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The role of causal reasoning in understanding Simpson's paradox, Lord's paradox, and the suppression effect: covariate selection in the analysis of observational studies [PDF]
, 2008 Tu et al present an analysis of the equivalence of three paradoxes, namely, Simpson's, Lord's, and the suppression phenomena. They conclude that all three simply reiterate the occurrence of a change in the association of any two variables when a third ...
Onyebuchi A Arah
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Simpson’s type inequalities for exponentially convex functions with applications
Open Journal of Mathematical Analysis, 2021 The Simpson's inequality cannot be applied to a function that is twice differentiable but not four times differentiable or have a bounded fourth derivative in the interval under consideration.
Yenny Rangel-Oliveros, E. Nwaeze
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Symmetry, 2021 Numerical approximations of definite integrals and related error estimations can be made using Simpson’s rules (inequalities). There are two well-known rules: Simpson’s 13 rule or Simpson’s quadrature formula and Simpson’s 38 rule or Simpson’s second ...
M. R. Delavar, A. Kashuri, M. Sen
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Multiplicatively Simpson Type Inequalities via Fractional Integral
Symmetry, 2023 Multiplicative calculus, also called non-Newtonian calculus, represents an alternative approach to the usual calculus of Newton (1643–1727) and Leibniz (1646–1716). This type of calculus was first introduced by Grossman and Katz and it provides a defined calculation, from the start, for positive real numbers only.
Abdelkader Moumen +6 more
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Analysis On Simpson's Type Inequalities Through Generalized Convexity with Applications [PDF]
Sahand Communications in Mathematical AnalysisFractional operators and integral inequalities have become a focal point of research due to their applications in mathematics, physics, engineering, and applied sciences.
Arslan Munir, Artion Kashuri
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Some Bullen-Simpson type inequalities for differentiable s-convex functions [PDF]
Mathematica MoravicaConvexity is one of the fundamental principles of analysis. Over the past few decades, many important inequalities have been established for different classes of convex functions.
Meftah Badreddine, Samoudi Sara
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Bio-Ecological Diversity vs. Socio-Economic Diversity: A Comparison of Existing Measures [PDF]
, 2003 This paper aims to enrich the standard toolbox for measuring diversity in economics. In so doing, we compare the indicators of diversity used by economists with those used by biologists and ecologists.
Maignan, Carole +3 more
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Fractional Multiplicative Corrected Dual-Simpson type inequalities
Journal of Fractional Calculus and Nonlinear Systems, 2023 This paper delves into the realm of inequalities, focusing on the corrected dual Simpson-type inequalities for fractional multiplicative integrals. Based on a new identity, we establishe some new inequalities via multiplicative s-convexity. Finaly, we provide some applications of the obtained results to special means in the frame of multiplicative ...
Badreddine Meftah +2 more
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Journal of Inequalities and Applications, 2013 In this paper, we establish some new inequalities of Simpson’s type based on (α,m)-convexity for differentiable mappings. This contributes to new better estimates than presented already.
S. Qaisar, Chuanjiang He, S. Hussain
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A note on Simpson's inequality for functions of bounded variation
, 2000 Inequalities of Simpson's type for functions whose $n$-th derivative, $ n\in\{0,1,2,3\}$ is of bounded variation are given.
J. Pečarić, S. Varošanec
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