An Application of Hayashi’s Inequality for Differentiable Functions
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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-03-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/10/6/907 |
| _version_ | 1797445406826692608 |
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| author | Mohammad W. Alomari Milica Klaričić Bakula |
| author_facet | Mohammad W. Alomari Milica Klaričić Bakula |
| author_sort | Mohammad W. Alomari |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T13:26:20Z |
| format | Article |
| id | doaj.art-7d146c92810149c5add2f4f39a35d916 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T13:26:20Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-7d146c92810149c5add2f4f39a35d9162023-11-30T21:23:51ZengMDPI AGMathematics2227-73902022-03-0110690710.3390/math10060907An Application of Hayashi’s Inequality for Differentiable FunctionsMohammad W. Alomari0Milica Klaričić Bakula1Department of Mathematics, Faculty of Science and Information Technology, Irbid National University, P.O. Box 2600, Irbid 21110, JordanFaculty of Science, University of Split, Ruđera Boškovića 33, 21000 Split, CroatiaIn 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.https://www.mdpi.com/2227-7390/10/6/907Hayashi’s inequalityOstrowski’s inequalitytrapezoidal ruledifferentiable functions |
| spellingShingle | Mohammad W. Alomari Milica Klaričić Bakula An Application of Hayashi’s Inequality for Differentiable Functions Mathematics Hayashi’s inequality Ostrowski’s inequality trapezoidal rule differentiable functions |
| title | An Application of Hayashi’s Inequality for Differentiable Functions |
| title_full | An Application of Hayashi’s Inequality for Differentiable Functions |
| title_fullStr | An Application of Hayashi’s Inequality for Differentiable Functions |
| title_full_unstemmed | An Application of Hayashi’s Inequality for Differentiable Functions |
| title_short | An Application of Hayashi’s Inequality for Differentiable Functions |
| title_sort | application of hayashi s inequality for differentiable functions |
| topic | Hayashi’s inequality Ostrowski’s inequality trapezoidal rule differentiable functions |
| url | https://www.mdpi.com/2227-7390/10/6/907 |
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