Approximating the finite Hilbert transform via trapezoid type inequalities
نویسندگان
چکیده
منابع مشابه
Some Inequalities for the Finite Hilbert Transform of a Product
Some inequalities for the Hilbert transform of the product of two functions are given.
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A new generalized perturbed trapezoid type inequality is established by Peano kernel approach. Some related results are also given.
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*Correspondence: [email protected] 1School of Mathematical Science, Huaibei Normal University, Huaibei, 235000, P.R. China Full list of author information is available at the end of the article Abstract By introducing two pairs of conjugate exponents and estimating the weight coefficients, we establish reverse versions of Hilbert-type inequalities, as described by Jin (J. Math. Anal. Appl. 340:...
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The main objective of this paper is to prove Hilbert-type and Hardy-Hilbert-type inequalities with a general homogeneous kernel, thus generalizing a result obtained in [Namita Das and Srinibas Sahoo, A generalization of multiple Hardy-Hilbert’s integral inequality, Journal of Mathematical Inequalities, 3(1), (2009), 139–154].
متن کاملOn Inverse Hilbert-Type Inequalities
Considerable attention has been given to Hilbert inequalities and Hilbert-type inequalities and their various generalizations by several authors including Handley et al. 1 , Minzhe and Bicheng 2 , Minzhe 3 , Hu 4 , Jichang 5 , Bicheng 6 , and Zhao 7, 8 . In 1998, Pachpatte 9 gave some new integral inequalities similar to Hilbert inequality see 10, page 226 . In 2000, Zhao and Debnath 11 establi...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2002
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(02)00104-9