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Simpson type inequalities for Q- class functions [PDF]
AIP Conference Proceedings, 2012 4 ...
GÜRBÜZ, MUSTAFA +3 more
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Advances in Difference Equations, 2021 In this paper, we offer a new quantum integral identity, the result is then used to obtain some new estimates of Hermite–Hadamard inequalities for quantum integrals. The results presented in this paper are generalizations of the comparable results in the
Yi-Xia Li +4 more
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On Simpson's inequality and applications [PDF]
Journal of Inequalities and Applications, 2000 This is a survey paper on recent developments on Simpson's inequality, Simpson's quadrature formula and various related results. The following theorem is typical: Let \(f: [a,b]\to\mathbb{R}\) be of bounded variation on \([a,b]\). Then \[ \Biggl|\int^b_a f(x) dx- {b-a\over 6} \Biggl[ f(a)+ 4f\Biggl({a+ b\over 2}\Biggr)+ f(b)\Biggr]\Biggr|\leq {1\over 3}
Dragomir, Sever S +2 more
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Advances in Difference Equations, 2021 In this study, we prove an identity for twice partially differentiable mappings involving the double generalized fractional integral and some parameters.
Hüseyin Budak +2 more
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Frontiers in Psychology, 2021 Although distributional inequality and concentration are important statistical concepts in many research fields (including economics, political and social science, information theory, and biology and ecology), they rarely are considered in psychological ...
Ulrich S. Tran +5 more
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Simpson’s Integral Inequalities for Twice Differentiable Convex Functions [PDF]
Mathematical Problems in Engineering, 2020 Integral inequality is an interesting mathematical model due to its wide and significant applications in mathematical analysis and fractional calculus. In the present research article, we obtain new inequalities of Simpson’s integral type based on theφ-convex andφ-quasiconvex functions in the second derivative sense.
Miguel Vivas-Cortez +3 more
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Bounds for the Error in Approximating a Fractional Integral by Simpson’s Rule
Mathematics, 2023 Simpson’s rule is a numerical method used for approximating the definite integral of a function. In this paper, by utilizing mappings whose second derivatives are bounded, we acquire the upper and lower bounds for the Simpson-type inequalities by means ...
Hüseyin Budak +3 more
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Simpson Type Conformable Fractional Inequalities
Journal of Function Spaces, 2022 In this study, a new Simpson type conformable fractional integral equality for convex functions is established. Based on this identity, some results related to Simpson-like type inequalities are obtained. Also, some estimation results are given for the special cases of the derivative of a function used in our results, and some applications are ...
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New Majorized Fractional Simpson Estimates
Axioms, 2023 Fractional calculus has been a concept used to acquire new variants of some well-known integral inequalities. In this study, our primary goal is to develop majorized fractional Simpson’s type estimates by employing a differentiable function.
Xiaoye Ding +4 more
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Ostrowski and Simpson type inequalities for multiplicative integrals
Proyecciones (Antofagasta), 2021 In this paper, we firstly obtain two identities for multiplicative differentiable functions. Then by using these identities, we establish Ostrowski and Simpson type inequalities for multiplicative integrals. At the end we give detail applications of our main results.
Muhammad Aamir Ali +3 more
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