[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2003.18.1.039

SOME INEQUALITIES FOR THE FINITE HILBERT TRANSFORM OF A PRODUCT

Dragomir, Sever-S. (School of Communications and Informatics Victoria University of Technology)

Publication Information

Communications of the Korean Mathematical Society / v.18, no.1, 2003 , pp. 39-57 More about this Journal

Abstract

Some inequalities for the Hilbert transform of the product of two functions are given.

Keywords

Hilbert transform; analytic inequalities;

Citations & Related Records

Reference

1	Error estimates for generalized compound quadrature formulas / [ P. Kohler ] / IMA J. Numer. Anal. DOI ScienceOn
2	Gauss-Konrod integration rules for Cauchy principal value integrals / [ P. Rabinowitz ] / Math. Comp.
3	Uniform convergence to optimal order quadrature rules for Cauchy principal value integrals / [ K. Diethelm ] / J. Comput. Appl. Math. DOI ScienceOn
4	/ [ F. D. Gakhov ] / Boundary Value Problems(English traslation)
5	Asymptotically sharp error bounds for a quadrature rule for Cauchy principal value integrals based on a piecewise linear interpolation / [ K. Diethelm ] / Approx. Theory Appl. (N.S.)
6	/ [ S. G. Mikhlin;S. Prossdorf ] / Singular Integral Operators (English translation)
7	Error estimates for three methods of evaluating Cauchy principal value integrals / [ B. Noble;S. Beighton ] / J. Inst. Maths. Applics.
8	/ [ P. L. Butzer;R. J. Nessel ] / Fourier Analysis and Approximation Theory
9	On the convergence of Gauss quadrature rules for the Cauchy principal value integrals / [ G. Criscuolo;G. Mastroianni ] / Ricerche Mat.
10	Corrigendum / [ P. Rabinowitz ] / Math. Comp. DOI
11	Error estimates for a quadrature rule for Cauchy principal value integrals / [ K. Diethelm ] / Proc. Sympos. Appl. Math. DOI
12	Some inequalities for the finite Hibert transform / [ N. M. Dragomir;S. S. Dragomir;P. Farrell;Y. J. Cho(Ed.);S. S. Dragomir(Ed.);S. S. Kim(Ed.) ] / Theory of Inequalities and Applications
13	On the error of quadrature formulae for Cauchy principal value integrals based on piecewise interpolation / [ P. Kohler ] / Approx. Theory Appl. (N.S.)
14	On the uniform convergence of Gaussian quadrature rules for Cauchy principal value integrals / [ G. Criscuolo;G. Mastroianni ] / Numer. Math. DOI
15	/ [ P. J. Davis;P. Rabinowitz ] / Methods of Numerical Integration(2nd Ed.)
16	Modified compound quadrature rules for strongly singular integrals / [ K. Diethelm ] / Computing DOI ScienceOn
17	Asymptotically sharp error estimates for modified compound quadrature formulae for Cauchy principal value integrals / [ P. Kohler ] / Computing
18	Gauss type quadrature rules for Cauchy principal value integrals / [ D. Elliott;D. F. Paget ] / Math. Comp. DOI ScienceOn
19	Quadrature formulas for Cauchy principal value integrals / [ M. M. Chawla;N. Jayarajan ] / Computing DOI ScienceOn
20	Holder continuous functions and the finite Hilbert transform / [ S. Okada;D. Elliot ] / Mathematische Nach
21	A note on Peano constants of Gauss-Konrod quadrature schemes / [ S. Ehrich ] / J. Comput. Appl. Math. DOI ScienceOn
22	The numerical evaluation of one-dimensional Cauchy principal value integrals / [ G. Monegato ] / Computing
23	On the numerical integration of certain singular integrals / [ H. W. Stolle;R. <TEX>$Strau\beta$</TEX> ] / Computing DOI
24	Some Gauss type formulae for the evaluation of Cauchy principal value integrals / [ D. B. Hunter ] / Numer. Math. DOI
25	On the convergence of Hunter's method for Cauchy principal value integrals / [ P. Rabinowitz;A. Gerasoulis;P. Vichnevetsky(Ed.) ] / In Numerical Solution of Singular Integral Equations
26	A note on Hilbert's operator / [ H. Kober ] / Bull. Amer. Math. Soc. DOI
27	Peano kernels and bounds for the error constants of Gaussian and related quadrature rules for Cauchy principal value integrals / [ K. Diethelm ] / Numer. Math.
28	/ [ S. S. Dragomir ] / The application of Bullen's inequality for convex functions to the finite Hilbert transform