Results 171 to 180 of about 634,454 (209)

On corrected Bullen-Simpson's inequality

Bulletin of the Allahabad Mathematical Society, 2006
The aim of this paper is to derive corrected Bullen-Simpson's inequality, starting from corrected Simpson's and dual corrected Simpson'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.
Pečarić, Josip, Franjić, Iva
openaire   +1 more source

Utility-Oriented Simpson-Type Indexes and Inequality Measures

Calcutta Statistical Association Bulletin, 1999
Measures of economic inequality and poverty indexea are generally baaed on the Gini coefficient and some other measures of income inequality. In a broader context of diversity or distributional inequality, there may be a relatively more prominent qualitative flavour, and in view of that, the Gini-Simpaon index may be appropriate.
openaire   +2 more sources

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.
openaire   +3 more sources

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
openaire   +1 more source

A new approach to Simpson‐type inequality with proportional Caputo‐hybrid operator

Mathematical methods in the applied sciences
In this article, we begin by deriving a new identity with the help of twice‐differentiable convex functions for the proportional Caputo‐hybrid operator.
İzzettin Demir, Tuba Tunç
semanticscholar   +1 more source

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
openaire   +3 more sources

FRACTIONAL HERMITE–HADAMARD INEQUALITY, SIMPSON’S AND OSTROWSKI’S TYPE INEQUALITIES FOR CONVEX FUNCTIONS WITH RESPECT TO A PAIR OF FUNCTIONS

Rocky Mountain Journal of Mathematics, 2023
Jianqiang Xie, M. Ali, H. Budak, Michal Feckan, T. Sitthiwirattham   +4 more
semanticscholar   +1 more source

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
openaire   +2 more sources

A generalization of Simpson's inequality via differentiable mapping using extended (s, m)-convex functions

Applied Mathematics and Computation, 2017
T. Du, Yujiao Li, Zhiqiao Yang
semanticscholar   +1 more source

A Family of Newton–Cotes‐Type Inequalities in Multiplicative Calculus With Their Applications to Quadrature Formulas and Numerical Analysis

Mathematical methods in the applied sciences
This study introduces a novel class of the Newton–Cotes‐type inequalities derived from a parameterized identity within the framework of multiplicative calculus.
Abdul Mateen, A. Kashuri, Serap Özcan
semanticscholar   +1 more source