Results 1 to 10 of about 72 (61)
A companion to Jensen-Steffensen's inequality [PDF]
Journal of Approximation Theory, 1985 Suppose that f is a convex function on (a,b).
Pečarić, Josip E
core +2 more sources
Improvement of Jensen--Steffensen's inequality for superquadratic functions
Banach Journal of Mathematical Analysis, 2010 In this paper, improvements for superquadratic functions of Jensen-Steffensen's and related inequalities are discussed. For superquadratic functions which are not convex we get inequalities analog to Jensen-Steffensen's inequality for convex functions. For superquadratic functions which are convex (including many useful functions), we get improvements ...
Josip E. Pecaric +2 more
core +6 more sources
A variant of Jensen–Steffensen's inequality and quasi-arithmetic means [PDF]
Journal of Mathematical Analysis and Applications, 2005 A variant of Jensen–Steffensen's inequality is proved. Necessary and sufficient conditions for the equality in Jensen–Steffensen's inequality are established.
Abramovich, S. +3 more
core +4 more sources
Generalized Jensen-Steffensen and related inequalities [PDF]
Journal of Mathematical Inequalities, 2015 We introduce a new tool for comparing two linear functionals that are positive on convex functions. We generalize Jensen-Steffensen and related inequalities.
Jakšetić, Julije +2 more
openaire +2 more sources
Jensen-Steffensen's and related inequalities for superquadratic functions [PDF]
Mathematical inequalities & applications, 2008 Refinements of Jensen-Steffensen's inequality, Slater-Pečarić's inequality and majorization theorems for superquadratic functions are presented.
Pečarić, Josip +2 more
openaire +3 more sources
Computation of Generalized Averaged Gaussian Quadrature Rules [PDF]
, 2022 The estimation of the quadrature error of a Gauss quadrature rule when applied to the approximation of an integral determined by a real-valued integrand and a real-valued nonnegative measure with support on the real axis is an important problem in ...
Spalević, Miodrag
core
The Jensen-Steffensen inequality [PDF]
Mathematical Inequalities & Applications, 1998 New proofs of the Jensen-Steffensen and its inverse inequality given by the reviewer are presented.
openaire +2 more sources
Jensen–Steffensen inequality for strongly convex functions [PDF]
Journal of Inequalities and Applications, 2018 The Jensen inequality for convex functions holds under the assumption that all of the included weights are nonnegative. If we allow some of the weights to be negative, such an inequality is called the Jensen-Steffensen inequality for convex functions. In this paper we prove the Jensen-Steffensen inequality for strongly convex functions.
openaire +6 more sources
On the refinements of the Jensen-Steffensen inequality [PDF]
Journal of Inequalities and Applications, 2011 Abstract In this paper, we extend some old and give some new refinements of the Jensen-Steffensen inequality. Further, we investigate the log-convexity and the exponential convexity of functionals defined via these inequalities and prove monotonicity property of the generalized Cauchy means obtained via these functionals.
Iva Franjić +2 more
openaire +2 more sources
On the refinements of the integral Jensen-Steffensen inequality [PDF]
Journal of Inequalities and Applications, 2013 Dans cet article, nous présentons des versions intégrales de certains résultats récemment prouvés qui affinent l'inégalité de Jensen-Steffensen. Nous prouvons la convexité n-exponentielle et la log-convexité des fonctions associées aux fonctions linéaires construites à partir des inégalités raffinées et prouvons également la propriété de monotonie des ...
Sadia Khalid, Josip Pečarić
openaire +2 more sources