CO-ORDINATED CONVEX FUNCTIONS OF THREE VARIABLES AND SOME ANALOGOUS INEQUALITIES WITH APPLICATIONS
Keywords:
Hermite-Hadamard’s inequality, co-ordinated convex function, H¨older’s integral inequality, power mean inequality, arithmetic mean, logarithmic mean.Abstract
Co-ordinated convex function of two variables and corresponding inequalities have been studied before by many researchers. This paper deals with Co-ordinated convex function of three variables. In the present paper the idea of co-ordinated convex function of two variables in a rectangle from the plane R2 is extended to that of three variables in a rectangle from space R3 . Moreover corresponding extended right handed Hermite-Hadamard type inequalities are also incorporated. At the end some applications of resulting inequalities to special means are also given.
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Published
2021-05-22
How to Cite
Rashida Hussain, Asghar Ali, Asia Latif, & Ghazala Gulshan. (2021). CO-ORDINATED CONVEX FUNCTIONS OF THREE VARIABLES AND SOME ANALOGOUS INEQUALITIES WITH APPLICATIONS. Journal of Computational Analysis and Applications (JoCAAA), 29(3), 505–517. Retrieved from http://eudoxuspress.com/index.php/pub/article/view/165
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