By looking back at the long history of bounding the ratio for and, various origins of this topic
are clarified, several developed courses are followed, different results are compared, useful …

In this survey paper we present the natural application of certain integral inequalities such
as, Chebychev's inequality for synchronous and asynchronous mappings, Holder's …

This book is a self-contained advanced monograph on inequalities involving the numerical
radius of bounded linear operators acting on complex Hilbert spaces. The study of various …

Includes material for a standard graduate class, advanced material not covered by the
standard course but necessary in order to read research literature in the area, and extensive …

Abstract The Hermite-Hadamard double inequality is the first fundamental result for convex
functions defined on a interval of real numbers with a natural geometrical interpretation and …

Convexity is a simple and natural notion which can be traced back to Archimedes (circa 250
BC), in connection with his famous estimate of the value of π (by using inscribed and …

< 1 f(x)dx <f(a) + f(b) Page 1 SOOCHOW JOURNAL OF MATHEMATICS Volume 21, No. 3, pp.
335-341, July 1995 SOME INEQUALITIES OF HADAMARD TYPE BY SS DRAGOMIR, J. PE …

We introduce a class of h-convex functions which generalize convex, s-convex, Godunova–
Levin functions and P-functions. Namely, the h-convex function is defined as a non-negative …

This monograph is devoted to a rapidly developing area of research of the qualitative theory
of difference and functional differential equations. In fact, in the last 25 years Oscillation …

Polynomials pervade mathematics, virtually every branch of mathematics from algebraic
number theory and algebraic geometry to applied analysis and computer science, has a …