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On An Application of Hayashi's Inequality for Differentiable Functions

Classical Analysis and ODEs 2022-03-10 v2

Abstract

In this work, we show that the proof of the main result in [An Application of Hayashi's Inequality for Differentiable Functions, Computers & Mathematics with Applications, 32 (6) (1996), 95--99, by R.P. Agarwal and S.S. Dragomir] was wrong. A correction of the proof is given. More general related inequalities are also provided.

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Cite

@article{arxiv.1807.08028,
  title  = {On An Application of Hayashi's Inequality for Differentiable Functions},
  author = {M. W. Alomari},
  journal= {arXiv preprint arXiv:1807.08028},
  year   = {2022}
}

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9 pages