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Further Accurate Numerical Radius Inequalities

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type , Preprint 30 Apr 2023 English Publisher:MDPI AGJournal:Axioms, volume 12, page 801 (eissn: 2075-1680, Copyright policy )
Authors: Tariq Qawasmeh; Ahmad Qazza; Raed Hatamleh; Mohammad Wajeeh Alomari; Rania Saadeh;

doi: 10.3390/axioms12080801 , 10.20944/preprints202304.1255.v1

Further Accurate Numerical Radius Inequalities

Abstract

The goal of this study is to refine some numerical radius inequalities in a novel way. The new improvements and refinements purify some famous inequalities pertaining to Hilbert space operators numerical radii. The inequalities that have been demonstrated in this work are not only an improvement over old inequalities but also stronger than them. Several examples supporting the validity of our results are provided as well.

Related Organizations
Keywords

norm, Hermite–Hadamard inequality, inequalities, QA1-939, Computer Science and Mathematics, numerical radius, Analysis, Mathematics

  • BIP!
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 5
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Top 10%
Average
Top 10%
gold