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Simpson’s Integral Inequalities for Twice Differentiable Convex Functions

Author

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  • Miguel Vivas-Cortez
  • Thabet Abdeljawad
  • Pshtiwan Othman Mohammed
  • Yenny Rangel-Oliveros

Abstract

Integral inequality is an interesting mathematical model due to its wide and significant applications in mathematical analysis and fractional calculus. In the present research article, we obtain new inequalities of Simpson’s integral type based on the - convex and - quasiconvex functions in the second derivative sense. In the last sections, some applications on special functions are provided and shown via two figures to demonstrate the explanation of the readers.

Suggested Citation

  • Miguel Vivas-Cortez & Thabet Abdeljawad & Pshtiwan Othman Mohammed & Yenny Rangel-Oliveros, 2020. "Simpson’s Integral Inequalities for Twice Differentiable Convex Functions," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-15, June.
    • Handle: RePEc:hin:jnlmpe:1936461
    DOI: 10.1155/2020/1936461
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    Cited by:

    1. Hüseyin Budak & Fatih Hezenci & Hasan Kara & Mehmet Zeki Sarikaya, 2023. "Bounds for the Error in Approximating a Fractional Integral by Simpson’s Rule," Mathematics, MDPI, vol. 11(10), pages 1-16, May.

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