A sharp bound for the Čebyšev functional of convex or concave functions

DOI10.1155/2013/295146zbMath1298.26034OpenAlexW2028905589WikidataQ58920743 ScholiaQ58920743MaRDI QIDQ463166

Mohammad Wajeeh Alomari

Publication date: 16 October 2014

Published in: Chinese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/295146

zbMATH Keywords

Chebyshev functional

Mathematics Subject Classification ID

Convexity of real functions in one variable, generalizations (26A51)

Related Items (1)

New Čebyšev type inequalities and applications for functions of self-adjoint operators on complex Hilbert spaces

Cites Work

• Inequalities for Stieltjes integrals with convex integrators and applications
• Accurate Approximations for the Riemann-Stieltjes Integral Via Theory of Inequalities
• Über das Maximum des absoluten Betrages von \[ \frac 1{b-a}\int _a^bf(x)g(x)\,dx-\frac 1{(b-a)^2}\int _a^bf(x)\,dx\int _a^bg(x)\,dx. \ .]
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