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http://hdl.handle.net/11452/34421| Title: | Several integral inequalities for (α, s, m) -convex functions |
| Authors: | Butt, Saad I. Nasir, Jamshed Uludağ Üniversitesi/Eğitim Fakültesi/Matematik ve Fen Bilimleri Eğitimi Bölümü. 0000-0001-7594-8291 Özdemir, M. Emin Bayraktar, Bahtiyar AAH-1091-2021 ABI-7823-2020 22734889600 55320522100 |
| Keywords: | Mathematics Convex function (Alpha, s, m)-convex function Hermite-hadamard inequality Riemann-liouville fractional integrals Holder's inequality Power mean inequality Psi-gamma functions Hermite-hadamard-typem)-convex (Alpha (S |
| Issue Date: | 2020 |
| Publisher: | American Institute of Mathematical Sciences |
| Citation: | Özdemir, M. E. vd. (2020). "Several integral inequalities for (α, s, m) -convex functions". AIMS Mathematics, 5(4), 3906-3921. |
| Abstract: | In this paper, we establish several new integral inequalities for (alpha, s, m)-convex functions. We recapture the Hermite-Hadamard inequality as a particular case. In order to obtain our results, we use classical inequalities such as Holder inequality, Holder-Iscan inequality and Power mean inequality. We formulate several bounds involving special functions like classical Euler-Gamma, Beta and Psi-Gamma functions. We also give some applications. |
| URI: | https://doi.org/10.3934/math.2020253 https://www.aimspress.com/article/doi/10.3934/math.2020253?viewType=HTML http://hdl.handle.net/11452/34421 |
| ISSN: | 2473-6988 |
| Appears in Collections: | Scopus Web of Science |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Özdemir_vd_2020.pdf | 255.49 kB | Adobe PDF |  View/Open |
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