Approximating the finite Hilbert transform for absolutely continuous mappings and applications in numerical integration

DOI10.1007/S00006-018-0898-ZzbMath1400.26064OpenAlexW2887993444MaRDI QIDQ1990953

Fuat Usta

Publication date: 26 October 2018

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-018-0898-z

zbMATH Keywords

Cauchy principal valuefinite Hilbert transformabsolutely continuous mappings

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Other analytical inequalities (26D20)

Related Items (2)

Approximating the finite Mellin and Sumudu transforms utilizing wavelet transform ⋮ A note on approximating finite Hilbert transform and quadrature formula

Cites Work

• Unnamed Item
• Approximating the finite Hilbert transform via some companions of Ostrowski's inequalities
• A quadrature rule for the finite Hilbert transform via trapezoid type inequalities
• Approximating the finite Hilbert transform via trapezoid type inequalities
• A generalization of Ostrowski's inequality and applications in numerical integration.
• APPROXIMATING THE FINITE HILBERT TRANSFORM VIA OSTROWSKI TYPE INEQUALITIES FOR ABSOLUTELY CONTINUOUS FUNCTIONS

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