On Some New Weighted Inequalities for Differentiable Exponentially Convex and Exponentially Quasi-Convex Functions with Applications
In this article, we aim to establish several inequalities for differentiable exponentially convex and exponentially quasi-convex mapping, which are connected with the famous Hermite−Hadamard (HH) integral inequality. Moreover, we have provided applications of our findings to error estimati...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2019-08-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/7/8/727 |
| _version_ | 1818898531371450368 |
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| author | Dongming Nie Saima Rashid Ahmet Ocak Akdemir Dumitru Baleanu Jia-Bao Liu |
| author_facet | Dongming Nie Saima Rashid Ahmet Ocak Akdemir Dumitru Baleanu Jia-Bao Liu |
| author_sort | Dongming Nie |
| collection | DOAJ |
| description | In this article, we aim to establish several inequalities for differentiable exponentially convex and exponentially quasi-convex mapping, which are connected with the famous Hermite−Hadamard (HH) integral inequality. Moreover, we have provided applications of our findings to error estimations in numerical analysis and higher moments of random variables. |
| first_indexed | 2024-12-19T19:33:33Z |
| format | Article |
| id | doaj.art-7fcfee657f554ca78909b7656a501dbf |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-19T19:33:33Z |
| publishDate | 2019-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-7fcfee657f554ca78909b7656a501dbf2022-12-21T20:08:31ZengMDPI AGMathematics2227-73902019-08-017872710.3390/math7080727math7080727On Some New Weighted Inequalities for Differentiable Exponentially Convex and Exponentially Quasi-Convex Functions with ApplicationsDongming Nie0Saima Rashid1Ahmet Ocak Akdemir2Dumitru Baleanu3Jia-Bao Liu4School of Common Courses, Anhui Xinhua University, Hefei 230088, ChinaDepartment of Mathematics, Govt. College, University, Faisalabad 38000, PakistanDepartment of Mathematics, Faculty of Science and Letters, Agri Ibrahim Çeçen University, Agri 04100, TurkeyDepartment of Mathematics, Cankaya University, Ankara 06530, TurkeySchool of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, ChinaIn this article, we aim to establish several inequalities for differentiable exponentially convex and exponentially quasi-convex mapping, which are connected with the famous Hermite−Hadamard (HH) integral inequality. Moreover, we have provided applications of our findings to error estimations in numerical analysis and higher moments of random variables.https://www.mdpi.com/2227-7390/7/8/727convex functionexponentially convex functionsHH inequality<i>r<sup>th</sup></i>-moment |
| spellingShingle | Dongming Nie Saima Rashid Ahmet Ocak Akdemir Dumitru Baleanu Jia-Bao Liu On Some New Weighted Inequalities for Differentiable Exponentially Convex and Exponentially Quasi-Convex Functions with Applications Mathematics convex function exponentially convex functions HH inequality <i>r<sup>th</sup></i>-moment |
| title | On Some New Weighted Inequalities for Differentiable Exponentially Convex and Exponentially Quasi-Convex Functions with Applications |
| title_full | On Some New Weighted Inequalities for Differentiable Exponentially Convex and Exponentially Quasi-Convex Functions with Applications |
| title_fullStr | On Some New Weighted Inequalities for Differentiable Exponentially Convex and Exponentially Quasi-Convex Functions with Applications |
| title_full_unstemmed | On Some New Weighted Inequalities for Differentiable Exponentially Convex and Exponentially Quasi-Convex Functions with Applications |
| title_short | On Some New Weighted Inequalities for Differentiable Exponentially Convex and Exponentially Quasi-Convex Functions with Applications |
| title_sort | on some new weighted inequalities for differentiable exponentially convex and exponentially quasi convex functions with applications |
| topic | convex function exponentially convex functions HH inequality <i>r<sup>th</sup></i>-moment |
| url | https://www.mdpi.com/2227-7390/7/8/727 |
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