On New Integral Inequalities via Geometric-Arithmetic Convex Functions with Applications
In this study, new Hermite-Hadamard type inequalities are generated for geometric-arithmetic functions with the help of an integral equation proved for differentiable functions. In proofs, some classical integral inequalities, such as H\"{o}lder's inequality, basic definitions and known ma...
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Veröffentlicht in: | Sahand communications in mathematical analysis 2022-06, Vol.19 (2), p.1-14 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | In this study, new Hermite-Hadamard type inequalities are generated for geometric-arithmetic functions with the help of an integral equation proved for differentiable functions. In proofs, some classical integral inequalities, such as H\"{o}lder's inequality, basic definitions and known mathematical analysis procedures are used. The third part of the study includes various applications confirming the accuracy of the generated results. A brief conclusion of the study has been given in the last part of the paper. |
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ISSN: | 2322-5807 2423-3900 |
DOI: | 10.22130/scma.2021.535821.971 |