Grüss' inequality for positive linear functionals

DOI10.1007/BF01848061zbMath0619.26011OpenAlexW2067632139MaRDI QIDQ1089445

Dorin Andrica, Catalin Badea

Publication date: 1988

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01848061

zbMATH Keywords

positive linear functionalGrüss' inequality

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Linear operators on ordered spaces (47B60) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (21)

Some remarks on Laplacian eigenvalues of connected graphs ⋮ New results concerning Chebyshev-Grüss-type inequalities via discrete oscillations ⋮ A Survey on Jessen’s Type Inequalities for Positive Functionals ⋮ Unnamed Item ⋮ Bounds for symmetric division deg index of graphs ⋮ Unnamed Item ⋮ A generalized form of Grüss type inequality and other integral inequalities ⋮ Recent developments of the operator Kantorovich inequality ⋮ Computational properties of the arithmetic-geometric index ⋮ Some results for isotonic functionals via an inequality due to Kittaneh and Manasrah ⋮ On the order of approximation by modified summation-integral-type operators based on two parameters ⋮ Some additive reverses of Callebaut and Hölder inequalities for isotonic functionals ⋮ On Szász-Durrmeyer type modification using Gould Hopper polynomials ⋮ Linear and non-linear inequalities on the inverse sum indeg index ⋮ A note on the first reformulated Zagreb index ⋮ Grüss-type and Ostrowski-type inequalities in approximation theory ⋮ A companion of the Grüss inequality and applications. ⋮ On an inequality of Seitz ⋮ The Product of Two Functions Using Positive Linear Operators ⋮ Bounds for peripheral distance signless Laplacian eigenvalues of graphs ⋮ On some Grüss' type inequalities for the complex integral

Cites Work

• Generalization of some results of H. Burkill and L. Mirsky and some related results
• Comments on Chebyshev's inequality
• Chebyshev's inequalities for functions monotone in the mean
• On Jessen's inequality for convex functions
• On Jessen's inequality for convex functions. II
• Two Remarks on the Kantorovich Inequality
• 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. \ .]
• On an integral inequality
• Unnamed Item
• Unnamed Item

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