Work

Positive Linear Operators and Entropies

Year: 2025

Type: article

Abstract: The study of positive linear operators is closely linked to the study of probability distributions. In this paper, we investigate the relationship between classical positive linear operators, commonly used in Approximation Theory, and the entropies associated with probability distributions. These entropies are special functions, particularly Heun functions, convex functions, and logarithmically convex functions, that satisfy specific equalities and inequalities, for which various bounds can be established. These properties are important for a wide range of applications. Our paper is a (non-exhaustive) survey. We present results without proofs, but with detailed bibliographic references.

Source: Approximation Theory and Special Functions

DOI: 10.65135/atsf.2025.3

Authors: Ana Maria Acu, Ioan Rasa

Institutions: Lucian Blaga University of Sibiu, Technical University of Cluj-Napoca

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4415253789

FWCI:

Cites: 34

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