Results 71 to 80 of about 4,869 (94)

Jensen–Steffensen inequality for diamond integrals, its converse and improvements via Green function and Taylor’s formula

Aequationes Mathematicae, 2018
In [Nonlinear Anal., Real World Appl. 7, No. 3, 395--413 (2006; Zbl 1114.26004)], \textit{Q. Sheng} et al. introduced the combined dynamic derivative, also called diamond \(\alpha\)-dynamic derivative \((\alpha\in[0,1])\). Using the delta and nabla derivatives due to \textit{S.
Ammara Nosheen, Rabia Bibi, Josip Pecaric   +2 more
exaly   +5 more sources

A Simple Proof of the Jensen-Steffensen Inequality

American Mathematical Monthly, 1984
(1984). A Simple Proof of the Jensen-Steffensen Inequality. The American Mathematical Monthly: Vol. 91, No. 3, pp. 195-196.
Josip Pecaric
exaly   +3 more sources

On a Version of Jensen-Steffensen Inequality and a Note on Inequalities in Several Variables

Springer Optimization and Its Applications, 2023
Shoshana Abramovich, Abramovich Shoshana   +1 more
exaly   +2 more sources

New improvements of Jensen’s type inequalities via 4-convex functions with applications

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2021
Muhammad Adil Khan, Shahid Khan, Josip Pecaric   +2 more
exaly   +2 more sources

On Some General Inequalities Related to Jensen’s Inequality

International Series of Numerical Mathematics, 2008
Milica Klaričić Bakula, Josip Pecaric, Pecaric Josip   +2 more
exaly   +2 more sources

Extensions in Time Scales Integral Inequalities of Jensen’s Type via Fink’s Identity

Mathematica Slovaca, 2023
In this paper, using Fink’s identity and Green’s function, we obtain several extensions of Jensen’s inequality, Jensen–Steffensen inequality, and the converse of Jensen’s inequality for diamond integrals.
Rabia Bibi, A. Nosheen, J. Pečarić
semanticscholar   +1 more source

A counterpart to Jensen-Steffensen's inequality

Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, 2003
In this note a companion inequality to the Jensen-Steffensen inequality is ...
Pečarić, Josip, Elezović, Neven
openaire   +1 more source

Jensen-Steffensen Inequality: Accentuate the Negative

2023
Let f:I→R, where I is an interval in ℝ, be a convex function on I, and x=(x₁,⋯,x_{n})∈Iⁿ. If p=(p₁,⋯,p_{n}) is a nonnegative real n-tuple such that P_{n}=∑_{i=1}ⁿp_{i}>0 then the well-known Jensen inequality f((1/(P_{n}))∑_{i=1}ⁿp_{i}x_{i})≤(1/(P_{n}))∑_{i=1}ⁿp_{i}f(x_{i}) jen holds.
openaire  

On some general inequalities of the Jensen-Steffensen type

2008
We present a pair of general inequalities related to the Jensen-Steffensen inequality for convex functions. We show that the discrete Jensen-Steffensen inequality, as well as a discrete Slater type inequality, can be obtained from these general inequalities as their special cases. We also prove that one of our general companion inequalities, under some
Klaričić Bakula, Milica, Matić, Marko, Pečarić, Josip   +2 more
openaire   +1 more source

Conversions of the Jensen-Steffensen and Jensen-Mercer inequalities

2010
We establish conversions of the Jensen-Steffensen and Jensen-Mercer inequalities. We also use so caled exp-convex method to obtain some new inequalities related to those converse inequalities.
Klaričić Bakula, Milica, Ivelić Bradanović, Slavica, Pečarić, Josip   +2 more
openaire   +1 more source