An Application of Hayashi’s Inequality for Differentiable Functions

Mohammad W. Alomari and Milica Klaričić Bakula
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Mohammad W. Alomari: Department of Mathematics, Faculty of Science and Information Technology, Irbid National University, P.O. Box 2600, Irbid 21110, Jordan
Milica Klaričić Bakula: Faculty of Science, University of Split, Ruđera Boškovića 33, 21000 Split, Croatia

Mathematics, 2022, vol. 10, issue 6, 1-9

Abstract: In this work, we offer new applications of Hayashi’s inequality for differentiable functions by proving new error estimates of the Ostrowski- and trapezoid-type quadrature rules.

Keywords: Hayashi’s inequality; Ostrowski’s inequality; trapezoidal rule; differentiable functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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