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General Harmonic Convex Functions and Integral Inequalities

In: Contributions in Mathematics and Engineering

Author

Listed:
  • Muhammad Aslam Noor

    (COMSATS Institute of Information and Technology)

  • Khalida Inayat Noor

    (COMSATS Institute of Information and Technology)

  • Muhammad Uzair Awan

    (COMSATS Institute of Information and Technology)

  • Sabah Iftikhar

    (COMSATS Institute of Information and Technology)

Abstract

In this chapter, we introduce the notion of general harmonic convex functions using an arbitrary auxiliary function $$g: \mathbb{R} \rightarrow \mathbb{R}$$ . We obtain several new integral inequalities for general harmonic convex functions. Special cases which can be derived from our main results are also discussed.

Suggested Citation

  • Muhammad Aslam Noor & Khalida Inayat Noor & Muhammad Uzair Awan & Sabah Iftikhar, 2016. "General Harmonic Convex Functions and Integral Inequalities," Springer Books, in: Panos M. Pardalos & Themistocles M. Rassias (ed.), Contributions in Mathematics and Engineering, pages 443-472, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-31317-7_22
    DOI: 10.1007/978-3-319-31317-7_22
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