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Double integral inequalities of Simpson type and applications

Journal of Applied Mathematics and Computing, 2004
Double integral inequalities of Simpson type are obtained. These inequalities are sharp. Applications in numerical integration are given.
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WEIGHTED HERMITE-HADAMARD AND SIMPSON TYPE INEQUALITIES FOR DOUBLE INTEGRALS

2018
In this paper, the authors derive and prove a weighted identity for twice partially differenciable mapping. In addition, the derived identity was used to establish a weighted Hermite-Hadamard-type inequality for co-ordinated convex functions on \(\mathbb{R^2}\).
Budak, HÜSEYİN, Ertugral, F., Sarikaya, M. Zeki +2 more
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Generalized Simpson Type Integral Inequalities

2019
In this paper, we have established some generalized Simpson type inequalities for convex functions. Furthermore, inequalities obtained in special case present a refinement and improvement of previously known results.
SARIKAYA, Mehmet Zeki, BARDAK, Sakine
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Simpson's type inequality for \(F\)-convex function

2017
Summary: In this paper, we obtain a Simpson's type inequality for the function whose second derivatives absolute values are \(F\)-convex. Then, we give some special cases of the mappings \(F\).
Sarikaya, Mehmet Zeki, Budak, HÜSEYİN, Tunc, Tuba +2 more
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A Note on Fractional Simpson Type Inequalities for Twice Differentiable Functions

Mathematica Slovaca, 2023
ABSTRACT In this paper, an equality is proved for twice differentiable convex functions involving Riemann–Liouville fractional integral. With the help of this equality, there are established several fractional Simpson type inequalities for functions whose second derivatives in absolute value are convex. By using special cases of the main
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