Maclaurin’s inequalities for functions whose first derivatives are preinvex

https://doi.org/10.48185/jmam.v3i2.449

Authors

  • Badreddine Meftah University 8 mai 1945 Guelma, Algeria
  • Nouha Allel Département des Mathématiques, Faculté des mathématiques, de l'informatique et des sciences de la matière, Université 8 mai 1945 Guelma, Algeria

Keywords:

Maclaurin's inequality, preinvex functions, Hölder inequality, power mean inequality

Abstract

In this paper, using a new identity, we study one of the famous Newton-Cotes three-point quadrature
rules. More precisely Maclaurin’s quadrature rule, for which we establish the error estimate of this method
under the constraint that the first derivatives belong to the class of preinvex functions. We also give some
applications to special means as applications. We believe that this new studied inequality and the results
obtained in this article will further inspire intrigued researchers.

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Published

2022-11-26

How to Cite

Meftah, B., & Allel, N. (2022). Maclaurin’s inequalities for functions whose first derivatives are preinvex. Journal of Mathematical Analysis and Modeling, 3(2), 52–64. https://doi.org/10.48185/jmam.v3i2.449

Issue

Vol. 3 No. 2 (2022): 2022 (2)

Section

Articles
Copyright & Licensing

Copyright (c) 2022 Badreddine Meftah, Nouha Allel

Creative Commons License

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