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Ostrowski and Čebyšev type inequalities for interval-valued functions and applications

Author

Listed:
  • Jing Guo
  • Xianjun Zhu
  • Wenfeng Li
  • Hui Li

Abstract

As an essential part of classical analysis, Ostrowski and Čebyšev type inequalities have recently attracted considerable attention. Due to its universality, the non-additive integral inequality takes several forms, including Sugeno integrals, Choquet integrals, and pseudo-integrals. Set-valued analysis, a well-known generalization of classical analysis, is frequently employed in studying mathematical economics, control theory, etc. Inspired by pioneering work on interval-valued inequalities, this paper establishes specific Ostrowski and Čebyšev type inequalities for interval-valued functions. Moreover, the error estimation to quadrature rules is presented as some applications for illustrating our results. In addition, illustrative examples are offered to demonstrate the applicability of the mathematical methods presented.

Suggested Citation

  • Jing Guo & Xianjun Zhu & Wenfeng Li & Hui Li, 2023. "Ostrowski and Čebyšev type inequalities for interval-valued functions and applications," PLOS ONE, Public Library of Science, vol. 18(9), pages 1-21, September.
    • Handle: RePEc:plo:pone00:0291349
    DOI: 10.1371/journal.pone.0291349
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