Refinement of Midpoint and Trapezoid Type Inequalities for Multiplicatively Convex Functions
In this study, we first establish two new identities for multiplicative differentiable functions. Based on these identities, we derive the midpoint and trapezoid type inequalities. The acquired outcomes improve and refine upon Khan and Budak's findings. At the conclusion, some applications to s...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Maragheh
2024-07-01
|
| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_712164_5a335856e7c1b6428678a97ad0168d57.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1823859414557261824 |
|---|---|
| author | Amel Berhail Badreddine Meftah |
| author_facet | Amel Berhail Badreddine Meftah |
| author_sort | Amel Berhail |
| collection | DOAJ |
| description | In this study, we first establish two new identities for multiplicative differentiable functions. Based on these identities, we derive the midpoint and trapezoid type inequalities. The acquired outcomes improve and refine upon Khan and Budak's findings. At the conclusion, some applications to special means are provided. |
| format | Article |
| id | doaj-art-9bc357f1500a429cbe85103c06a06a71 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-9bc357f1500a429cbe85103c06a06a712025-02-11T05:27:31ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-07-0121326727810.22130/scma.2023.2015455.1529712164Refinement of Midpoint and Trapezoid Type Inequalities for Multiplicatively Convex FunctionsAmel Berhail0Badreddine Meftah1Department of Mathematics, Faculty of Mathematics, Computer Science and Sciences Matter, 08 May 1945 University, Guelma, Algeria.Department of Mathematics, Faculty of Mathematics, Computer Science and Sciences Matter, 08 May 1945 University, Guelma, Algeria.In this study, we first establish two new identities for multiplicative differentiable functions. Based on these identities, we derive the midpoint and trapezoid type inequalities. The acquired outcomes improve and refine upon Khan and Budak's findings. At the conclusion, some applications to special means are provided.https://scma.maragheh.ac.ir/article_712164_5a335856e7c1b6428678a97ad0168d57.pdfnon-newtonian calculusmidpoint inequalitytrapezoid inequalitymultiplicatively convex functions |
| spellingShingle | Amel Berhail Badreddine Meftah Refinement of Midpoint and Trapezoid Type Inequalities for Multiplicatively Convex Functions Sahand Communications in Mathematical Analysis non-newtonian calculus midpoint inequality trapezoid inequality multiplicatively convex functions |
| title | Refinement of Midpoint and Trapezoid Type Inequalities for Multiplicatively Convex Functions |
| title_full | Refinement of Midpoint and Trapezoid Type Inequalities for Multiplicatively Convex Functions |
| title_fullStr | Refinement of Midpoint and Trapezoid Type Inequalities for Multiplicatively Convex Functions |
| title_full_unstemmed | Refinement of Midpoint and Trapezoid Type Inequalities for Multiplicatively Convex Functions |
| title_short | Refinement of Midpoint and Trapezoid Type Inequalities for Multiplicatively Convex Functions |
| title_sort | refinement of midpoint and trapezoid type inequalities for multiplicatively convex functions |
| topic | non-newtonian calculus midpoint inequality trapezoid inequality multiplicatively convex functions |
| url | https://scma.maragheh.ac.ir/article_712164_5a335856e7c1b6428678a97ad0168d57.pdf |
| work_keys_str_mv | AT amelberhail refinementofmidpointandtrapezoidtypeinequalitiesformultiplicativelyconvexfunctions AT badreddinemeftah refinementofmidpointandtrapezoidtypeinequalitiesformultiplicativelyconvexfunctions |