Petrović-Type Inequalities for Harmonic h-convex Functions
In the article, we establish several Petrović-type inequalities for the harmonic h-convex (concave) function if h is a submultiplicative (super-multiplicative) function, provide some new majorizaton type inequalities for harmonic convex function, and prove the superadditivity, subadditivity, lineari...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/3075390 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832553288897134592 |
|---|---|
| author | Imran Abbas Baloch Yu-Ming Chu |
| author_facet | Imran Abbas Baloch Yu-Ming Chu |
| author_sort | Imran Abbas Baloch |
| collection | DOAJ |
| description | In the article, we establish several Petrović-type inequalities for the harmonic h-convex (concave) function if h is a submultiplicative (super-multiplicative) function, provide some new majorizaton type inequalities for harmonic convex function, and prove the superadditivity, subadditivity, linearity, and monotonicity properties for the functionals derived from the Petrović type inequalities. |
| format | Article |
| id | doaj-art-bbe278d0ed5840ccbc76ebdd1b697cbb |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-bbe278d0ed5840ccbc76ebdd1b697cbb2025-02-03T05:54:26ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/30753903075390Petrović-Type Inequalities for Harmonic h-convex FunctionsImran Abbas Baloch0Yu-Ming Chu1Abdus Salam School of Mathematical Sciences, GC University, Lahore, PakistanDepartment of Mathematics, Huzhou University, Huzhou 313000, ChinaIn the article, we establish several Petrović-type inequalities for the harmonic h-convex (concave) function if h is a submultiplicative (super-multiplicative) function, provide some new majorizaton type inequalities for harmonic convex function, and prove the superadditivity, subadditivity, linearity, and monotonicity properties for the functionals derived from the Petrović type inequalities.http://dx.doi.org/10.1155/2020/3075390 |
| spellingShingle | Imran Abbas Baloch Yu-Ming Chu Petrović-Type Inequalities for Harmonic h-convex Functions Journal of Function Spaces |
| title | Petrović-Type Inequalities for Harmonic h-convex Functions |
| title_full | Petrović-Type Inequalities for Harmonic h-convex Functions |
| title_fullStr | Petrović-Type Inequalities for Harmonic h-convex Functions |
| title_full_unstemmed | Petrović-Type Inequalities for Harmonic h-convex Functions |
| title_short | Petrović-Type Inequalities for Harmonic h-convex Functions |
| title_sort | petrovic type inequalities for harmonic h convex functions |
| url | http://dx.doi.org/10.1155/2020/3075390 |
| work_keys_str_mv | AT imranabbasbaloch petrovictypeinequalitiesforharmonichconvexfunctions AT yumingchu petrovictypeinequalitiesforharmonichconvexfunctions |