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Jensen-Mercer inequality for uniformly convex functions with some applications
Afrika Matematika, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yamin Sayyari
exaly +3 more sources
New Refinements of Jensen-Mercer’s Inequality
Journal of Computational and Theoretical Nanoscience, 2015Adem Kiliçman +2 more
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A log-convex approach to Jensen-Mercer inequality
2022Summary: We obtain some new Jensen-Mercer type inequalities for log-convex functions. Indeed, we establish refinement and reverse for the Jensen-Mercer inequality for log-convex functions. Several new Hermite-Hadamard and Fejér types of inequalities are also presented.
Davarpanah, M., Moradi, H. R.
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Jensen–Mercer Operator Inequalities Involving Superquadratic Functions
Mediterranean Journal of Mathematics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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2007
We consider the Jensen-Mercer inequality in various spaces and for several types real valued functions. This also enables us to define a variety of weighted means and to explore their relationships. Besides of the Mercer's variant of Jensen's inequality, we show analogous variant of the Jensen-Steffensen inequality, from which similar variants of some ...
Matković, Anita, Pečarić, Josip
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We consider the Jensen-Mercer inequality in various spaces and for several types real valued functions. This also enables us to define a variety of weighted means and to explore their relationships. Besides of the Mercer's variant of Jensen's inequality, we show analogous variant of the Jensen-Steffensen inequality, from which similar variants of some ...
Matković, Anita, Pečarić, Josip
openaire
Jensen-Mercer Inequality for Functions with Nondecreasing Increments
World academy of science, engineering and technology, 2020We 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
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On the Refinement of Jensen-Mercer’s Inequality
Revue d'analyse numérique et de théorie de l'approximation (1992), 2012In this paper we obtain refinements of Jensen- Mercer’s inequality.
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Operator Versions of the Jensen-Mercer Inequality
2014We 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
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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.
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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.
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Jensen-Mercer inequality and its applications
2007Our 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
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