Results 161 to 169 of about 5,323 (169)

Jensen-Mercer Inequality for Functions with Nondecreasing Increments

World academy of science, engineering and technology, 2020
We present Jensen-Mercer inequality for the class of functions with nondecreasing increments and its refinements obtained by use of index set function. Then, we show how these results can be used to obtain refinements of the analogous variants of Čebyšev's inequality and Hölder's inequality for monotonic sequences.
Matković, Anita, Pečarić, Josip
openaire   +1 more source

Jensen-Mercer inequality and its applications

2007
Our starting point is the following variant of Jensen's inequality f(a+b-(1/(W_{; ; n}; ; ))∑ _{; ; i=1}; ; ⁿ w_{; ; i}; ; x_{; ; i}; ; )≤ f(a)+f(b)-(1/(W_{; ; n}; ; ))∑ _{; ; i=1}; ; ⁿ w_{; ; i}; ; f(x_{; ; i}; ; ), for convex function f:[a, b]→ ℝ , real numbers x₁ , … , x_{; ; n}; ; ∈ [a, b]
Matković, Anita, Pečarić, Josip
openaire  

Jensen-Mercer inequality

2006
Izučavana su poopćenja i profinjenja Jensen-Mercerove nejednakosti za raznovrsne klase realnih funkcija, te njihovi analogoni za različite općenitije strukture i prikladne uređaje. Budući da ona omogućuju definiranje više klasa težinskih sredina, proučavani su i međusobni odnosi tih sredina.
openaire  

Operator Versions of the Jensen-Mercer Inequality

2014
We present several operator versions of the Jensen-Mercer inequality [5]. We extend it to self-adjoint operators on a Hilbert space [2], then to self-adjoint operators and positive linear mappings [3], [4], and finally to continuous fields of operators and unital fields of positive linear mappings [1].
Pečarić, Josip, Matković, Anita
openaire   +1 more source

On the Refinement of Jensen-Mercer’s Inequality

Revue d'analyse numérique et de théorie de l'approximation (1992), 2012
In this paper we obtain refinements of Jensen- Mercer’s inequality.
openaire  

New Refinements of Jensen-Mercer’s Inequality

Journal of Computational and Theoretical Nanoscience, 2015
M Adil Khan, G Ali Khan, M Jameel, K.A Khan, A Kilicman   +4 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

Generalization of the Jensen-Mercer inequality by Taylor's polynomial

2015
We present generalizations of the Jensen-Mercer inequality for the class of n-convex functions, obtained by using Taylor's polynomial and Green function. By applying those inequalities we obtain some related results and produce new families of exponentially convex functions.
Pečarić, Josip, Matković, Anita
openaire   +1 more source

Some Variants of the Jensen-Mercer Inequality and their Applications

2010
We present some of generalizations of the Jensen-Mercer inequality in various spaces with adequate orders, and for several types real valued functions. As their applications we establish the monotonicity property of the weighted means of Mercer's type.
Matković, Anita, Pečarić, Josip
openaire   +1 more source