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Article

An Application of Hayashi’s Inequality for Differentiable Functions

1
Department of Mathematics, Faculty of Science and Information Technology, Irbid National University, P.O. Box 2600, Irbid 21110, Jordan
2
Faculty of Science, University of Split, Ruđera Boškovića 33, 21000 Split, Croatia
*
Author to whom correspondence should be addressed.
Academic Editor: Juan Benigno Seoane-Sepúlveda
Mathematics 2022, 10(6), 907; https://doi.org/10.3390/math10060907
Received: 1 March 2022 / Revised: 9 March 2022 / Accepted: 10 March 2022 / Published: 11 March 2022
(This article belongs to the Special Issue Advances in Mathematical Inequalities and Applications)
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. View Full-Text
Keywords: Hayashi’s inequality; Ostrowski’s inequality; trapezoidal rule; differentiable functions Hayashi’s inequality; Ostrowski’s inequality; trapezoidal rule; differentiable functions
MDPI and ACS Style

Alomari, M.W.; Klaričić Bakula, M. An Application of Hayashi’s Inequality for Differentiable Functions. Mathematics 2022, 10, 907. https://doi.org/10.3390/math10060907

AMA Style

Alomari MW, Klaričić Bakula M. An Application of Hayashi’s Inequality for Differentiable Functions. Mathematics. 2022; 10(6):907. https://doi.org/10.3390/math10060907

Chicago/Turabian Style

Alomari, Mohammad W., and Milica Klaričić Bakula. 2022. "An Application of Hayashi’s Inequality for Differentiable Functions" Mathematics 10, no. 6: 907. https://doi.org/10.3390/math10060907

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