Results 171 to 180 of about 30,526 (192)

Jensen-Mercer inequality

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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Jensen–Mercer Operator Inequalities Involving Superquadratic Functions

Mediterranean Journal of Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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.
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STRENGTHENED VERSION OF FRACTIONAL HERMITE–HADAMARD–MERCER INEQUALITIES FOR HARMONICALLY CONVEX FUNCTIONS BASED ON JENSEN–MERCER INEQUALITY

Fractals
This study is chiefly concerned with the application of the harmonically convexity condition to establish a series of novel fractional Hermite–Hadamard–Mercer inequalities via the Jensen–Mercer inequality. In both classical and fractional calculus, the existing Hermite–Hadamard–Mercer inequalities have provided certain bounds. However, these bounds are
FANGFANG SHI, MUHAMMAD AMIR ALI, WEI LIU, DONGDONG GAO   +3 more
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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.
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On q-Hermite–Hadamard–Mercer and midpoint-Mercer inequalities for general convex functions with their computational analysis

International Journal of Geometric Methods in Modern Physics
This paper establishes some new inequalities of Hermite–Hadamard–Mercer type for [Formula: see text]-convex functions in the framework of [Formula: see text]-calculus and classical calculus. Some new [Formula: see text]-midpoint-Mercer type inequalities for the [Formula: see text]-differentiable [Formula: see text]-convex functions are also proved ...
Muhammad Toseef, Zhiyue Zhang, Muhammad Aamir Ali   +2 more
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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
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A STUDY OF FRACTIONAL HERMITE–HADAMARD–MERCER INEQUALITIES FOR DIFFERENTIABLE FUNCTIONS

Fractals
In this work, we prove a parameterized fractional integral identity involving differentiable functions. Then, we use the newly established identity to establish some new parameterized fractional Hermite–Hadamard–Mercer-type inequalities for differentiable function.
THANIN SITTHIWIRATTHAM, MIGUEL VIVAS-CORTEZ, MUHAMMAD AAMIR ALI, HÜSEYIN BUDAK, İBRAHIM AVCI   +4 more
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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
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Jensen's, chord's and Mercer's inequality

2012
This work examines the different variants of Jensen's, chord's and Mercer's inequality for convex function on the interval of real numbers.
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