Some Integral Inequalities for n-Polynomial ζ-Preinvex Functions
In this paper, we study the properties of n-polynomial ζ-preinvex functions and establish some integral inequalities of Hermite-Hadamard type via this class of convex functions. Moreover, we discuss some special cases which provide a significant complement to the integral estimations of preinvex fun...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6697729 |
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| _version_ | 1850167465184591872 |
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| author | Shanhe Wu Muhammad Uzair Awan Muhammad Ubaid Ullah Sadia Talib Artion Kashuri |
| author_facet | Shanhe Wu Muhammad Uzair Awan Muhammad Ubaid Ullah Sadia Talib Artion Kashuri |
| author_sort | Shanhe Wu |
| collection | DOAJ |
| description | In this paper, we study the properties of n-polynomial ζ-preinvex functions and establish some integral inequalities of Hermite-Hadamard type via this class of convex functions. Moreover, we discuss some special cases which provide a significant complement to the integral estimations of preinvex functions. Applications of the obtained results to the inequalities for special means are also considered. |
| format | Article |
| id | doaj-art-d7c74e6e407047d4b1c7c2869b72d09d |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-d7c74e6e407047d4b1c7c2869b72d09d2025-08-20T02:21:11ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66977296697729Some Integral Inequalities for n-Polynomial ζ-Preinvex FunctionsShanhe Wu0Muhammad Uzair Awan1Muhammad Ubaid Ullah2Sadia Talib3Artion Kashuri4Department of Mathematics, Longyan University, Longyan 364012, ChinaDepartment of Mathematics, Government College University, Faisalabad 38000, PakistanDepartment of Mathematics, Government College University, Faisalabad 38000, PakistanDepartment of Mathematics, Government College University, Faisalabad 38000, PakistanDepartment of Mathematics, Faculty of Technical Science, University Ismail Qemali, Vlora 9400, AlbaniaIn this paper, we study the properties of n-polynomial ζ-preinvex functions and establish some integral inequalities of Hermite-Hadamard type via this class of convex functions. Moreover, we discuss some special cases which provide a significant complement to the integral estimations of preinvex functions. Applications of the obtained results to the inequalities for special means are also considered.http://dx.doi.org/10.1155/2021/6697729 |
| spellingShingle | Shanhe Wu Muhammad Uzair Awan Muhammad Ubaid Ullah Sadia Talib Artion Kashuri Some Integral Inequalities for n-Polynomial ζ-Preinvex Functions Journal of Function Spaces |
| title | Some Integral Inequalities for n-Polynomial ζ-Preinvex Functions |
| title_full | Some Integral Inequalities for n-Polynomial ζ-Preinvex Functions |
| title_fullStr | Some Integral Inequalities for n-Polynomial ζ-Preinvex Functions |
| title_full_unstemmed | Some Integral Inequalities for n-Polynomial ζ-Preinvex Functions |
| title_short | Some Integral Inequalities for n-Polynomial ζ-Preinvex Functions |
| title_sort | some integral inequalities for n polynomial ζ preinvex functions |
| url | http://dx.doi.org/10.1155/2021/6697729 |
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