Some local fractional inequalities involving fractal sets via generalized exponential (s,m)-convexity
Research in this paper aims to explore the concept of generalized exponentially (s,m)-convex functions, and to determine some properties of these functions. In addition, we look at some interactions between generalized exponentially (s,m)-convex functions and local fractional integrals. The properti...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Published: |
Multidisciplinary Digital Publishing Institute
2023
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/109163/ |
| _version_ | 1848865299642712064 |
|---|---|
| author | Saleh, Wedad Kılıçman, Adem |
| author_facet | Saleh, Wedad Kılıçman, Adem |
| author_sort | Saleh, Wedad |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Research in this paper aims to explore the concept of generalized exponentially (s,m)-convex functions, and to determine some properties of these functions. In addition, we look at some interactions between generalized exponentially (s,m)-convex functions and local fractional integrals. The properties of the generalized new special cases of (s,m)-convex functions, s-convex functions, and also generalized m-convex functions are impressive. We derive some inequalities of Hadamard’s type for generalized exponentially (s,m)-convex functions, and give applications in probability density functions and generalized special methods to attest to the applicability and efficiency of the method under consideration. |
| first_indexed | 2025-11-15T14:02:30Z |
| format | Article |
| id | upm-109163 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T14:02:30Z |
| publishDate | 2023 |
| publisher | Multidisciplinary Digital Publishing Institute |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1091632024-08-28T04:11:42Z http://psasir.upm.edu.my/id/eprint/109163/ Some local fractional inequalities involving fractal sets via generalized exponential (s,m)-convexity Saleh, Wedad Kılıçman, Adem Research in this paper aims to explore the concept of generalized exponentially (s,m)-convex functions, and to determine some properties of these functions. In addition, we look at some interactions between generalized exponentially (s,m)-convex functions and local fractional integrals. The properties of the generalized new special cases of (s,m)-convex functions, s-convex functions, and also generalized m-convex functions are impressive. We derive some inequalities of Hadamard’s type for generalized exponentially (s,m)-convex functions, and give applications in probability density functions and generalized special methods to attest to the applicability and efficiency of the method under consideration. Multidisciplinary Digital Publishing Institute 2023-01-19 Article PeerReviewed Saleh, Wedad and Kılıçman, Adem (2023) Some local fractional inequalities involving fractal sets via generalized exponential (s,m)-convexity. Axioms, 12 (2). art. no. 106. pp. 1-17. ISSN 2075-1680 https://www.mdpi.com/2075-1680/12/2/106 10.3390/axioms12020106 |
| spellingShingle | Saleh, Wedad Kılıçman, Adem Some local fractional inequalities involving fractal sets via generalized exponential (s,m)-convexity |
| title | Some local fractional inequalities involving fractal sets via generalized exponential (s,m)-convexity |
| title_full | Some local fractional inequalities involving fractal sets via generalized exponential (s,m)-convexity |
| title_fullStr | Some local fractional inequalities involving fractal sets via generalized exponential (s,m)-convexity |
| title_full_unstemmed | Some local fractional inequalities involving fractal sets via generalized exponential (s,m)-convexity |
| title_short | Some local fractional inequalities involving fractal sets via generalized exponential (s,m)-convexity |
| title_sort | some local fractional inequalities involving fractal sets via generalized exponential (s,m)-convexity |
| url | http://psasir.upm.edu.my/id/eprint/109163/ http://psasir.upm.edu.my/id/eprint/109163/ http://psasir.upm.edu.my/id/eprint/109163/ |