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

Mohammad W. Alomari, Christophe Chesneau, Víctor Leiva and Carlos Martin-Barreiro
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Mohammad W. Alomari: Department of Mathematics, Faculty of Science and Information Technology, Irbid National University, Irbid 21110, Jordan
Christophe Chesneau: Department of Mathematics, Université de Caen Basse-Normandie, F-14032 Caen, France
Víctor Leiva: School of Industrial Engineering, Pontificia Universidad Católica de Valparaíso, Valparaíso 2362807, Chile
Carlos Martin-Barreiro: Faculty of Natural Sciences and Mathematics, Escuela Superior Politécnica del Litoral ESPOL, Guayaquil 090902, Ecuador

Mathematics, 2022, vol. 10, issue 13, 1-15

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.

Keywords: Gauss and Simpson quadratures; Hayashi inequality; Ostrowski inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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