Tight entropy bound based on p-quasinorms
<|reference_start|>Tight entropy bound based on p-quasinorms: In the present paper we prove a family of tight upper and lower bounds for the Shannon entropy and von Neumann entropy based on the p-norms. This allows us to have an entropy estimate, a criterion for the finiteness of it and a bound on the difference of entropy, additionally, we did some numerical tests that show the efficiency of our approximations.<|reference_end|>
@article{lopez2024tight,
    title={Tight entropy bound based on p-quasinorms},
    author={Juan Pablo Lopez},
    journal={arXiv preprint arXiv:2408.11154},
    year={2024},
    archivePrefix={arXiv},
    eprint={2408.11154},
    primaryClass={cs.IT math.IT}
}