Hermite-Hadamard inequality for new generalized conformable fractional operators
| Autor: | Muhammad Adil Khan, Tahir Ullah Khan |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Pure mathematics
conformable integral Inequality hermite-hadamard inequality General Mathematics media_common.quotation_subject lcsh:Mathematics riemann-liouville operators Conformable matrix lcsh:QA1-939 Riemann hypothesis symbols.namesake Identity (mathematics) Section (category theory) generalized conformable fractional operators Hadamard transform Hermite–Hadamard inequality symbols Mathematics media_common |
| Zdroj: | AIMS Mathematics, Vol 6, Iss 1, Pp 23-38 (2021) |
| ISSN: | 2473-6988 |
| DOI: | 10.3934/math.2021002/fulltext.html |
| Popis: | This paper is concerned to establish an advanced form of the well-known Hermite-Hadamard (HH) inequality for recently-defined Generalized Conformable (GC) fractional operators. This form of the HH inequality combines various versions (new and old) of this inequality, containing operators of the types Katugampula, Hadamard, Riemann-Liouville, conformable and Riemann, into a single form. Moreover, a novel identity containing the new GC fractional integral operators is proved. By using this identity, a bound for the absolute of the difference between the two rightmost terms in the newly-established Hermite-Hadamard inequality is obtained. Also, some relations of our results with the already existing results are presented. Conclusion and future works are presented in the last section. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|