Results 171 to 180 of about 30,421 (194)
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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
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.
FANGFANG SHI +3 more
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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.
FANGFANG SHI +3 more
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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.
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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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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Jensen's, chord's and Mercer's inequality
2012This 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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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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New Refinements of Jensen-Mercer’s Inequality
Journal of Computational and Theoretical Nanoscience, 2015M Adil Khan +4 more
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JENSEN–MERCER INEQUALITY AND RELATED RESULTS IN THE FRACTAL SENSE WITH APPLICATIONS
Fractals, 2022Saad Ihsan Butt, Hijaz Ahmad
exaly