O. Kounchev

activity

20122026

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math.CA2026

On the log-concavity of the composite Bessel function $x^{α} J_{ν} (β x^{γ})$

O. Kounchev, H. Render

For a twice differentiable function $f : (a, b) \to R$ define $v (f) = f^{'} f^{'} - f^{''} f .$ It is well known that the posit…

math.CA2025

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 $P_{n} ⊙ C_{1}$ generated by the functions $x^{k} sin x$ and $x^{k} cos x$ fo…

math.CA2024

Inequalities for exponential polynomials with applications to moment sequences

Ognyan Kounchev, Hermann Render, Tsvetomir Tsachev

Let $Φ_{Λ_{n}}$ be the unique solution of the differential operator $L = \prod_{j = 0}^{n} (\frac{d}{d x} - λ_{j})$ such that $Φ_{Λ_{n}}^{(j)} (0) = 0$ …

On the log-concavity of the composite Bessel function xαJν​(βxγ)

On the critical length conjecture for spherical Bessel functions in CAGD

Inequalities for exponential polynomials with applications to moment sequences

On the log-concavity of the composite Bessel function $x^{α} J_{ν} (β x^{γ})$