Some new fractal Milne-type integral inequalities via generalized convexity with applications
This study aims to construct some new Milne-type integral inequalities for functions whose modulus of the local fractional derivatives is convex on the fractal set. To that end, we develop a novel generalized integral identity involving first-order generalized derivatives. Finally, as applications,...
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| 主要な著者: | , , , |
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| フォーマット: | 論文 |
| 出版事項: |
Multidisciplinary Digital Publishing Institute
2023
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| オンライン･アクセス: | http://psasir.upm.edu.my/id/eprint/109195/ https://www.mdpi.com/2504-3110/7/2/166 |
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| 要約: | This study aims to construct some new Milne-type integral inequalities for functions whose modulus of the local fractional derivatives is convex on the fractal set. To that end, we develop a novel generalized integral identity involving first-order generalized derivatives. Finally, as applications, some error estimates for the Milne-type quadrature formula and new inequalities for the generalized arithmetic and p-Logarithmic means are derived. This paper’s findings represent a significant improvement over previously published results. The paper’s ideas and formidable tools may inspire and motivate further research in this worthy and fascinating field. |
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