About some inequalities for isotonic linear functionals and applications

Ciurdariu, Loredana

doi:10.12988/ams.2014.410858

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Subdividing Of Holder's Inequality For Isotonic Linear Funct1

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2015

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“…Proof. The proof will use similar reasons with the corresponding result from [2], or can be seen in [7].…”

Section: Subdividing Of Holder's Inequality For Isotonic Linear Functmentioning

confidence: 91%

Integral inequalities on time scales via isotonic linear functionals

Ciurdariu¹

2015

ams

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The aim of this paper is to establish some extensions of Holder's inequality in the case 0 < r < 1 and Minkowski's inequality for isotonic linear functionals taking into account that the time scale Cauchy delta, Cauchy nabla, α-diamond, multiple Riemann, and multiple Lebesque integrals all are isotonic linear functionals. Several applications of these results for other particular isotonic linear functionals will be also obtained. Mathematics Subject Classification: 26D15

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“…Proof. The proof will use similar reasons with the corresponding result from [2], or can be seen in [7].…”

Section: Subdividing Of Holder's Inequality For Isotonic Linear Functmentioning

confidence: 91%