scholarly journals On Lyapunov-type Inequality for a Class of Partial Differential Equations

2018 ◽  
Author(s):  
Chang-Jian ZHAO
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Type Inequality ◽  
Partial Differential ◽  
Lyapunov Type Inequality

scholarly journals AN EXTENSION OF THE HERMITE-HADAMARD INEQUALITY THROUGH SUBHARMONIC FUNCTIONS*

2007 ◽  
Vol 49 (3) ◽  
pp. 509-514 ◽  
Author(s):  
MIHAI MIHĂILESCU ◽  
CONSTANTIN P. NICULESCU
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Type Inequality ◽  
Elliptic Partial Differential Equations ◽  
Second Order ◽  
Partial Differential ◽  
Subharmonic Functions ◽  
Hadamard Inequality

AbstractIn this paper we obtain a Hermite-Hadamard type inequality for a class of subharmonic functions. Our proofs rely essentially on the properties of elliptic partial differential equations of second order. Our study extends some recent results from [1], [2] and [6].

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