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Differential and Integral Inequalities pp 231–264Cite as

Harmonic Exponential Convex Functions and Inequalities

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Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 151))

Abstract

In this chapter, we intend to introduce and study a new class of harmonic exponential h-convex functions. We show that this class includes several new and previously known classes of harmonic convex functions. We derive several Hermite–Hadamard type integral inequalities. Numerous special cases are also discussed.

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Acknowledgements

The authors are grateful to Prof. Dr. Th. M. Rassias for his kind invitation. This research is supported by HEC NRPU project titled: “Inequalities via convex functions and its generalizations” and No: 8081/Punjab/NRPU/R&D/HEC/2017.

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Authors and Affiliations

  1. Government College University Faisalabad, Faisalabad, Pakistan

    Muhammad Uzair Awan

  2. COMSATS University Islamabad, Islamabad, Pakistan

    Muhammad Aslam Noor & Khalida Inayat Noor

Authors
  1. Muhammad Uzair Awan
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  2. Muhammad Aslam Noor
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  3. Khalida Inayat Noor
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Babeş-Bolyai University, Cluj-Napoca, Romania

    Dorin Andrica

  2. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

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Awan, M.U., Noor, M.A., Noor, K.I. (2019). Harmonic Exponential Convex Functions and Inequalities. In: Andrica, D., Rassias, T. (eds) Differential and Integral Inequalities. Springer Optimization and Its Applications, vol 151. Springer, Cham. https://doi.org/10.1007/978-3-030-27407-8_5

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