52 citations · 130 across the 32 of their papers we have counts for
37 papers
On the log-concavity of the composite Bessel function
O. Kounchev, H. Render
For a twice differentiable function define It is well known that the posit…
Fast algorithms for interpolation with clamped -splines of order four
O. Kounchev, H. Render, G. Simeonov +1
Interpolation and smoothing using cubic and generalized splines are fundamental tools in data analysis and statistical modeling. Recently, fast computational algorithms were develo…
On the critical length conjecture for spherical Bessel functions in CAGD
Ognyan Kounchev, Hermann Render
A conjecture of J.M. Carnicer, E. Mainar and J.M. Peña states that the critical length of the space generated by the functions and fo…
Relation between Exponential Moment problem and Classical Moment problem
O. Kounchev, H. Render, Ts. Tsachev
The main result of the paper is an interesting relation between the solution of the truncated Exponential Moment problem and truncated Classical Moment problem, considered on the h…
Inequalities for exponential polynomials with applications to moment sequences
Ognyan Kounchev, Hermann Render, Tsvetomir Tsachev
Let be the unique solution of the differential operator such that …
Fischer decompositions for entire functions and the Dirichlet problem for parabolas
H. Render, J. M. Aldaz
Let be a homogeneous polynomial of degree and assume that there exist , and such that \begin{equation*} \left\langle P_{2k}f_{m},f_{m}\right\rangl…