scholarly journals ON LIEB AND THIRRING TYPE DISCRETE INEQUALITIES

1991 ◽  
Vol 22 (2) ◽  
pp. 145-151
Author(s):  
B. G. PACHPATTE
Keyword(s):  
Independent Variables ◽  
Discrete Inequalities ◽  
Forward Differences

Discrete inequalities of the Lieb and Thirring type involving functions of several independent variables and their forward differences are established. The proofs given here are elementary and the results established provide new estimates on these types of inequalities.

scholarly journals Some New Volterra-Fredholm-Type Discrete Inequalities and Their Applications in the Theory of Difference Equations

2011 ◽  
Vol 2011 ◽  
pp. 1-24 ◽  
Author(s):  
Bin Zheng ◽  
Qinghua Feng
Keyword(s):  
Difference Equations ◽  
Fredholm Type ◽  
Qualitative And Quantitative ◽  
Independent Variables ◽  
Discrete Inequalities ◽  
Quantitative Properties ◽  
Two Independent Variables

Some new Volterra-Fredholm-type discrete inequalities in two independent variables are established, which provide a handy tool in the study of qualitative and quantitative properties of solutions of certain difference equations. The established results extend some known results in the literature.

Sharp discrete inequalities inn independent variables

1995 ◽  
Vol 72 (2-3) ◽  
pp. 97-112 ◽  
Author(s):  
Ravi P. Agarwal ◽  
Peter Y.H. Pang
Keyword(s):  
Independent Variables ◽  
Discrete Inequalities

scholarly journals On Ostrowski and Gr"uss type discrete inequalities for second forward differences

2004 ◽  
Vol 35 (1) ◽  
pp. 87-93
Author(s):  
Dah-Yan Hwang ◽  
Gou-Sheng Yang
Keyword(s):  
Present Article ◽  
Discrete Inequalities ◽  
Forward Differences

The aim of the present article is to establish two new discrete Ostrowski and Gr"uss type inequalities involving functions and their first second forward differences.

scholarly journals DISCRETE POINCARE-TYPE INEQUALITIES

1998 ◽  
Vol 29 (2) ◽  
pp. 145-153
Author(s):  
WING-SUM CHEUNG
Keyword(s):  
Discrete Analogue ◽  
Integral Inequalities ◽  
Independent Variables ◽  
Type Integral ◽  
Discrete Inequalities ◽  
Poincaré Type Inequalities

In this paper some discrete analogue of Poincare-type integral inequalities involving many independent variables are established. These in turn can be used to serve as generators of other interesting discrete inequalities.

scholarly journals A note on Ostrowski and Gr"uss type discrete inequalities

2004 ◽  
Vol 35 (1) ◽  
pp. 61-66 ◽  
Author(s):  
B. G. Pachpatte
Keyword(s):  
Present Note ◽  
Discrete Inequalities ◽  
Forward Differences

The aim of the present note is to establish some new discrete inequalities of the Ostrowski and Gr"uss type involving two functions and their forward differences.

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