Discrete Stein-Weiss inequalities

This article concerns the discrete Stein-Weiss inequalities with finite terms and with infinite terms. Such inequalities can be used to study the discrete Coulomb energy, nonlinear problems appearing the crystal lattice theory and graphs in neural networks. We give the limit relations between their best constants and between their extremal sequences. In addition, we obtained analogous conclusions for the reversed discrete Stein-Weiss inequality. For more information see https://ejde.math.txstate.edu/Volumes/2025/28/abstr.html