An estimate of the difference Green's function for some elliptic equations

1973 ◽  
Vol 13 (1) ◽  
pp. 133-140
Author(s):  
M. P. Sapagovas
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Elliptic Equations ◽  
The Difference

Refinements of the majorization-type inequalities via green and fink identities and related results

2018 ◽  
Vol 68 (4) ◽  
pp. 773-788 ◽  
Author(s):  
Sadia Khalid ◽  
Josip Pečarić ◽  
Ana Vukelić
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Convex Functions ◽  
Type Inequality ◽  
Cauchy Type ◽  
Linear Functionals ◽  
Ostrowski’S Inequality ◽  
New Family ◽  
Exponentially Convex Functions ◽  
The Difference

Abstract In this work, the Green’s function of order two is used together with Fink’s approach in Ostrowski’s inequality to represent the difference between the sides of the Sherman’s inequality. Čebyšev, Grüss and Ostrowski-type inequalities are used to obtain several bounds of the presented Sherman-type inequality. Further, we construct a new family of exponentially convex functions and Cauchy-type means by looking to the linear functionals associated with the obtained inequalities.

Tight-Binding Linear Muffin-Tin Orbital Implementation of the Difference Equation Green's Function Approach for 2D-Periodic Systems

1997 ◽  
Vol 491 ◽  
Author(s):  
Mark Van Schilfgaarde ◽  
Walter R. L. Lambrecht
Keyword(s):  
Difference Equation ◽  
Green’S Function ◽  
Green's Function ◽  
Tight Binding ◽  
Preliminary Test ◽  
Function Approach ◽  
Test Results ◽  
Layered Systems ◽  
The Difference ◽  
Linear Muffin Tin Orbital

ABSTRACTThe central ideas and the advantages of the difference equation Green's function approach for layered systems with 2D-periodicity are presented. The tight-binding linear muffin-tin orbital and other practical aspects of the implementation are discussed. Preliminary test results are presented.

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