Evidence map›Paper›PMID 41686837›Full record

ArticlePloS one2026

Numerous inequalities and related communications accompanying discrete divergence models in probability spaces.

Vikramjeet Singh, Sunil Kumar Sharma, Om Parkash, Mona Bin-Asfour

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Article in PloS one, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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1 · What the graph read from it

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2 · The registry

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4 · The record

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5 · Who and what money

Authors and funding

4 authors.

Vikramjeet SinghDepartment of Mathematics, I. K. Gujral Punjab Technical University, Amritsar Campus, Amritsar, Punjab, India.ORCID https://orcid.org/0000-0003-0287-7554
Sunil Kumar SharmaDepartment of Information Systems, College of Computer and Information Sciences, Majmaah University, Majmaah, Saudi Arabia.ORCID https://orcid.org/0000-0002-1732-2677
Om ParkashDepartment of Mathematics, Graphic Era Deemed to be University, Dehradun, Uttarakhand, India.
Mona Bin-AsfourDeparment of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh, Saudi Arabia.ORCID https://orcid.org/0009-0001-4088-6606

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

The analysis of inequalities aids in the formulation of optimal coding schemes that improve the rate of information transfer while reducing the probability of errors. This consequently implies that we have a major impact on having solid and secured correspondence systems for applications running from broadcast communications to information pressure. Information theory inequalities constitute a theoretical toolbox for designing channels that can overcome a challenging environment, allowing information to be held and communicated reliably and securely in a world that is becoming ever more interconnected. The paper introduces a general divergence model in general probability spaces and extends known information-theoretic inequalities and results based on variational models. We have built various inequalities for finite sequences of positive real numbers, the specific cases of which are important in information theory, especially in connection with several divergence models that remain in the literature. Additionally, we have derived certain other important communications concerning positive real numbers in relation to some divergence models.

Indexed as

CommunicationInformation TheoryModels, TheoreticalProbability

Identifiers

PMID41686837
PMCPMC12904446

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.