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Parameterized Simpson-like inequalities for differential s-convex functions

  • Lilia Mahmoudi and Badreddine Meftah ORCID logo EMAIL logo
Published/Copyright: September 30, 2022

Abstract

In this paper, we first prove a new parameterized identity that generates a quadrature rule family similar to Simpson’s second formula, and then we establish some new Simpson-like type inequalities for functions whose first derivatives are s-convex in the second sense, from which we can deduce the famous 3 8 -Simpson inequality. We end the article with some applications.

MSC 2010: 26D10; 26D15; 26A51

References

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Received: 2022-05-06
Revised: 2022-07-31
Accepted: 2022-08-15
Published Online: 2022-09-30
Published in Print: 2023-02-01

© 2022 Walter de Gruyter GmbH, Berlin/Boston

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