Please use this identifier to cite or link to this item: http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/4727
Title: On generalized Milne type inequalities for new conformable fractional integrals
Authors: Celika, Baris
Budakb, Huseyin
Seta, Erhan
Ordu Üniversitesi
Keywords: Milne type inequalities, Convex function, Conformable fractional integrals, Bounded function, Function of bounded variation
SIMPSONS TYPE INEQUALITIES, CONVEX-FUNCTIONS
Issue Date: 2024
Publisher: UNIV NIS, FAC SCI MATH-NIS
Citation: Çelika, B., Budakb, H., Seta, E. (2024). On generalized Milne type inequalities for new conformable fractional integrals. Filomat, 38(5), 1807-1823. https://doi.org/10.2298/FIL2405807C
Abstract: In this study, we first obtained a new identity for differentiable convex functions with the help of new conformable fractional integrals. Then, using this identity, we proved new Milne-type inequalities for new conformable fractional integrals. In the proofs, we used convexity, Ho center dot lder's inequality and mean power inequality, respectively. In other chapters, we have presented new inequalities for bounded functions, Lipschitzian Functions and functions of bounded variation. The findings of this article are reduced to previously established results in specific cases.
Description: WoS Categories: Mathematics, Applied; Mathematics
Web of Science Index: Science Citation Index Expanded (SCI-EXPANDED)
Research Areas: Mathematics
URI: http://dx.doi.org/10.2298/FIL2405807C
https://www.webofscience.com/wos/woscc/full-record/WOS:001126593200001
http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/4727
ISSN: 0354-5180
Appears in Collections:Matematik

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