Results 191 to 200 of about 527,598 (215)
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POST-QUANTUM HERMITE–JENSEN–MERCER INEQUALITIES
Rocky Mountain Journal of Mathematics, 2023Let us present some definitions from \((p,q)\)-calculus which are used in this paper.
Bohner, Martin +2 more
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New Refinements of Jensen-Mercer’s Inequality
Journal of Computational and Theoretical Nanoscience, 2015Adem Kiliçman +2 more
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Mercer type variants of the Jensen–Steffensen inequality
Rocky Mountain Journal of Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khan, Asif R., Rubab, Faiza
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Generalized inequalities of the Mercer type for strongly convex functions
Journal of Inequalities and Special Functions, 2023A generalization of the Mercer type inequality, for strongly convex functions with modulus $c>0$, is hereby established. Let $\mathfrak{h}:[\delta,\zeta] \rightarrow \mathbb{R}$ be a strongly convex function on the interval $[\delta,\zeta] \subset \mathbb{R}$. Let ${\bf a}=(a_1,….,a_s)$, ${\bf b}=(b_1,….,b_s)$ and ${\bf p}=(p_1,….,p_s)$, where $a_k,
Muhammad Adil Khan +3 more
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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
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Fractals
This paper establishes novel Hermite–Hadamard–Mercer inequalities for [Formula: see text]-Riemann–Liouville fractional integrals using the Jensen–Mercer inequality. The obtained results unify and generalize several existing inequalities for Riemann integrals and standard Riemann–Liouville fractional integrals. Numerical examples confirm that increasing
Fangfang Shi +3 more
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This paper establishes novel Hermite–Hadamard–Mercer inequalities for [Formula: see text]-Riemann–Liouville fractional integrals using the Jensen–Mercer inequality. The obtained results unify and generalize several existing inequalities for Riemann integrals and standard Riemann–Liouville fractional integrals. Numerical examples confirm that increasing
Fangfang Shi +3 more
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Bitrapezoid-Mercer type inequalities
Mathematica SlovacaAbstract The main objective of our paper is to establish a new set of bitrapezoid type inequalities concerning the Jensen-Mercer's inequality. At first, we derive a new general Bitrapezoid-Mercer's identity, with which we get out primary consequences.
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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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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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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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