On The Convex Functions With Some Integral Inequalities

Mahmoud Yousef Al Agha

dc.contributor.author	Mahmoud Yousef Al Agha
dc.date.accessioned	21/10/2020
dc.date.accessioned	21/10/2020
dc.date.accessioned	2020-10-21T10:17:55Z
dc.date.available	21/10/2020
dc.date.available	2020-10-21T10:17:55Z
dc.date.issued	2/20/2017
dc.identifier.uri	http://dspace.alazhar.edu.ps/xmlui/handle/123456789/1138
dc.description.abstract	ABSTRACT In this thesis we introduce some main results from the theory of convex functions and Jensen's and related Inequalities. Also we present a detailed study of an important type of inequalities called Steffensen's Inequality. The aim of the this thesis is to provide a systematic study of some but important integral inequalities with a focus on Steffensen's type, which find numerous applications in special functions, special means and other fields in mathematics. Steffensen's inequality deals with the comparison between integrals over a whole interval and integrals over a subinterval of . Many mathematicians presented scientific papers in this field, for example, Mercer, Pecaric, Hayashi, Wu, Srivastava and Cerone. We study some generalizations belong to these scientists, and we give good contributions as applications for special functions, special means and integral mean and we also study new generalizations of Steffensen's inequality. We focus on the concept of convex sets, and convex and concave functions. Also we offer some basic inequalities associated with convex functions. We study Jensen and Jensen-Steffensen inequalities, and offer some generalization of Steffensen's inequality. We focus on the work of Pecaric and Wu-Srivastava and give some new generalizations. Also we offer some new extensions for Cerone's generalizations which were obtained by using the ideas of Pecaric.	en_US
dc.language.iso	en_US	en_US
dc.title	On The Convex Functions With Some Integral Inequalities	en_US
dc.type	Thesis	en_US