In this work, firstly, we obtain a new identity with some parameters for generalized fractional integrals. Then by utilizing this obtained equality, we establish some new parameterized inequalities for coordinated convex functions via generalized fractional integrals. In addition, in a separate section, we show that the results given in the main section reduce to several trapezoid, midpoint, and Simpson type inequalities for various values of parameters.
In this paper, we first obtain an identity for differentiable mappings. Then, we establish some new generalized inequalities for differentiable convex functions involving some parameters and generalized fractional integrals. We show that these results reduce to several new Simpson-, midpoint- and trapezoid-type inequalities. The results given in this study are the generalizations of results proved in several earlier papers.
We obtain new generalizations of Ostrowski inequality by using generalized Riemann{Liouville fractional integrals. Some special cases are also discussed.
The aim of this paper we establish some new inequalities of Hermite-Hadamard type by using (η 1 , η 2 ) −strongly convex function whose nth derivatives in absolute value at certain powers. Moreover, we also consider their relevances for other related known results.
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