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New Simpson Type Integral Inequalities for - Convex Functions and Their Applications

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Listed:
  • Artion Kashuri
  • Pshtiwan Othman Mohammed
  • Thabet Abdeljawad
  • Faraidun Hamasalh
  • Yuming Chu

Abstract

First, we consider a new Simpson’s identity. This identity investigates our main results that consist of some integral inequalities of Simpson’s type for the –convex functions. From our main results, we obtain some special cases which are discussed in detail. Finally, some applications on the Bessel functions, special means of distinct positive real numbers, and error estimation about Simpson quadrature formula are presented to support our theoretical results.

Suggested Citation

  • Artion Kashuri & Pshtiwan Othman Mohammed & Thabet Abdeljawad & Faraidun Hamasalh & Yuming Chu, 2020. "New Simpson Type Integral Inequalities for - Convex Functions and Their Applications," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-12, October.
    • Handle: RePEc:hin:jnlmpe:8871988
    DOI: 10.1155/2020/8871988
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