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A New Hardy–Hilbert’s Integral Inequality with Two Internal Variables Involving Two Extended Derivative Functions of Higher-Order

Author

Listed:
  • B. C. Yang

    (Guangdong University of Education, School of Mathematics)

  • M. Th. Rassias

    (University of Zurich, Institute of Mathematics
    Moscow Institute of Physics and Technology
    Program in Interdisciplinary Studies, Institute for Advanced Study)

Abstract

By means of the weight functions, the idea of introduced parameters and the techniques of real analysis, a new Hardy–Hilbert’s integral inequality with two internal variables involving two extended derivative functions of higher-order is obtained. The equivalent statements of the best possible constant factor related to the parameters are considered. Some particular inequalities and the case of the reverses are provided.

Suggested Citation

  • B. C. Yang & M. Th. Rassias, 2026. "A New Hardy–Hilbert’s Integral Inequality with Two Internal Variables Involving Two Extended Derivative Functions of Higher-Order," Springer Optimization and Its Applications,, Springer.
    • Handle: RePEc:spr:spochp:978-3-032-07860-5_31
    DOI: 10.1007/978-3-032-07860-5_31
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