Strongly Reciprocally p-Convex Functions and Some Inequalities
In this paper, we generalize the concept of strong and reciprocal convexity. Some basic properties and results will be presented for the new class of strongly reciprocally p-convex functions. Furthermore, we will discuss the Hermite–Hadamard-type, Jensen-type, and Fejér-type inequalities for the str...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/4957141 |
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| _version_ | 1832565992005304320 |
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| author | Hao Li Muhammad Shoaib Saleem Ijaz Hussain Muhammad Imran |
| author_facet | Hao Li Muhammad Shoaib Saleem Ijaz Hussain Muhammad Imran |
| author_sort | Hao Li |
| collection | DOAJ |
| description | In this paper, we generalize the concept of strong and reciprocal convexity. Some basic properties and results will be presented for the new class of strongly reciprocally p-convex functions. Furthermore, we will discuss the Hermite–Hadamard-type, Jensen-type, and Fejér-type inequalities for the strongly reciprocally p-convex functions. |
| format | Article |
| id | doaj-art-536004e81487469d9d6a48ce618fb982 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-536004e81487469d9d6a48ce618fb9822025-02-03T01:05:21ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/49571414957141Strongly Reciprocally p-Convex Functions and Some InequalitiesHao Li0Muhammad Shoaib Saleem1Ijaz Hussain2Muhammad Imran3School of Science, Department Mathematics and Information, University of Changan, Xi’an, ChinaDepartment of Mathematics, University of Okara, Okara, PakistanDepartment of Mathematics, University of Okara, Okara, PakistanDepartment of Mathematics, University of Okara, Okara, PakistanIn this paper, we generalize the concept of strong and reciprocal convexity. Some basic properties and results will be presented for the new class of strongly reciprocally p-convex functions. Furthermore, we will discuss the Hermite–Hadamard-type, Jensen-type, and Fejér-type inequalities for the strongly reciprocally p-convex functions.http://dx.doi.org/10.1155/2020/4957141 |
| spellingShingle | Hao Li Muhammad Shoaib Saleem Ijaz Hussain Muhammad Imran Strongly Reciprocally p-Convex Functions and Some Inequalities Journal of Mathematics |
| title | Strongly Reciprocally p-Convex Functions and Some Inequalities |
| title_full | Strongly Reciprocally p-Convex Functions and Some Inequalities |
| title_fullStr | Strongly Reciprocally p-Convex Functions and Some Inequalities |
| title_full_unstemmed | Strongly Reciprocally p-Convex Functions and Some Inequalities |
| title_short | Strongly Reciprocally p-Convex Functions and Some Inequalities |
| title_sort | strongly reciprocally p convex functions and some inequalities |
| url | http://dx.doi.org/10.1155/2020/4957141 |
| work_keys_str_mv | AT haoli stronglyreciprocallypconvexfunctionsandsomeinequalities AT muhammadshoaibsaleem stronglyreciprocallypconvexfunctionsandsomeinequalities AT ijazhussain stronglyreciprocallypconvexfunctionsandsomeinequalities AT muhammadimran stronglyreciprocallypconvexfunctionsandsomeinequalities |