DOAJ Open Access 2024

New Grüss’s inequalities estimates considering the φ-fractional integrals

Saleh S. Redhwan Tariq A. Aljaaidi Ali Hasan Ali Maryam Ahmed Alyami Mona Alsulami +1 lainnya

Abstrak

Careful study of applied sciences and their development requires us to expand the scope of analytical studies. We aim during introducing the current manuscript to rediscover and present Grüss inequality in a new framework. In order to do that, we use the recently generalized proportional fractional integral operator for a certain function with respect to another continuous and strictly increasing function. Furthermore, we prove some new related inequalities using the current fractional integral operator. Some special cases of the presented results will be discussed.

Topik & Kata Kunci

Applied mathematics. Quantitative methods

Penulis (6)

Saleh S. Redhwan

Tariq A. Aljaaidi

Ali Hasan Ali

Maryam Ahmed Alyami

Mona Alsulami

Najla Alghamdi

Format Sitasi

APA MLA BibTeX

Redhwan, S.S., Aljaaidi, T.A., Ali, A.H., Alyami, M.A., Alsulami, M., Alghamdi, N. (2024). New Grüss’s inequalities estimates considering the φ-fractional integrals. https://doi.org/10.1016/j.padiff.2024.100836

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Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.1016/j.padiff.2024.100836
Akses: Open Access ✓