Quantum Ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus
In: Open Mathematics, Jg. 19 (2021), Heft 1, S. 440-449
Online
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Zugriff:
In this paper, we first prove an identity for twice quantum differentiable functions. Then, by utilizing the convexity of ∣ D q 2 b f ∣ | {}^{b}D_{q}^{2}\hspace{0.08em}f| and ∣ D q 2 a f ∣ | {}_{a}D_{q}^{2}\hspace{0.08em}f| , we establish some quantum Ostrowski inequalities for twice quantum differentiable mappings involving q a {q}_{a} and q b {q}^{b} -quantum integrals. The results presented here are the generalization of already published ones.
| Titel: |
Quantum Ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus
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| Autor/in / Beteiligte Person: | Chu, Yu-Ming ; Budak, Hüseyin ; Akkurt, Abdullah ; Ali, Muhammad ; [Belirlenecek] |
| Link: | |
| Zeitschrift: | Open Mathematics, Jg. 19 (2021), Heft 1, S. 440-449 |
| Veröffentlichung: | Walter de Gruyter GmbH, 2021 |
| Medientyp: | unknown |
| ISSN: | 2391-5455 (print) |
| DOI: | 10.1515/math-2021-0020 |
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