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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| Format: | Article |
| Language: | English |
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University of Maragheh
2022-06-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_250962_e19d8746290553c442a01e7c1d29896f.pdf |
| _version_ | 1811222204768059392 |
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| author | Merve Avcı Ardıç Ahmet Akdemir Erhan Set |
| author_facet | Merve Avcı Ardıç Ahmet Akdemir Erhan Set |
| author_sort | Merve Avcı Ardıç |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T08:12:01Z |
| format | Article |
| id | doaj.art-2c06c341f67e4a57b74f8376fdb46476 |
| institution | Directory Open Access Journal |
| issn | 2322-5807 2423-3900 |
| language | English |
| last_indexed | 2024-04-12T08:12:01Z |
| publishDate | 2022-06-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj.art-2c06c341f67e4a57b74f8376fdb464762022-12-22T03:40:55ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002022-06-0119211410.22130/scma.2021.535821.971250962On New Integral Inequalities via Geometric-Arithmetic Convex Functions with ApplicationsMerve Avcı Ardıç0Ahmet Akdemir1Erhan Set2Adıyaman University, Faculty of Science and Arts, Department of Mathematics, Adıyaman, Turkey.Ağrı İbrahim Çeçen University, Faculty of Science and Letters, Department of Mathematics, 04100, Ağrı, Turkey.Ordu University, Faculty of Science and Letters, Department of Mathematics,Ordu, Turkey.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.https://scma.maragheh.ac.ir/article_250962_e19d8746290553c442a01e7c1d29896f.pdfmean functionspecial means$ga-$convex functionsholder's inequality |
| spellingShingle | Merve Avcı Ardıç Ahmet Akdemir Erhan Set On New Integral Inequalities via Geometric-Arithmetic Convex Functions with Applications Sahand Communications in Mathematical Analysis mean function special means $ga-$convex functions holder's inequality |
| title | On New Integral Inequalities via Geometric-Arithmetic Convex Functions with Applications |
| title_full | On New Integral Inequalities via Geometric-Arithmetic Convex Functions with Applications |
| title_fullStr | On New Integral Inequalities via Geometric-Arithmetic Convex Functions with Applications |
| title_full_unstemmed | On New Integral Inequalities via Geometric-Arithmetic Convex Functions with Applications |
| title_short | On New Integral Inequalities via Geometric-Arithmetic Convex Functions with Applications |
| title_sort | on new integral inequalities via geometric arithmetic convex functions with applications |
| topic | mean function special means $ga-$convex functions holder's inequality |
| url | https://scma.maragheh.ac.ir/article_250962_e19d8746290553c442a01e7c1d29896f.pdf |
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