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Contributions in Mathematics and Engineering pp 443–472Cite as

General Harmonic Convex Functions and Integral Inequalities

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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.

In Honor of Constantin Carathéodory

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Acknowledgements

The author would like to thank Dr. S.M. Junaid Zaidi, Rector, COMSATS Institute of Information Technology, Pakistan, for providing excellent research and academic environment.

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Authors and Affiliations

  1. COMSATS Institute of Information and Technology, Park Road, Islamabad, Pakistan

    Muhammad Aslam Noor, Khalida Inayat Noor, Muhammad Uzair Awan & Sabah Iftikhar

Authors
  1. Muhammad Aslam Noor
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  2. Khalida Inayat Noor
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  3. Muhammad Uzair Awan
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  4. Sabah Iftikhar
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Corresponding author

Correspondence to Muhammad Aslam Noor .

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Editors and Affiliations

  1. Industrial and Systems Engineering, University of Florida, Gainesville, Florida, USA

    Panos M. Pardalos

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

    Themistocles M. Rassias

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Noor, M.A., Noor, K.I., Awan, M.U., Iftikhar, S. (2016). General Harmonic Convex Functions and Integral Inequalities. In: Pardalos, P., Rassias, T. (eds) Contributions in Mathematics and Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-31317-7_22

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