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

1973 ◽  
Vol 13 (1) ◽  
pp. 133-140
Author(s):  
M. P. Sapagovas
2018 ◽  
Vol 68 (4) ◽  
pp. 773-788 ◽  
Author(s):  
Sadia Khalid ◽  
Josip Pečarić ◽  
Ana Vukelić

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.


1997 ◽  
Vol 491 ◽  
Author(s):  
Mark Van Schilfgaarde ◽  
Walter R. L. Lambrecht

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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