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Some nonlinear inequalities involving improper integrals and their discrete analogues

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Abstract

Some new inequalities involving improper integrals are established in the paper which generalize the related results due to Pachpatte and Rodrigues. Discrete analogues of the integral inequalities obtained are also derived. An example is given to show that the bound in Theorem 1 is not improvable.

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Authors and Affiliations

  1. Dept. of Information Technology, Guangdong Univ. of Foreign Studies, 510420, Guangzhou, China

    Ma Qinghua

  2. Dept. of Math., Jinan Univ., 510632, Guangzhou, China

    Yang Enhao

Authors
  1. Ma Qinghua
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  2. Yang Enhao
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Additional information

Supported by the Natural Science Foundation of Guangdong Pronvince (011471) and Education Bureau (0176).

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Qinghua, M., Enhao, Y. Some nonlinear inequalities involving improper integrals and their discrete analogues. Appl. Math. Chin. Univ. 18, 267–275 (2003). https://doi.org/10.1007/s11766-003-0050-1

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  • DOI: https://doi.org/10.1007/s11766-003-0050-1

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