About the B-concavity of functions with many variables

Alexandra Diana Meleşteu

doi:10.2478/auom-2023-0010

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About the B-concavity of functions with many variables

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 31 (2023): Issue 1 (January 2023)

By: Alexandra Diana Meleşteu

Open Access

|Feb 2023

Abstract

The paper deals with the study of the property of B-concavity and BB concavity in the bi-dimesional case and with the relation between these properties and the Bernstein operators defined on a simplex.

References

[1] G. Adilov, A. M. Rubinov, B-convex sets and functions, Numerical Functional Analysis and Optimization, 27, (2006), no.3-4, 237-257.
Search in Google Scholar Back to article
[2] G. Adilov, I. Yesilce, Some important properties of B-convex function. Journal of Nonlinear and Convex Analysis, 19, (2018), no.4, 669680.
Search in Google Scholar Back to article
[3] W. Briec, C. Horvath B-convexity, Optimization, 53, (2004), no.2, 103-127.
Search in Google Scholar Back to article
[4] R. Păltănea, The preservation of the property of quasiconvexity of higher order by Bernstein’s operators, Revue d‘Analyse Numerique et de Theorie de l‘ Approximation, 25, (1996), no.1-2, 195-201.
Search in Google Scholar Back to article
[5] T.Popoviciu, Sur l’approximation des fonctions convexes d’ordre superieur, Mathematica (Cluj) 10, (1935), 49-54.
Search in Google Scholar Back to article
[6] T.Tunc, M.Uzun On the preservation of the B-Convexity and B-Concavity of functions by Bernstein Operators, Journal of Contemporary Applied Mathematics, 10, (2020), no.2, 77-83.
Search in Google Scholar Back to article

Articles in this issue

DOI: https://doi.org/10.2478/auom-2023-0010 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 199 - 206

Submitted on: Feb 12, 2022

Accepted on: Jul 3, 2022

Published on: Feb 4, 2023

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

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© 2023 Alexandra Diana Meleşteu, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 31 (2023): Issue 1 (January 2023)