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New Generalized Ostrowski-Type Fractional Integral Inequalities

In: Geometry and Non-Convex Optimization

Author

Listed:
  • Jichang Kuang

    (Hunan Normal University)

  • Michael Th. Rassias

    (Hellenic Military Academy
    Moscow Institute of Physics and Technology
    Program in Interdisciplinary Studies)

Abstract

We introduce new generalized exponentially strongly convex functions. We establish some new generalized Ostrowski-type inequalities for fractional integrals via generalized exponentially strongly convex functions. Through different selections of these parameters in this new class of convex functions, some important special cases in the above inequalities are given. The corresponding inequalities for different exponential-type convex functions are also obtained.

Suggested Citation

  • Jichang Kuang & Michael Th. Rassias, 2025. "New Generalized Ostrowski-Type Fractional Integral Inequalities," Springer Optimization and Its Applications, in: Panos M. Pardalos & Themistocles M. Rassias (ed.), Geometry and Non-Convex Optimization, pages 203-236, Springer.
  • Handle: RePEc:spr:spochp:978-3-031-87057-6_8
    DOI: 10.1007/978-3-031-87057-6_8
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