Sugeno Integral for Hermite–Hadamard Inequality and Quasi-Arithmetic Means
In this paper, we present the Sugeno integral of Hermite–Hadamard inequality for the case of quasi-arithmetically convex (q-ac) functions which acts as a generator for all quasi-arithmetic means in the frame work of Sugeno integral.
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2023-09-01
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| Series: | Annales Mathematicae Silesianae |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/amsil-2023-0007 |
| _version_ | 1797674864290562048 |
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| author | Nadhomi Timothy |
| author_facet | Nadhomi Timothy |
| author_sort | Nadhomi Timothy |
| collection | DOAJ |
| description | In this paper, we present the Sugeno integral of Hermite–Hadamard inequality for the case of quasi-arithmetically convex (q-ac) functions which acts as a generator for all quasi-arithmetic means in the frame work of Sugeno integral. |
| first_indexed | 2024-03-11T22:06:23Z |
| format | Article |
| id | doaj.art-dba15902a52d492095ecb5347d634324 |
| institution | Directory Open Access Journal |
| issn | 2391-4238 |
| language | English |
| last_indexed | 2024-03-11T22:06:23Z |
| publishDate | 2023-09-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Annales Mathematicae Silesianae |
| spelling | doaj.art-dba15902a52d492095ecb5347d6343242023-09-25T06:06:48ZengSciendoAnnales Mathematicae Silesianae2391-42382023-09-0137229430510.2478/amsil-2023-0007Sugeno Integral for Hermite–Hadamard Inequality and Quasi-Arithmetic MeansNadhomi Timothy01Institute of Mathematics, University of Silesia in Katowice, Bankowa 14, 40-007KatowicePolandIn this paper, we present the Sugeno integral of Hermite–Hadamard inequality for the case of quasi-arithmetically convex (q-ac) functions which acts as a generator for all quasi-arithmetic means in the frame work of Sugeno integral.https://doi.org/10.2478/amsil-2023-0007hermite–hadamard inequalityquasi-arithmetic meansugeno integral28e1026a5126e6026d1039b62 |
| spellingShingle | Nadhomi Timothy Sugeno Integral for Hermite–Hadamard Inequality and Quasi-Arithmetic Means Annales Mathematicae Silesianae hermite–hadamard inequality quasi-arithmetic mean sugeno integral 28e10 26a51 26e60 26d10 39b62 |
| title | Sugeno Integral for Hermite–Hadamard Inequality and Quasi-Arithmetic Means |
| title_full | Sugeno Integral for Hermite–Hadamard Inequality and Quasi-Arithmetic Means |
| title_fullStr | Sugeno Integral for Hermite–Hadamard Inequality and Quasi-Arithmetic Means |
| title_full_unstemmed | Sugeno Integral for Hermite–Hadamard Inequality and Quasi-Arithmetic Means |
| title_short | Sugeno Integral for Hermite–Hadamard Inequality and Quasi-Arithmetic Means |
| title_sort | sugeno integral for hermite hadamard inequality and quasi arithmetic means |
| topic | hermite–hadamard inequality quasi-arithmetic mean sugeno integral 28e10 26a51 26e60 26d10 39b62 |
| url | https://doi.org/10.2478/amsil-2023-0007 |
| work_keys_str_mv | AT nadhomitimothy sugenointegralforhermitehadamardinequalityandquasiarithmeticmeans |