Improvement of Some Hayashi–Ostrowski Type Inequalities with Applications in a Probability Setting

Mohammad W. Alomari, Christophe Chesneau, Víctor Leiva, Carlos Martin-Barreiro

Research output: Contribution to journalArticlepeer-review

Abstract

Different types of mathematical inequalities have been largely analyzed and employed. In this paper, we introduce improvements to some Ostrowski type inequalities and present their corresponding proofs. The presented proofs are based on applying the celebrated Hayashi inequality to certain functions. We provide examples that show these improvements. Illustrations of the obtained results are stated in a probability framework.

Original languageEnglish
Article number2316
JournalMathematics
Volume10
Issue number13
DOIs
StatePublished - 1 Jul 2022
Externally publishedYes

Keywords

  • Gauss and Simpson quadratures
  • Hayashi inequality
  • Ostrowski inequality

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