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...
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| Format: | Article |
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Multidisciplinary Digital Publishing Institute
2023
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| _version_ | 1811137886319280128 |
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| author | Saleh, Wedad Kılıçman, Adem |
| author_facet | Saleh, Wedad Kılıçman, Adem |
| author_sort | Saleh, Wedad |
| collection | UPM |
| 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 | 2024-09-25T03:41:25Z |
| format | Article |
| id | upm.eprints-109163 |
| institution | Universiti Putra Malaysia |
| last_indexed | 2024-09-25T03:41:25Z |
| publishDate | 2023 |
| publisher | Multidisciplinary Digital Publishing Institute |
| record_format | dspace |
| spelling | upm.eprints-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 |
| work_keys_str_mv | AT salehwedad somelocalfractionalinequalitiesinvolvingfractalsetsviageneralizedexponentialsmconvexity AT kılıcmanadem somelocalfractionalinequalitiesinvolvingfractalsetsviageneralizedexponentialsmconvexity |