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Applications of Nonlinear Analysis pp 665–679Cite as

On a Hilbert-Type Integral Inequality in the Whole Plane

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Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 134))

Abstract

By using methods of real analysis and weight functions, we prove a new Hilbert-type integral inequality in the whole plane with non-homogeneous kernel and a best possible constant factor. As applications, we also consider the equivalent forms, some particular cases and the operator expressions.

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Acknowledgements

This work is supported by the National Natural Science Foundation (No. 61772140), and Appropriative Researching Fund for Professors and Doctors, Guangdong University of Education (No. 2015ARF25). We are grateful for their help.

Author information

Authors and Affiliations

  1. Institute of Mathematics, University of Zurich, Zurich, Switzerland

    Michael Th. Rassias

  2. Moscow Institute of Physics and Technology, Dolgoprudny, Russia

    Michael Th. Rassias

  3. Institute for Advanced Study, Program in Interdisciplinary Studies, Princeton, NJ, USA

    Michael Th. Rassias

  4. Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong, People’s Republic of China

    Bicheng Yang

Authors
  1. Michael Th. Rassias
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  2. Bicheng Yang
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Correspondence to Bicheng Yang .

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Editors and Affiliations

  1. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

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Rassias, M.T., Yang, B. (2018). On a Hilbert-Type Integral Inequality in the Whole Plane. In: Rassias, T. (eds) Applications of Nonlinear Analysis . Springer Optimization and Its Applications, vol 134. Springer, Cham. https://doi.org/10.1007/978-3-319-89815-5_23

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