Parameterized Simpson-like inequalities for differentiable Bounded and Lipschitzian functions with application example from management science

N. Boutelhig; B. Meftah; W. Saleh; A. Lakhdari

doi:10.2478/jamsi-2023-0005

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Parameterized Simpson-like inequalities for differentiable Bounded and Lipschitzian functions with application example from management science

Journal of Applied Mathematics, Statistics and Informatics

Volume 19 (2023): Issue 1 (May 2023)

By: N. Boutelhig, B. Meftah, W. Saleh and A. Lakhdari

Open Access

|Jun 2023

Abstract

In this paper, based on a given parameterized identity that generates a quadrature rule family similar to Simpson’s second formula, we establish some new Simpson-like type inequalities for functions with bounded as well as Lipchitzian derivatives from which we can deduce the famous 3/8-Simpson’s inequality. The study concludes with an application example from management science.

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Articles in this issue

DOI: https://doi.org/10.2478/jamsi-2023-0005 | Journal eISSN: 1339-0015 | Journal ISSN: 1336-9180

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Language: English

Page range: 79 - 91

Submitted on: Mar 18, 2023

Accepted on: Apr 26, 2023

Published on: Jun 9, 2023

Published by: University of Ss. Cyril and Methodius in Trnava

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Simpson inequality,

Newton-Cotes quadrature,

bounded functions,

Lipschitzian functions

Related subjects:

Computer sciences,

Information technology,

Mathematics,

Logic and set theory,

Probability and statistics,

Applied mathematics

© 2023 N. Boutelhig, B. Meftah, W. Saleh, A. Lakhdari, published by University of Ss. Cyril and Methodius in Trnava
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 19 (2023): Issue 1 (May 2023)