Generalized Convex Function and Associated Petrovic’s Inequality
In this paper, Petrovi´c’s inequality is generalized for h−convex functions, when h is supermultiplicative function. It is noted that the case for h−convex functions does not lead the particular cases for P −function, Godunova-Levin functions, s−Godunova-Levin functions and s−convex functions due to...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2019-01-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://www.etamaths.com/index.php/ijaa/article/view/1788 |
| _version_ | 1818941968325017600 |
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| author | A. Ur. Rehman G. Farid Vishnu Narayan Mishra |
| author_facet | A. Ur. Rehman G. Farid Vishnu Narayan Mishra |
| author_sort | A. Ur. Rehman |
| collection | DOAJ |
| description | In this paper, Petrovi´c’s inequality is generalized for h−convex functions, when h is supermultiplicative function. It is noted that the case for h−convex functions does not lead the particular cases for P −function, Godunova-Levin functions, s−Godunova-Levin functions and s−convex functions due to the conditions imposed on h. To cover the case, when h is submultiplicative, Petrovi´c’s inequality is generalized for h−concave functions. |
| first_indexed | 2024-12-20T07:03:58Z |
| format | Article |
| id | doaj.art-80d8b1cd48614c8fbf6192e210b6d5bc |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-12-20T07:03:58Z |
| publishDate | 2019-01-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-80d8b1cd48614c8fbf6192e210b6d5bc2022-12-21T19:49:08ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392019-01-01171122131359Generalized Convex Function and Associated Petrovic’s InequalityA. Ur. RehmanG. FaridVishnu Narayan MishraIn this paper, Petrovi´c’s inequality is generalized for h−convex functions, when h is supermultiplicative function. It is noted that the case for h−convex functions does not lead the particular cases for P −function, Godunova-Levin functions, s−Godunova-Levin functions and s−convex functions due to the conditions imposed on h. To cover the case, when h is submultiplicative, Petrovi´c’s inequality is generalized for h−concave functions.http://www.etamaths.com/index.php/ijaa/article/view/1788 |
| spellingShingle | A. Ur. Rehman G. Farid Vishnu Narayan Mishra Generalized Convex Function and Associated Petrovic’s Inequality International Journal of Analysis and Applications |
| title | Generalized Convex Function and Associated Petrovic’s Inequality |
| title_full | Generalized Convex Function and Associated Petrovic’s Inequality |
| title_fullStr | Generalized Convex Function and Associated Petrovic’s Inequality |
| title_full_unstemmed | Generalized Convex Function and Associated Petrovic’s Inequality |
| title_short | Generalized Convex Function and Associated Petrovic’s Inequality |
| title_sort | generalized convex function and associated petrovic s inequality |
| url | http://www.etamaths.com/index.php/ijaa/article/view/1788 |
| work_keys_str_mv | AT aurrehman generalizedconvexfunctionandassociatedpetrovicsinequality AT gfarid generalizedconvexfunctionandassociatedpetrovicsinequality AT vishnunarayanmishra generalizedconvexfunctionandassociatedpetrovicsinequality |