On some discrete inequalities in two independent variables

Young-Ho Kim

Czechoslovak Mathematical Journal (2005)

  • Volume: 55, Issue: 1, page 113-124
  • ISSN: 0011-4642

Abstract

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In this paper we establish some new nonlinear difference inequalities. We also present an application of one inequality to certain nonlinear sum-difference equation.

How to cite

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Kim, Young-Ho. "On some discrete inequalities in two independent variables." Czechoslovak Mathematical Journal 55.1 (2005): 113-124. <http://eudml.org/doc/30930>.

@article{Kim2005,
abstract = {In this paper we establish some new nonlinear difference inequalities. We also present an application of one inequality to certain nonlinear sum-difference equation.},
author = {Kim, Young-Ho},
journal = {Czechoslovak Mathematical Journal},
keywords = {discrete inequality; two independent variables; difference equations; subadditive and submultiplicative functions; discrete inequality; two independent variables; difference equations; subadditive and submultiplicative functions},
language = {eng},
number = {1},
pages = {113-124},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On some discrete inequalities in two independent variables},
url = {http://eudml.org/doc/30930},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Kim, Young-Ho
TI - On some discrete inequalities in two independent variables
JO - Czechoslovak Mathematical Journal
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 1
SP - 113
EP - 124
AB - In this paper we establish some new nonlinear difference inequalities. We also present an application of one inequality to certain nonlinear sum-difference equation.
LA - eng
KW - discrete inequality; two independent variables; difference equations; subadditive and submultiplicative functions; discrete inequality; two independent variables; difference equations; subadditive and submultiplicative functions
UR - http://eudml.org/doc/30930
ER -

References

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  4. Inequalities Involving Functions and Their Integrals and Derivatives, Kluwer Academic Publishers, Dordrecht-Boston-London, 1991. (1991) MR1190927
  5. On certain new finite difference inequalities, Indian J.  Pure Appl. Math. 24 (1993), 373–384. (1993) Zbl0788.26014MR1229845
  6. 10.1016/0898-1221(94)00111-1, Computer Math. Appl. 28 (1994), 227–241. (1994) Zbl0809.26009MR1284238DOI10.1016/0898-1221(94)00111-1
  7. On some new discrete inequalities useful in the theory of partial finite difference equations, Ann. Differential Equations 12 (1996), 1–12. (1996) MR1394009
  8. On some fundamental integral inequalities and their discrete analogues, J.  Inequal. Pure Appl. Math. 2 (2001), Paper No.  15. (2001) Zbl0989.26011MR1873855
  9. 10.1006/jmaa.2000.7245, J. Math. Anal. Appl. 254 (2001), 587–598. (2001) Zbl1049.26017MR1805526DOI10.1006/jmaa.2000.7245

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