Comparing two integral means for absolutely continuous mappings whose derivatives are in \(L_\infty[a,b]\) and applications

DOI10.1016/S0898-1221(02)00144-XzbMath1014.26016OpenAlexW1975418190MaRDI QIDQ1609177

A. M. Fink, N. S. Barnett, Pietro Cerone, Sever Silvestru Dragomir

Publication date: 15 August 2002

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

Full work available at URL: https://doi.org/10.1016/s0898-1221(02)00144-x

zbMATH Keywords

probability density functionintegral meansJeffreys divergenceOstrowski's inequalitycontinuous streams

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10) Inequalities for sums, series and integrals (26D15)

Related Items

Bounds for the weighted Dragomir-Fedotov functional ⋮ Comparing two integral means for absolutely continuous functions whose absolute value of the derivative are convex and applications ⋮ SOME RESULTS ON COMPARING TWO INTEGRAL MEANS FOR ABSOLUTELY CONTINUOUS FUNCTIONS AND APPLICATIONS ⋮ Differences between means with bounds from a Riemann-Stieltjes integral ⋮ Korneichuk-Stechkin Lemma, Ostrowski and Landau Inequalities, and Optimal Recovery Problems for L-Space Valued Functions ⋮ New Čebyšev type inequalities and applications for functions of self-adjoint operators on complex Hilbert spaces ⋮ Integral inequalities for n-time differentiable functions and applications ⋮ Discrete weighted Montgomery identity and discrete Ostrowski type inequalities ⋮ Bounds for the difference between two Čebyšev functionals ⋮ Approximation of the integral mean divergence and \(f\)-divergence via mean results

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Applications of Ostrowski's inequality to the estimation of error bounds for some special means and for some numerical quadrature rules
• Bounds on the deviation of a function from its averages
• Ostrowski Type Inequalities
• SOME OSTROWSKI TYPE INEQUALITIES FOR π-ΤΙΜΕ DIFFERENTIABLE MAPPINGS AND APPLICATIONS
• An invariant form for the prior probability in estimation problems