Results 11 to 20 of about 634,454 (209)
Journal of Mathematics, 2020 The goal of this paper is to derive some new variants of Simpson’s inequality using the class of n-polynomial convex functions of higher order. To obtain the main results of the paper, we first derive a new generalized fractional integral identity ...
Yu-Ming Chu +3 more
doaj +2 more sources
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
openaire +3 more sources
A Sharp Simpson’s Second Type Inequality via Riemann–Liouville Fractional Integrals
Journal of MathematicsThis paper deals with a new sharp version of Simpson’s second inequality by using the concepts of absolute continuity, Grüss inequality, and Chebyshev functionals. To demonstrate the applicability of the main result, three examples are given.
Mohsen Rostamian Delavar
doaj +2 more sources
New bounds for Simpson's inequality
Tamkang Journal of Mathematics, 2002 Some new bounds for Simpson's inequality are derived. These bounds are better than some recently obtained bounds.
N. Ujevic
openaire +4 more sources
On corrected Bullen-Simpson's $3/8$ inequality
Tamkang Journal of Mathematics, 2006 The aim of this paper is to derive corrected Bullen-Simpson's 3/8 inequality, starting from corrected Simpson's 3/8 and corrected Maclaurin's formula. By corrected we mean formulae that approximate the integral not only with the values of the function in certain points but also with the value of the first derivative in end points of the interval. These
Pečarić, Josip, Franjić, Iva
openaire +4 more sources
Extensions of Simpson’s Inequality via Nonnegative Weight Functions and Fractional Operators
Advances in Mathematical PhysicsMSC2020 Classification: 26A09, 26D10, 26D15 ...
Hasan Öğünmez, Mehmet Zeki Sarikaya
doaj +2 more sources
A note about Simpson's Inequality via weighted generalized integrals
Revista Colombiana de MatemáticasIn this work we establish a Simpson-type identity and several Simpson-type inequalities for generalized weighted integrals operators.
Nápoles Valdés, Juan Eduardo +1 more
openaire +2 more sources
Hybrid Integral Inequalities on Fractal Set
AxiomsIn this study, we introduce a new hybrid identity that effectively combines Newton–Cotes and Gauss quadrature, allowing us to recover well-known formulas such as Simpson’s second rule and the left- and right-Radau two-point rules, among others.
Badreddine Meftah +4 more
doaj +2 more sources
More results on Simpson's type inequality through convexity for twice differentiable continuous mappings. [PDF]
Springerplus, 2016 Our aim in this article is to incorporate the notion of “strongly s-convex function” and prove a new integral identity. Some new inequalities of Simpson type for strongly s-convex function utilizing integral identity and Holder’s inequality are ...
Hussain S, Qaisar S.
europepmc +2 more sources
Simpson's paradox: a demographic case study of population dynamics, poverty, and inequality.
Ciência & Saúde Coletiva, 2021 Brazil is undergoing a demographic transition characterized by regional inequalities. It is reasonable to assume that aspects related to poverty, development and inequality might reverse the sign of the association of indicators of demographic transition,
R. Guimarães, F. Andrade
semanticscholar +1 more source