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On an Extension of a Hardy–Hilbert-Type Inequality with Multi-Parameters

Author

Listed:
  • Bicheng Yang

    (Department of Mathematics, Guangdong University of Education, Guangzhou 510303, China)

  • Michael Th. Rassias

    (Department of Mathematics and Engineering Sciences, Hellenic Military Academy, 16673 Vari Attikis, Greece
    Moscow Institute of Physics and Technology, Institutskiy Per, d. 9, 141700 Dolgoprudny, Russia
    Program in Interdisciplinary Studies, Institute for Advanced Study, 1 Einstein Dr, Princeton, NJ 08540, USA)

  • Andrei Raigorodskii

    (Moscow Institute of Physics and Technology, Institutskiy Per, d. 9, 141700 Dolgoprudny, Russia
    Department of Mechanics and Mathematics, Moscow State University, 119991 Moscow, Russia
    Institute for Mathematics and Informatics, Buryat State University, 670000 Ulan-Ude, Russia
    Caucasus Mathematical Center, Adyghe State University, 385000 Maykop, Russia)

Abstract

Making use of weight coefficients as well as real/complex analytic methods, an extension of a Hardy–Hilbert-type inequality with a best possible constant factor and multiparameters is established. Equivalent forms, reverses, operator expression with the norm, and a few particular cases are also considered.

Suggested Citation

  • Bicheng Yang & Michael Th. Rassias & Andrei Raigorodskii, 2021. "On an Extension of a Hardy–Hilbert-Type Inequality with Multi-Parameters," Mathematics, MDPI, vol. 9(19), pages 1-16, September.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:19:p:2432-:d:647530
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