Approximating the finite Hilbert transform via some companions of Ostrowski's inequalities

DOI10.1007/s40840-015-0251-9zbMath1355.26030OpenAlexW2304946472MaRDI QIDQ503526

Xingyue Gao, Wenjun Liu, Ya-qiong Wen

Publication date: 13 January 2017

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-015-0251-9

zbMATH Keywords

\(L^p\) spaceabsolutely continuous functionsOstrowski's inequalitycomposite quadrature rule

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Remainders in approximation formulas (41A80) Absolutely continuous real functions in one variable (26A46)

Related Items (10)

Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities ⋮ Weighted Ostrowski, trapezoid and midpoint type inequalities for Riemann-Liouville fractional integrals ⋮ Inequalities for a generalized finite Hilbert transform of convex functions ⋮ Generalized Finite Hilbert Transform and Some Basic Inequalities ⋮ Some extended integral inequalities on time scales ⋮ Inequalities and Approximations for the Finite Hilbert Transform: A Survey of Recent Results ⋮ Approximating the finite Hilbert transform for absolutely continuous mappings and applications in numerical integration ⋮ A note on approximating finite Hilbert transform and quadrature formula ⋮ On generalization of some inequalities for generalized harmonically convex functions via local fractional integrals ⋮ A parameter-based Ostrowski-Grüss type inequalities with multiple points for derivatives bounded by functions on time scales

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