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On the new Hermite–Hadamard type inequalities for s-convex functions

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Abstract

In this paper, we have established some new integral identities connected with the left-hand side of Hermite–Hadamard inequality. By using this identity, we have obtained some new bounds for functions whose derivatives in absolute values are s-convex.

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Acknowledgements

The authors of this paper wish to thank the anonymous referees for their useful comments towards the improvements of the paper.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, University of Jiroft, P.O. Box 78671-61167, Jiroft, Iran

    Hasan Barsam

  2. Faculty of Technology and Mining, Yasouj University, Choram, Iran

    Sayyed Mehrab Ramezani

  3. Department of Mathematics, Sirjan University of Technology, Sirjan, Iran

    Yamin Sayyari

Authors
  1. Hasan Barsam
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  2. Sayyed Mehrab Ramezani
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  3. Yamin Sayyari
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Correspondence to Hasan Barsam.

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Barsam, H., Ramezani, S.M. & Sayyari, Y. On the new Hermite–Hadamard type inequalities for s-convex functions. Afr. Mat. 32, 1355–1367 (2021). https://doi.org/10.1007/s13370-021-00904-7

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