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A Multiple Hilbert-Type Integral Inequality in the Whole Space

In: Applications of Nonlinear Analysis

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  • Bicheng Yang

    (Guangdong University of Education)

Abstract

In this paper, by introducing some interval variables and using the weight functions and the way of real analysis, a multiple Hilbert-type integral inequality in the whole space with a best possible constant factor is given, which is an extension of some published results. The equivalent forms, the operator expressions with the norm, the equivalent reverses, a few particular cases and some examples with the particular kernels are also considered.

Suggested Citation

  • Bicheng Yang, 2018. "A Multiple Hilbert-Type Integral Inequality in the Whole Space," Springer Optimization and Its Applications, in: Themistocles M. Rassias (ed.), Applications of Nonlinear Analysis, pages 827-846, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-89815-5_27
    DOI: 10.1007/978-3-319-89815-5_27
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