Generalized Finite Hilbert Transform and Some Basic Inequalities

DOI10.1007/978-3-030-28950-8_27zbMath1450.30058OpenAlexW2991399043MaRDI QIDQ5120131

Sever Silvestru Dragomir

Publication date: 9 September 2020

Published in: Frontiers in Functional Equations and Analytic Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-28950-8_27

zbMATH Keywords

estimatesHilbert transform

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Inequalities in the complex plane (30A10)

Cites Work

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• Approximating the finite Hilbert transform via a companion of Ostrowski's inequality for function of bounded variation and applications
• Approximating the finite Hilbert transform via some companions of Ostrowski's inequalities
• Sharp error bounds of a quadrature rule with one multiple node for the finite Hilbert transform in some classes of continuous differentiable functions
• A quadrature rule for the finite Hilbert transform via trapezoid type inequalities
• Approximating the finite Hilbert transform via trapezoid type inequalities
• INEQUALITIES FOR THE HILBERT TRANSFORM OF FUNCTIONS WHOSE DERIVATIVES ARE CONVEX
• APPROXIMATING THE FINITE HILBERT TRANSFORM VIA OSTROWSKI TYPE INEQUALITIES FOR ABSOLUTELY CONTINUOUS FUNCTIONS
• The Perturbed Median Principle for Integral Inequalities with Applications
• SOME INEQUALITIES FOR THE FINITE HILBERT TRANSFORM OF A PRODUCT

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