekarev, S. Denisov, D. Tulyakov
We obtain the sharp estimates on the growth of the uniform norm of orthonormal polynomials for measures satisfying the Steklov condition. This improves the earlier results by Rakhm…
Renyi entropy of the infinite well potential in momentum space and Dirichlet-like trigonometric functionals
Alexander I. Aptekarev, Jesus S. Dehesa, Pablo Sánchez-Moreno +1
The momentum entropic moments and Rényi entropies of a one-dimensional particle in an infinite well potential are found by means of explicit calculations of some Dirichlet-like tri…
Asymptotics of -norms of Hermite polynomials and Rényi entropy of Rydberg oscillator states
Alexander I. Aptekarev, Jesús S. Dehesa, Pablo Sánchez-Moreno +1
The asymptotics of the weighted -norms of Hermite polynomials, which describes the Rényi entropy of order of the associated quantum oscillator probability density, is de…