Yayın: Inequalities of the 3/8-simpson type for differentiable functions via generalized fractional operators
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Yazarlar
Bayraktar, B.
Gömez, L.
Napoles, J. E.
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Yayıncı:
Petrozavodsk state univ
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Özet
Simpson-type inequalities are an important tool in mathematical analysis, particularly in the study of integrals. In this paper, we present new generalized 3/8-Simpson-type inequalities for functions whose first derivative modulus is (h, m)-convex and satisfies the Lipschitz condition via weight integral operators. To obtain these results, we use a new integral identity established in our study. This research generalizes, extends, and complements the results in the literature.
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Konusu
Simpson-like inequalities, Integral-inequalities, Convex-functions, S-convex, Derivatives, Convex function, Simpson-type inequality, Weighted integral operator, Holder inequality, Power mean inequality, Young inequality, Lipschitz function, Science & Technology, Physical Sciences, Mathematics