Hermite-Hadamard and Ostrowski type inequalities via -exponential type convex functions with applications
This paper introduced and investigated a new form of convex mapping known as $ \alpha $-exponential type convexity. We presented several algebraic properties associated with this newly introduced convexity. Additionally, we established novel adaptations of well-known inequalities, including the Herm...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2024-03-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://aimspress.com/article/doi/10.3934/math.2024465?viewType=HTML |
| _version_ | 1797254134536077312 |
|---|---|
| author | Attazar Bakht Matloob Anwar |
| author_facet | Attazar Bakht Matloob Anwar |
| author_sort | Attazar Bakht |
| collection | DOAJ |
| description | This paper introduced and investigated a new form of convex mapping known as $ \alpha $-exponential type convexity. We presented several algebraic properties associated with this newly introduced convexity. Additionally, we established novel adaptations of well-known inequalities, including the Hermite-Hadamard and Ostrowski-type inequalities, specifically for this convex function. We also derived special cases of these newly established results. Furthermore, we provided new estimations for the trapezoidal formula, demonstrating practical applications of this research. |
| first_indexed | 2024-04-24T21:45:08Z |
| format | Article |
| id | doaj.art-cc7dd016444746d78de2062b893a2cab |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-24T21:45:08Z |
| publishDate | 2024-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-cc7dd016444746d78de2062b893a2cab2024-03-21T01:15:54ZengAIMS PressAIMS Mathematics2473-69882024-03-01949519953510.3934/math.2024465Hermite-Hadamard and Ostrowski type inequalities via -exponential type convex functions with applicationsAttazar Bakht 0Matloob Anwar1Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, H-12, Islamabad, PakistanDepartment of Mathematics, School of Natural Sciences, National University of Sciences and Technology, H-12, Islamabad, PakistanThis paper introduced and investigated a new form of convex mapping known as $ \alpha $-exponential type convexity. We presented several algebraic properties associated with this newly introduced convexity. Additionally, we established novel adaptations of well-known inequalities, including the Hermite-Hadamard and Ostrowski-type inequalities, specifically for this convex function. We also derived special cases of these newly established results. Furthermore, we provided new estimations for the trapezoidal formula, demonstrating practical applications of this research.https://aimspress.com/article/doi/10.3934/math.2024465?viewType=HTMLhermite hadamard inequalityexponential type convexityostrowski inequalityconvex functionholder's inequality |
| spellingShingle | Attazar Bakht Matloob Anwar Hermite-Hadamard and Ostrowski type inequalities via -exponential type convex functions with applications AIMS Mathematics hermite hadamard inequality exponential type convexity ostrowski inequality convex function holder's inequality |
| title | Hermite-Hadamard and Ostrowski type inequalities via -exponential type convex functions with applications |
| title_full | Hermite-Hadamard and Ostrowski type inequalities via -exponential type convex functions with applications |
| title_fullStr | Hermite-Hadamard and Ostrowski type inequalities via -exponential type convex functions with applications |
| title_full_unstemmed | Hermite-Hadamard and Ostrowski type inequalities via -exponential type convex functions with applications |
| title_short | Hermite-Hadamard and Ostrowski type inequalities via -exponential type convex functions with applications |
| title_sort | hermite hadamard and ostrowski type inequalities via exponential type convex functions with applications |
| topic | hermite hadamard inequality exponential type convexity ostrowski inequality convex function holder's inequality |
| url | https://aimspress.com/article/doi/10.3934/math.2024465?viewType=HTML |
| work_keys_str_mv | AT attazarbakht hermitehadamardandostrowskitypeinequalitiesviaexponentialtypeconvexfunctionswithapplications AT matloobanwar hermitehadamardandostrowskitypeinequalitiesviaexponentialtypeconvexfunctionswithapplications |