Some Generalized Inequalities via (s, m) -Convexity and their Applications

Authors

  • Zarghona Spasely Associate Professor, Faculty of Mathematics, Kabul University, Kabul, Afghanistan
  • Manizha Sarhang Associate Professor, Faculty of Mathematics, Kabul University, Kabul, Afghanistan

DOI:

https://doi.org/10.32996/jmss.2025.6.2.1

Keywords:

Convex functions; (s,m)-convex functions; Bullen type inequality; Simpson type inequality.

Abstract

The main objective of this study is to formulate novel inequalities of the trapezoidal, mid-point, and Simpson types in connection with  an  extension of the Bullen-type inequality using the concept of (s,m)-convexity. Additionally, the investigation includes the exploration of particular cases and the application of these derived inequalities to some special means.

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Published

2025-04-06

Issue

Vol. 6 No. 2

Section

Research Article

License

Creative Commons License

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

How to Cite

Zarghona Spasely, & Manizha Sarhang. (2025). Some Generalized Inequalities via (s, m) -Convexity and their Applications. Journal of Mathematics and Statistics Studies, 6(2), 01-17. https://doi.org/10.32996/jmss.2025.6.2.1