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A more accurate half-discrete Hilbert-type inequality in the whole plane and the reverses


Rassias, Michael Th; Yang, Bicheng; Meletiou, Gerasimos C (2021). A more accurate half-discrete Hilbert-type inequality in the whole plane and the reverses. Annals of Functional Analysis, 12(3):50.

Abstract

A more accurate half-discrete Hilbert-type inequality in the whole plane with multi-parameters is established by the use of Hermite–Hadamard’s inequality and weight functions. Furthermore, some equivalent forms and some special types of inequalities and operator representations as well as reverses are considered.

Abstract

A more accurate half-discrete Hilbert-type inequality in the whole plane with multi-parameters is established by the use of Hermite–Hadamard’s inequality and weight functions. Furthermore, some equivalent forms and some special types of inequalities and operator representations as well as reverses are considered.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > Analysis
Physical Sciences > Algebra and Number Theory
Uncontrolled Keywords:Control and Optimization, Analysis, Algebra and Number Theory
Language:English
Date:1 July 2021
Deposited On:14 Oct 2022 10:16
Last Modified:27 Apr 2024 01:40
Publisher:Springer
ISSN:2008-8752
OA Status:Hybrid
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1007/s43034-021-00133-w
Project Information:
  • : FunderUniversität Zürich
  • : Grant ID
  • : Project Title
  • Content: Published Version
  • Language: English
  • Licence: Creative Commons: Attribution 4.0 International (CC BY 4.0)