Perturbed trapezoid inequalities for n th order differentiable convex functions and their applications
In this study, we introduce a new general identity for n th order differentiable functions. Also, we establish some new inequalities regarding general perturbed trapezoid inequality for the functions whose the absolute values of n th derivatives are convex. Finally, some applications for special mea...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-07-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/math.2020352/fulltext.html |
| _version_ | 1819105383647543296 |
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| author | Duygu Dönmez Demir Gülsüm Şanal |
| author_facet | Duygu Dönmez Demir Gülsüm Şanal |
| author_sort | Duygu Dönmez Demir |
| collection | DOAJ |
| description | In this study, we introduce a new general identity for n th order differentiable functions. Also, we establish some new inequalities regarding general perturbed trapezoid inequality for the functions whose the absolute values of n th derivatives are convex. Finally, some applications for special means are provided. |
| first_indexed | 2024-12-22T02:21:23Z |
| format | Article |
| id | doaj.art-dbce5c49143549e7949a9f672ed9d29c |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-22T02:21:23Z |
| publishDate | 2020-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-dbce5c49143549e7949a9f672ed9d29c2022-12-21T18:42:07ZengAIMS PressAIMS Mathematics2473-69882020-07-01565495550910.3934/math.2020352Perturbed trapezoid inequalities for n th order differentiable convex functions and their applicationsDuygu Dönmez Demir0Gülsüm Şanal1Department of Mathematics, Manisa Celal Bayar University, Manisa, TurkeyDepartment of Mathematics, Manisa Celal Bayar University, Manisa, TurkeyIn this study, we introduce a new general identity for n th order differentiable functions. Also, we establish some new inequalities regarding general perturbed trapezoid inequality for the functions whose the absolute values of n th derivatives are convex. Finally, some applications for special means are provided.https://www.aimspress.com/article/10.3934/math.2020352/fulltext.htmlconvex functionperturbed trapezoid inequalities |
| spellingShingle | Duygu Dönmez Demir Gülsüm Şanal Perturbed trapezoid inequalities for n th order differentiable convex functions and their applications AIMS Mathematics convex function perturbed trapezoid inequalities |
| title | Perturbed trapezoid inequalities for n th order differentiable convex functions and their applications |
| title_full | Perturbed trapezoid inequalities for n th order differentiable convex functions and their applications |
| title_fullStr | Perturbed trapezoid inequalities for n th order differentiable convex functions and their applications |
| title_full_unstemmed | Perturbed trapezoid inequalities for n th order differentiable convex functions and their applications |
| title_short | Perturbed trapezoid inequalities for n th order differentiable convex functions and their applications |
| title_sort | perturbed trapezoid inequalities for n th order differentiable convex functions and their applications |
| topic | convex function perturbed trapezoid inequalities |
| url | https://www.aimspress.com/article/10.3934/math.2020352/fulltext.html |
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