Some parameterized Simpson-, midpoint- and trapezoid-type inequalities for generalized fractional integrals

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چکیده

Abstract In this paper, we first obtain an identity for differentiable mappings. Then, establish some new generalized inequalities convex functions involving parameters and fractional integrals. We show that these results reduce to several Simpson-, midpoint- trapezoid-type inequalities. The given in study are the generalizations of proved earlier papers.

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ژورنال

عنوان ژورنال: Journal of Inequalities and Applications

سال: 2022

ISSN: ['1025-5834', '1029-242X']

DOI: https://doi.org/10.1186/s13660-022-02773-5