Further Nonlinear Version of Inequalities and Their Applications

被引:4
作者
Khan, Zareen. A. [1 ]
机构
[1] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math, Riyadh, Saudi Arabia
关键词
Integral inequality; discrete inequality; partial derivatives; INTEGRAL-INEQUALITIES;
D O I
10.2298/FIL1918005K
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, some new generalized nonlinear versions are established for integral and discrete analogues of inequalities, with advanced arguments that provide explicit bounds on unknown functions. The estimation given here can be used as a handy and powerful tool in the study of some classes of sum difference and integral equations. Some applications are also discussed here in order to illustrate the usefulness of our results.
引用
收藏
页码:6005 / 6014
页数:10
相关论文
共 21 条
[1]  
Abdeldaim A., 2015, British J. Math. Comp. Sci., V5, P479
[2]  
Ammar A., 2018, APPL MATH COMPUT, V335
[3]  
[Anonymous], 2001, J INEQ PURE APPL MAT
[4]  
[Anonymous], 1992, Integral Inequalities and Applications
[5]   On some delay nonlinear integral inequalities in two independent variables [J].
Boudeliou, Ammar ;
Khellaf, Hassane .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
[6]  
El-Owaidy HM, 2014, KYUNGPOOK MATH J, V54, P555, DOI [10.5666/KMJ.2014.54.4.553, 10.5666/KMJ.2014.54.4.555]
[7]   On some new nonlinear discrete inequalities and their applications [J].
Meng, FW ;
Li, WN .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 158 (02) :407-417
[8]  
Mitrinovic D. S., 1970, Analytic Inequalities
[9]  
Oguntuase J.A., 2001, JIPAM. J. Inequal. Pure Appl. Math, V2, P1
[10]  
Pachpatte BG, 2010, J MATH INEQUAL, V4, P405