논문KCI 등재
Inequalities for the Hilbert transform of functions whosederivatives are convex
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Abstract
Using the well known Hermite-Hadamard integral inequality for convexfunctions, some inequalities for the finite Hilbert transform of functionswhose first derivatives are convex are established. Some numericalexperiments are performed as well.
관련 논문AI추천
Some Inequalities for the Finite Hilbert Transform of a ProductSever S. Dragomir대한수학회 · 대한수학회논문집2003 · 제18권 제1호Some New Hilbert Type InequalitiesShaban Raslan Salem경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제1호On an Extension of Hardy-Hilbert'sInequalityBicheng Yang경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제3호An analogue of Hilbert's inequality and its extensions김병일, 김영호대한수학회 · 대한수학회보2002 · 제39권 제3호Boundedness and inversion properties of certain convolution transformsSemyon B. Yakubovich대한수학회 · 대한수학회지2003 · 제40권 제6호Approximating the Finite Hilbert Transform via Ostrowski Type Inequalities for Absolutely Continuous FunctionsS. S. Dragomir대한수학회 · 대한수학회보2002 · 제39권 제4호
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