Inequalities for a generalized finite Hilbert transform of convex functions

DOI10.5937/matmor2102081sOpenAlexW4210437878MaRDI QIDQ6192922

Sever Silvestru Dragomir

Publication date: 13 February 2024

Published in: Mathematica Moravica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5937/matmor2102081s

zbMATH Keywords

convex functionsintegral inequalitiesfinite Hilbert transform

Mathematics Subject Classification ID

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

Cites Work

• 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
• The Hermite-Hadamard type inequality of GA-convex functions and its application
• A quadrature rule for the finite Hilbert transform via trapezoid type inequalities
• Approximating the finite Hilbert transform via trapezoid type inequalities
• Generalized convexity and 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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