Some notes on the critical Hardy inequalities

2021 ◽  
Author(s):  
Nguyen Tuan Duy
Keyword(s):  
Hardy Inequalities

scholarly journals Sufficient Criteria for Obtaining Hardy Inequalities on Finsler Manifolds

2021 ◽  
Vol 18 (2) ◽  
Author(s):  
Ágnes Mester ◽  
Ioan Radu Peter ◽  
Csaba Varga
Keyword(s):  
Finsler Manifolds ◽  
Hardy Inequalities

Best remainder norms in Sobolev-Hardy inequalities

2009 ◽  
Vol 58 (3) ◽  
pp. 1051-1096 ◽  
Author(s):  
Andrea Cianchi ◽  
Adele Ferone
Keyword(s):  
Hardy Inequalities

scholarly journals Many-particle Hardy inequalities

2007 ◽  
Vol 77 (1) ◽  
pp. 99-115 ◽  
Author(s):  
M. Hoffmann-Ostenhof ◽  
T. Hoffmann-Ostenhof ◽  
A. Laptev ◽  
J. Tidblom
Keyword(s):  
Hardy Inequalities

scholarly journals Some Hardy-Type Inequalities for Superquadratic Functions via Delta Fractional Integrals

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Usama Hanif ◽  
Ammara Nosheen ◽  
Rabia Bibi ◽  
Khuram Ali Khan ◽  
Hamid Reza Moradi
Keyword(s):  
Fractional Calculus ◽  
Time Scales ◽  
Fractional Integrals ◽  
Discrete Fractional Calculus ◽  
Hardy Inequalities ◽  
Hardy Type Inequalities ◽  
Hardy Type ◽  
Superquadratic Functions

In this paper, Jensen and Hardy inequalities, including Pólya–Knopp type inequalities for superquadratic functions, are extended using Riemann–Liouville delta fractional integrals. Furthermore, some inequalities are proved by using special kernels. Particular cases of obtained inequalities give us the results on time scales calculus, fractional calculus, discrete fractional calculus, and quantum fractional calculus.

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