The Discrete \(L_p\) Minkowski Problem for Log-Concave Functions in \({\mathbb {R}}\)

In this paper, we study the necessary and sufficient conditions for the existence of solutions to the discrete \(L_p\) $L_p$ Minkowski problem of log-concave functions in \({\mathbb {R}}\) $\mathbb{R}$ when \(p\ge 1\) $p\ge 1$ .