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Weighted CKP Inequalities Involving R\'enyi Divergence Powers

Probability 2025-10-31 v1

Abstract

Pinsker-type inequalities are considered for the weighted total variation distance between probability measures in terms of the R\'enyi divergence powers. They are applied in derivation of transport-entropy inequalities under moment-type conditions.

Keywords

Cite

@article{arxiv.2510.26002,
  title  = {Weighted CKP Inequalities Involving R\'enyi Divergence Powers},
  author = {Sergey G. Bobkov and Devraj Duggal},
  journal= {arXiv preprint arXiv:2510.26002},
  year   = {2025}
}