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Some New Parametrized Inequalities On Fractal Set

Author

Listed:
  • HONGYAN XU

    (School of Arts and Sciences, Suqian University, Suqian, Jiangsu 223800, P. R. China†School of Mathematics and Computer Science, Gannan Normal University, Ganzhou, Jiangxi 341000, P. R. China)

  • ABDELGHANI LAKHDARI

    (��Department CPST, National Higher School of Technology and Engineering, Annaba 23005, Algeria)

  • WEDAD SALEH

    (�Department of Mathematics, Taibah University, Al-Medina, Saudi Arabia)

  • BADREDDINE MEFTAH

    (�Laboratory of Analysis and Control of Differential Equations, Faculty MISM, Department of Mathematics, University of 8 May 1945 Guelma, P. O. Box 401, 24000 Guelma, Algeria)

Abstract

The aim of this study is to examine certain open three-point Newton–Cotes-type inequalities for differentiable generalized s-convex functions on a fractal set. To begin, we introduce a novel parametrized identity involving the relevant formula, which yields various new findings as well as previously established ones. Finally, an example is given to demonstrate the accuracy of the new results and their graphical depiction. Moreover, we emphasize the applications of the results obtained.

Suggested Citation

  • Hongyan Xu & Abdelghani Lakhdari & Wedad Saleh & Badreddine Meftah, 2024. "Some New Parametrized Inequalities On Fractal Set," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(03), pages 1-14.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:03:n:s0218348x24500634
    DOI: 10.1142/S0218348X24500634
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