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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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