Schur, Hermite-Hadamard, and Fejér Type Inequalities for the Class of Higher-Order Generalized Convex Functions
The study of convex functions is an interesting area of research due to its huge applications in pure and applied mathematics special in optimization theory. The aim of this paper is to introduce and study a more generalized class of convex functions. We established Schur (S), Hermite-Hadamard (HH),...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/8575563 |
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| author | Yi Ma Muhammad Shoaib Saleem Imran Bashir Yeliang Xiao |
| author_facet | Yi Ma Muhammad Shoaib Saleem Imran Bashir Yeliang Xiao |
| author_sort | Yi Ma |
| collection | DOAJ |
| description | The study of convex functions is an interesting area of research due to its huge applications in pure and applied mathematics special in optimization theory. The aim of this paper is to introduce and study a more generalized class of convex functions. We established Schur (S), Hermite-Hadamard (HH), and Fejér (F) type inequalities for introduced class of convex functions. The results presented in this paper extend and generalize many existing results of the literature. |
| format | Article |
| id | doaj-art-b7108919cf9744e9bb7bad10463da8b0 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-b7108919cf9744e9bb7bad10463da8b02025-02-03T01:23:35ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/8575563Schur, Hermite-Hadamard, and Fejér Type Inequalities for the Class of Higher-Order Generalized Convex FunctionsYi Ma0Muhammad Shoaib Saleem1Imran Bashir2Yeliang Xiao3School of Mathematics and Information EngineeringDepartment of MathematicsDepartment of MathematicsSchool of General EducationThe study of convex functions is an interesting area of research due to its huge applications in pure and applied mathematics special in optimization theory. The aim of this paper is to introduce and study a more generalized class of convex functions. We established Schur (S), Hermite-Hadamard (HH), and Fejér (F) type inequalities for introduced class of convex functions. The results presented in this paper extend and generalize many existing results of the literature.http://dx.doi.org/10.1155/2022/8575563 |
| spellingShingle | Yi Ma Muhammad Shoaib Saleem Imran Bashir Yeliang Xiao Schur, Hermite-Hadamard, and Fejér Type Inequalities for the Class of Higher-Order Generalized Convex Functions Journal of Function Spaces |
| title | Schur, Hermite-Hadamard, and Fejér Type Inequalities for the Class of Higher-Order Generalized Convex Functions |
| title_full | Schur, Hermite-Hadamard, and Fejér Type Inequalities for the Class of Higher-Order Generalized Convex Functions |
| title_fullStr | Schur, Hermite-Hadamard, and Fejér Type Inequalities for the Class of Higher-Order Generalized Convex Functions |
| title_full_unstemmed | Schur, Hermite-Hadamard, and Fejér Type Inequalities for the Class of Higher-Order Generalized Convex Functions |
| title_short | Schur, Hermite-Hadamard, and Fejér Type Inequalities for the Class of Higher-Order Generalized Convex Functions |
| title_sort | schur hermite hadamard and fejer type inequalities for the class of higher order generalized convex functions |
| url | http://dx.doi.org/10.1155/2022/8575563 |
| work_keys_str_mv | AT yima schurhermitehadamardandfejertypeinequalitiesfortheclassofhigherordergeneralizedconvexfunctions AT muhammadshoaibsaleem schurhermitehadamardandfejertypeinequalitiesfortheclassofhigherordergeneralizedconvexfunctions AT imranbashir schurhermitehadamardandfejertypeinequalitiesfortheclassofhigherordergeneralizedconvexfunctions AT yeliangxiao schurhermitehadamardandfejertypeinequalitiesfortheclassofhigherordergeneralizedconvexfunctions |