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Relative Strongly Exponentially Convex Functions

In: Nonlinear Analysis and Global Optimization

Author

Listed:
  • Muhammad Aslam Noor

    (COMSATS University Islamabad)

  • Khalida Inayat Noor

    (COMSATS University Islamabad)

  • Themistocles M. Rassias

    (National Technical University of Athens)

Abstract

In this paper, we define and consider some new concepts of the strongly exponentially convex functions involving an arbitrary negative bifunction. Some properties of these strongly exponentially convex functions are investigated under suitable conditions. It is shown that the difference of strongly exponentially convex functions and strongly exponentially affine functions is again an exponentially convex function. Results obtained in this paper can be viewed as refinement and improvement of previously known results

Suggested Citation

  • Muhammad Aslam Noor & Khalida Inayat Noor & Themistocles M. Rassias, 2021. "Relative Strongly Exponentially Convex Functions," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Panos M. Pardalos (ed.), Nonlinear Analysis and Global Optimization, pages 357-371, Springer.
    • Handle: RePEc:spr:spochp:978-3-030-61732-5_16
    DOI: 10.1007/978-3-030-61732-5_16
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