New Upper Bounds for the Weighted Chebyshev Functional

Bakula, Milica Klaričić; Pečarić, Josip

doi:10.2478/amsil-2023-0030

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New Upper Bounds for the Weighted Chebyshev Functional

Annales Mathematicae Silesianae

Volume 38 (2024): Issue 1 (March 2024)

By: Milica Klaričić Bakula and Josip Pečarić

Open Access

|Jan 2024

Abstract

New upper bounds for the weighted Chebyshev functional under various conditions, including those of Steffensen type, are given. The obtained results are used to establish some new bounds for the Jensen functional.

References

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DOI: https://doi.org/10.2478/amsil-2023-0030 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 37 - 56

Submitted on: Aug 27, 2023

Accepted on: Dec 19, 2023

Published on: Jan 10, 2024

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Chebyshev inequality,

Jensen inequality,

Chebyshev functional,

Jensen functional,

Jensen–Steffensen inequality,

Ostrowski inequality

Related subjects:

Mathematics,

General mathematics

© 2024 Milica Klaričić Bakula, Josip Pečarić, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

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