scholarly journals On improvements of Fischer’s inequality and Hadamard’s inequality for K 0 -matrices

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Yanxi Li
Keyword(s):  
Hadamard’S Inequality ◽  
Fischer’S Inequality

scholarly journals ON QUASI CONVEX FUNCTIONS AND HADAMARD'S INEQUALITY

2008 ◽  
Vol 41 (2) ◽  
Author(s):  
K.-L. Tseng ◽  
G.-S. Yang ◽  
S. S. Dragomir
Keyword(s):  
Convex Functions ◽  
Hadamard’S Inequality

scholarly journals Fischer Type Log-Majorization of Singular Values on Partitioned Positive Semidefinite Matrices

2021 ◽  
Vol 2021 ◽  
pp. 1-5
Author(s):  
Benju Wang ◽  
Yun Zhang
Keyword(s):  
Singular Values ◽  
Positive Semidefinite ◽  
Positive Semidefinite Matrices ◽  
Fischer’S Inequality ◽  
New Inequalities

In this paper, we establish a Fischer type log-majorization of singular values on partitioned positive semidefinite matrices, which generalizes the classical Fischer's inequality. Meanwhile, some related and new inequalities are also obtained.

scholarly journals On two kinds of the reverse half-discrete Mulholland-type inequalities involving higher-order derivative function

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Qiang Chen ◽  
Bicheng Yang
Keyword(s):  
Type Inequality ◽  
Higher Order ◽  
Constant Factor ◽  
Order Derivative ◽  
Weight Functions ◽  
Real Analysis ◽  
Derivative Function ◽  
Hadamard’S Inequality ◽  
The Best Possible Constant ◽  
Higher Order Derivative

AbstractBy means of the weight functions, Hermite–Hadamard’s inequality, and the techniques of real analysis, a new more accurate reverse half-discrete Mulholland-type inequality involving one higher-order derivative function is given. The equivalent statements of the best possible constant factor related to a few parameters, the equivalent forms, and several particular inequalities are provided. Another kind of the reverses is also considered.

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