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LOCAL FRACTIONAL OSTROWSKI-TYPE INEQUALITIES FOR GENERALIZED s-φ-CONVEX FUNCTION ON FRACTAL SETS

Author

Listed:
  • YANRONG AN

    (School of Management, Nanjing University of Posts and Telecommunications, Nanjing 210003, P. R. China)

  • MUHAMMAD AAMIR ALI

    (��School of Mathematics, Hohai University, Nanjing 210098, P. R. China)

  • CHENCHEN XU

    (��School of Mathematics, Hohai University, Nanjing 210098, P. R. China)

  • WEI LIU

    (��School of Mathematics, Hohai University, Nanjing 210098, P. R. China)

  • FANGFANG SHI

    (��School of Mathematics, Hohai University, Nanjing 210098, P. R. China)

Abstract

The main aim of this paper is to present a class of Ostrowski-type inequalities for generalized s-φ-convex functions on fractal sets, which have important applications in mathematical modeling and analysis in fields where fractal structures are prevalent, such as in signal processing, image analysis, and complex systems. For this purpose, we first define the s-φ-convex function on fractal sets and discuss some of its interesting properties. Then, we derive a generalized integral identity for nth-order locally differentiable functions, and using it, we derive some new Ostrowski-type inequalities for generalized s-φ-convex functions in a local fractal operator environment. In addition, we further illustrate the accuracy of our results with some numerical examples.

Suggested Citation

  • Yanrong An & Muhammad Aamir Ali & Chenchen Xu & Wei Liu & Fangfang Shi, 2025. "LOCAL FRACTIONAL OSTROWSKI-TYPE INEQUALITIES FOR GENERALIZED s-φ-CONVEX FUNCTION ON FRACTAL SETS," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(01), pages 1-12.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:01:n:s0218348x25500203
    DOI: 10.1142/S0218348X25500203
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