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Further nonlinear version of inequalities and their applications

Khan Zareen A. (Department of Mathematics, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia)

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.

Keywords: Integral inequality, discrete inequality, partial derivatives