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Some Newton’s like inequalities with applications

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

In this paper, we first establish a generalized integral identity. Using this new auxiliary result some new integral inequalities of Newton’s type for functions whose first derivative in absolute value at certain power are arithmetically-harmonically convex are obtained. Some special cases and applications to special means are also discussed.

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Acknowledgements

This research is supported by Postdoctoral Fellowship from King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok, Thailand.

Funding

This research was funded by the Center of Excellence in Theoretical and Computational Science (TaCS-CoE), KMUTT.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Bartın University, Bartin, Turkey

    Samet Erden

  2. KMUTT Fixed Point Research Laboratory, KMUTT-Fixed Point Theory and Applications Research Group, SCL 802 Fixed Point Laboratory, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok, 10140, Thailand

    Sabah Iftikhar & Poom Kumam

  3. Department of Mathematics, GC University Faisalabad, Faisalabad, Pakistan

    Muhammad Uzair Awan

  4. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

    Poom Kumam

Authors
  1. Samet Erden
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  2. Sabah Iftikhar
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  3. Poom Kumam
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  4. Muhammad Uzair Awan
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All authors worked jointly and contributed equally.

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Correspondence to Poom Kumam.

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Erden, S., Iftikhar, S., Kumam, P. et al. Some Newton’s like inequalities with applications. RACSAM 114, 195 (2020). https://doi.org/10.1007/s13398-020-00926-z

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  • DOI: https://doi.org/10.1007/s13398-020-00926-z

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