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PreprintCC BY 4.0arXiv

Jensen-type inequalities on pairs of measure spaces and their applications

  • Shankhadeep Mondal
  • P. D. Johnson
  • R. N. Mohapatra
  • David Guinovart
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Abstract

We develop applications of a Jensen-type inequality for pairs of positive measure spaces. The framework yields Lp and operator inequalities for positive integral operators, norm and entropy estimates for Fejér means, and probabilistic moment and variance bounds. We also obtain robustness estimates under random and deterministic erasures. These results provide a unified connection between Jensen-type inequalities, harmonic analysis, operator theory, probability, and robust reconstruction.

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Cite

BibTeXRIS
BibTeX
@misc{mondal2026jensentype,
  title = {{Jensen-type inequalities on pairs of measure spaces and their applications}},
  author = {Shankhadeep Mondal and P. D. Johnson and R. N. Mohapatra and David Guinovart},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.14359},
  eprint = {2609.14359},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.14359},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Jensen-type inequalities on pairs of measure spaces and their applications
AU  - Shankhadeep Mondal
AU  - P. D. Johnson
AU  - R. N. Mohapatra
AU  - David Guinovart
PY  - 2026
DA  - 2026/09/13
PB  - arXiv
DO  - 10.48550/arxiv.2609.14359
UR  - https://arxiv.org/abs/2609.14359
AB  - We develop applications of a Jensen-type inequality for pairs of positive measure spaces. The framework yields L^p and operator inequalities for positive integral operators, norm and entropy estimates for Fejér means, and probabilistic moment and variance bounds. We also obtain robustness estimates under random and deterministic erasures. These results provide a unified connection between Jensen-type inequalities, harmonic analysis, operator theory, probability, and robust reconstruction.
ER  -