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On generalizations of some inequalities for convex functions via quantum integrals

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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, some new Simpson’s second type quantum integral inequalities are established for convex functions. Some special cases are discussed for the case \(q\rightarrow 1^-\). Moreover, some inequalities related to Simpson’s \( \frac{3}{8}\) formula are obtained.

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Acknowledgements

The authors acknowledge the financial support provided by the Center of Excellence in Theoretical and Computational Science (TaCS-CoE), KMUTT. This research is supported by Postdoctoral Fellowship from King Mongkut’s University of Technology Thonburi (KMUTT) under supervisor of Professor Poom Kumam. Moreover, Wiyada Kumam was financially sup- ported by the Rajamangala University of Technology Thanyaburi (RMUTTT) (Grant No.NSF62D0604).

Funding

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

Author information

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, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran

    Mohsen Rostamian Delavar

  4. Renewable Energy Research Centre (RERC), King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand

    Phatiphat Thounthong

  5. Program in Applied Statistics, Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi (RMUTT), Thanyaburi, Pathumthani, Thailand

    Wiyada Kumam

  6. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan

    Poom Kumam

Authors
  1. Samet Erden
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  2. Sabah Iftikhar
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  3. Mohsen Rostamian Delavar
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  4. Poom Kumam
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  5. Phatiphat Thounthong
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  6. Wiyada Kumam
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Contributions

Conceptualization, writing-original draft preparation, S. Erden and S. Iftikhar; Writing review M. R. Delavar; Writing-review and editing, W. Kumam; Project administration, P. Thounthong; Supervision, P. Kumam.

Corresponding authors

Correspondence to Poom Kumam or Wiyada Kumam.

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Erden, S., Iftikhar, S., Delavar, M.R. et al. On generalizations of some inequalities for convex functions via quantum integrals. RACSAM 114, 110 (2020). https://doi.org/10.1007/s13398-020-00841-3

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  • DOI: https://doi.org/10.1007/s13398-020-00841-3

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