<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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<italic>/</italic>8-Simpson’s inequality. The study concludes with an application example from management science.</p>
</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.

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

Laboratoire de Recherches et des Etudes Economiques

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution 4.0 International License.

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...

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

Published Online: Jun 09, 2023

Page range: 79 - 91

Received: Mar 18, 2023

Accepted: Apr 26, 2023

DOI: https://doi.org/10.2478/jamsi-2023-0005

Keywords
Simpson inequality, Newton-Cotes quadrature, bounded functions, Lipschitzian functions

© 2023 N. Boutelhig et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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

Published Online: Jun 09, 2023

Page range: 79 - 91

Received: Mar 18, 2023

Accepted: Apr 26, 2023

DOI: https://doi.org/10.2478/jamsi-2023-0005

KeywordsSimpson inequality, Newton-Cotes quadrature, bounded functions, Lipschitzian functions

© 2023 N. Boutelhig et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Simpson inequality, Newton-Cotes quadrature, bounded functions, Lipschitzian functions