Results 141 to 150 of about 185 (156)

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

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  

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  

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

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

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

Jensen-Mercer inequality for uniformly convex functions with some applications

Afrika Matematika, 2023
Yamin Sayyari, Sayyari Yamin
exaly  

New Study on the Quantum Midpoint-Type Inequalities for Twice q-Differentiable Functions via the Jensen–Mercer Inequality

Symmetry, 2023
Saad Ihsan Butt, Muhammad Umar, Huseyin Budak   +2 more
exaly  

A Variant of the Jensen-Mercer Operator Inequality for Superquadratic Functions

2009
A variant of the Jensen-Mercer operator inequality for superquadratic functions, which is a refinement of the Jensen-Mercer operator inequality for convex functions, is proved. Obtained result is used to refine some comparison inequalities between operator power and quasi-arithmetic means of Mercer's type.
Matković, Anita, Barić, Josipa
openaire  

Jensen–Mercer and Hermite–Hadamard–Mercer Type Inequalities for GA-h-Convex Functions and Its Subclasses with Applications

Mathematics, 2023
Asfand Fahad, Yuanheng Wang, Saad Ihsan Butt   +2 more
exaly