Grüss-type inequalities

DOI10.1006/jmaa.2001.7565zbMath1007.26016OpenAlexW2089415525MaRDI QIDQ1599104

E. N. Mohapatra, Xin Li, R. S. Rodriguez

Publication date: 2 July 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7565

zbMATH Keywords

best approximationGrüss inequality

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Inequalities for sums, series and integrals (26D15)

Related Items

Trapezoidal type inequalities for Riemann-Stieltjes integral via Čebyšev functional with applications ⋮ Grüss type integral inequalities for generalized Riemann-Liouville \(k\)-fractional integrals ⋮ Certain inequalities associated with Hadamard \(k\)-fractional integral operators ⋮ Integral inequalities via Raina's fractional integrals operator with respect to a monotone function ⋮ Estimates for weighted Ostrowski-Grüss type inequalities with applications ⋮ Unnamed Item ⋮ Some \(k\)-fractional extension of Grüss-type inequalities via generalized Hilfer-Katugampola derivative ⋮ Unnamed Item ⋮ On the spread of the geometric-arithmetic matrix of graphs ⋮ The eccentricity-based topological indices ⋮ New bounds for moments of continuous random variables ⋮ The \(A_\alpha\)-spread of a graph ⋮ Grüss type inequalities in normed spaces ⋮ On the generalization of Ostrowski and Grüss type discrete inequalities ⋮ Some remarks on the Chebyshev functional ⋮ On generalized Grüss type inequalities for \(k\)-fractional integrals ⋮ A unified approach to some inequalities of Ostrowski-Grüss type ⋮ Norm inequalities of Čebyšev type for power series in Banach algebras ⋮ Grüss and Ostrowski type inequalities ⋮ A new inequality of Ostrowski-Grüss type and applications to some numerical quadrature rules ⋮ A new generalized inequality for covariance in \(N\) dimensions ⋮ Some Grüss-type results via Pompeiu's-like inequalities ⋮ Grüss type and related integral inequalities in probability spaces ⋮ Some Gruss type inequalities for Frechet differentiable mappings ⋮ Revisiting the Grüss inequality ⋮ Unnamed Item

Cites Work

• A generalization of Grüss's inequality in inner product spaces and applications
• 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
• An Inequality of Ostrowski Type and Its Applications for Simpson's Rule and Special Means
• Unnamed Item
• Unnamed Item
• Unnamed Item