Volume 2,  Issue 1, 2001

Article 4

 

SOME ASPECTS OF CONVEX FUNCTIONS AND THEIR APPLICATIONS

J. ROOIN
E-Mail: rooin@Iasbs.ac.ir

INSTITUTE FOR ADVANCED STUDIES IN BASIC SCIENCES, ZANJAN, IRAN

AND

FACULTY OF MATHEMATICAL SCIENCES AND COMPUTER ENGINEERING, 
UNIVERSITY FOR TEACHER EDUCATION, 
599 TALEGHANI AVENUE, 
TEHRAN 15614, IRAN.

Received 13 April, 2000; accepted 04 October 2000.
Communicated by: N.S. Barnett


ABSTRACT. In this paper we will study some aspects of convex functions and as
applications prove some interesting inequalities.

Key words:
Convex Functions, Means, Lp-Spaces, Fubini's Theorem.

2000 Mathematics Subject Classification:
26D15, 39B62, 43A15.


 

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Other papers in this issue

Some inequalities for the dispersion of a random variable whose PDF is defined on a finite interval
N.S. Barnett, P. Cerone, S.S. Dragomir and J. Roumeliotis 

Monotone Methods Applied to Some Higher Order Boundary Value Problems
John M. Davis and Johnny Henderson

On Multiplicatively Perfect Numbers
J. Sándor 

Some Aspects of Convex Functions and Their Applications
J. Rooin 

Further Reverse Results for Jensen's Discrete Inequality and Applications in Information Theory
I. Budimir, S.S. Dragomir and J. Pecaric

Sharp Bounds on Quasiconvex Moments of Generalized Order Statistics 
L. Gajek and A. Okolewski

Inequalities on Polynomial Heights
L. Panaitopol and Doru Stefanescu

An Application of Van der Corput's Inequality
Kanthi Perera

On a Inequality of Gronwall
James Adedayo Oguntuase

Complete Systems of Inequalities
Maria A. Hernandez Cifre, Guillermo Salinas and Salvador Segura Gomis 

On Some Applications of the AG Inequality in Information Theory
B. Mond and J.E. Pecaric 

On Ky Fan's Minimax Inequalities, Mixed Equilibrium Problems and Hemivariational Inequalities
E. M. Kalmoun 

An Algebraic Inequality
Feng Qi 


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