The Ostrowski type moment integral inequalities and moment-bounds for continuous random variables

DOI10.1016/J.CAMWA.2003.11.002zbMath1083.60505OpenAlexW2117139011MaRDI QIDQ814057

N. E. Zubov

Publication date: 2 February 2006

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2003.11.002

zbMATH Keywords

momentsHölder's inequalityGrüss inequalityOstrowski's inequalitybeta mappings

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Inequalities for sums, series and integrals (26D15)

Related Items (14)

\((k,s)\)-Riemann-Liouville fractional integral inequalities for continuous random variables ⋮ Two Ostrowski type inequalities for the Stieltjes integral of monotonic functions ⋮ Error bounds in approximating the Riemann-Stieltjes integral of \(C^{n + 1}\)-class integrands and nonsmooth integrators ⋮ Generalized Ostrowski type integral inequalities involving generalized moments via local fractional integrals ⋮ Approximating the Riemann-Stieltjes integral of smooth integrands and of bounded variation integrators ⋮ Korneichuk-Stechkin Lemma, Ostrowski and Landau Inequalities, and Optimal Recovery Problems for L-Space Valued Functions ⋮ Approximating the Riemann-Stieltjes integral in terms of generalised trapezoidal rules ⋮ Ostrowski's type inequalities for some classes of continuous functions of selfadjoint operators in Hilbert spaces ⋮ New bounds for moments of continuous random variables ⋮ On Ostrowski type inequalities for Stieltjes integrals with absolutely continuous integrands and integrators of bounded variation ⋮ A sharp companion of Ostrowski's inequality for the Riemann-Stieltjes integral and applications ⋮ Some estimations on continuous random variables for \((k, s)\)-fractional integral operators ⋮ New weighted concepts for continuous random variables with applications ⋮ A Survey on Ostrowski Type Inequalities for Riemann–Stieltjes Integral

Cites Work

• An inequality of Ostrowski-Grüss' type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules
• Inequalities involving moments of a continuous random variable defined over a finite interval
• An Inequality of Ostrowski Type and Its Applications for Simpson's Rule and Special Means
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