Results 1 to 10 of about 586 (111)

Some improvements and generalizations of Steffensen’s integral inequality

Applied Mathematics and Computation, 2007
Hari Mohan Srivastava
exaly  

Mercer and Wu–Srivastava generalisations of Steffensen’s inequality

Applied Mathematics and Computation, 2013
Josip E Pečarić
exaly  

Generalization of the Jensen-Steffensen inequality and majorization in the context of divided differences

In this paper majorization theorems specifically formulated for divided differences are introduced and thoroughly discussed. A refined version of the Jensen-Steffensen inequality for divided differences is also derived, employing a novel approach to demonstrate the Jensen-Steffensen conditions.
openaire  

Steffensen inequality, higher order convexity and exponential convexity

Rendiconti Del Circolo Matematico Di Palermo, 2014
Julije Jakšetić, Josip E Pečarić
exaly  

On Some General Inequalities Related to Jensen’s Inequality

International Series of Numerical Mathematics, 2008
exaly  

Reversals, Refinements, and Converses of Jensen's and Jensen–Steffensen's Inequalities

1992
openaire   +1 more source

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
M. Klaričić Bakula
doaj   +10 more sources

On the refinements of the Jensen-Steffensen inequality [PDF]

Journal of Inequalities and Applications, 2011
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 ...
Khalid Sadia, Pečarić Josip, Franjić Iva   +2 more
doaj   +4 more sources

Generalizations of the Jensen-Steffensen and related inequalities

Open Mathematics, 2009
Abstract We present a couple of general inequalities related to the Jensen-Steffensen inequality in its discrete and integral form. The Jensen-Steffensen inequality, Slater’s inequality and a generalization of the counterpart to the Jensen-Steffensen inequality are deduced as special cases from these general inequalities.
Bakula Milica, Matić Marko, Pečarić Josip   +2 more
doaj   +7 more sources

Generalizations of Jensen-Steffensen and related integral inequalities for superquadratic functions

Open Mathematics, 2010
Abstract We present integral versions of some recently proved results which improve the Jensen-Steffensen and related inequalities for superquadratic functions. For superquadratic functions which are not convex we get inequalities analogous to the integral Jensen-Steffensen inequality for convex functions.
Abramovich Shoshana, Ivelić Slavica, Pečarić Josip   +2 more
doaj   +4 more sources