Some weighted integral inequalities with a parameter and applications

DOI10.1007/s10440-008-9323-2zbMath1196.26030OpenAlexW2060682058MaRDI QIDQ966481

Wen-Jun Liu

Publication date: 23 April 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9323-2

zbMATH Keywords

weighted inequalitiesquadrature formulaeSimpson inequalityOstrowski type inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items

Some companions of perturbed Ostrowski-type inequalities based on the quadratic kernel function with three sections and applications ⋮ Generalized weighted Ostrowski, trapezoid and Grüss type inequalities on time scales ⋮ New sharp Ostrowski-type inequalities and generalized trapezoid-type inequalities for Riemann-Stieltjes integrals and their applications ⋮ Some new error inequalities for a generalized quadrature rule of open type ⋮ Approximating the finite Hilbert transform via some companions of Ostrowski's inequalities ⋮ Asymptotic expressions for error terms of the perturbed mid-point and trapezoid rules ⋮ NEW COMPUTATIONS OF OSTROWSKI-TYPE INEQUALITY PERTAINING TO FRACTAL STYLE WITH APPLICATIONS

Cites Work

• Generalizations of weighted trapezoidal inequality for mappings of bounded variation and their applications
• On Simpson's inequality and applications
• Perturbations of an Ostrowski type inequality and applications
• Generalizations of weighted Ostrowski type inequalities for mappings of bounded variation and their applications
• Several error inequalities for a quadrature formula with a parameter and applications
• On the Ostrowski's integral inequality for mappings with bounded variation and applications
• NEW WEIGHTED OSTROWSKI-GRUSS-CEBYSEV TYPE INEQUALITIES
• On weighted Simpson type inequalities and applications
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