Exponential Convex Functions with Respect to $s$
In this paper, we study the concept of exponential convex functions with respect to $s$ and prove Hermite-Hadamard type inequalities for the newly introduced this class of functions. In addition, we get some refinements of the Hermite-Hadamard (H-H) inequality for functions whose first derivative...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Maragheh
2024-03-01
|
| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_709698_78f718b92f6601439e91086bf4cb33d4.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1823859400180236288 |
|---|---|
| author | Mahir Kadakal |
| author_facet | Mahir Kadakal |
| author_sort | Mahir Kadakal |
| collection | DOAJ |
| description | In this paper, we study the concept of exponential convex functions with respect to $s$ and prove Hermite-Hadamard type inequalities for the newly introduced this class of functions. In addition, we get some refinements of the Hermite-Hadamard (H-H) inequality for functions whose first derivative in absolute value, raised to a certain power which is greater than one, respectively at least one, is exponential convex with respect to $s$. Our results coincide with the results obtained previously in special cases. |
| format | Article |
| id | doaj-art-6dbb8ea60a64486fa28017fa562ff30f |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-6dbb8ea60a64486fa28017fa562ff30f2025-02-11T05:24:46ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-03-0121227528710.22130/scma.2023.1999303.1281709698Exponential Convex Functions with Respect to $s$Mahir Kadakal0Bayburt University, Faculty of Applied Sciences, Department of Customs Management, Baberti Campus, 69000, Bayburt-Turkey.In this paper, we study the concept of exponential convex functions with respect to $s$ and prove Hermite-Hadamard type inequalities for the newly introduced this class of functions. In addition, we get some refinements of the Hermite-Hadamard (H-H) inequality for functions whose first derivative in absolute value, raised to a certain power which is greater than one, respectively at least one, is exponential convex with respect to $s$. Our results coincide with the results obtained previously in special cases.https://scma.maragheh.ac.ir/article_709698_78f718b92f6601439e91086bf4cb33d4.pdfconvex functionexponential convex functions with respect to shermite-hadamard inequality |
| spellingShingle | Mahir Kadakal Exponential Convex Functions with Respect to $s$ Sahand Communications in Mathematical Analysis convex function exponential convex functions with respect to s hermite-hadamard inequality |
| title | Exponential Convex Functions with Respect to $s$ |
| title_full | Exponential Convex Functions with Respect to $s$ |
| title_fullStr | Exponential Convex Functions with Respect to $s$ |
| title_full_unstemmed | Exponential Convex Functions with Respect to $s$ |
| title_short | Exponential Convex Functions with Respect to $s$ |
| title_sort | exponential convex functions with respect to s |
| topic | convex function exponential convex functions with respect to s hermite-hadamard inequality |
| url | https://scma.maragheh.ac.ir/article_709698_78f718b92f6601439e91086bf4cb33d4.pdf |
| work_keys_str_mv | AT mahirkadakal exponentialconvexfunctionswithrespecttos |