Some new Hardy type inequalities with general kernels Page 1 M athematical I nequalities & A
pplications Volume 12, Number 3 (2009), 473–485 SOME NEW HARDY TYPE INEQUALITIES …

Let an almost everywhere positive function Φ be convex for p> 1 and p< 0, concave for
p∈(0, 1), and such that Axp≤ Φ (x)≤ Bxp holds on for some positive constants A≤ B. In this …

REFINEMENT OF HARDY-TYPE INEQUALITIES ON TIME SCALES BY OGUNDIMU,
BABATUNDE SOLOMON Page 1 REFINEMENT OF HARDY-TYPE INEQUALITIES ON TIME …

Some new Hardy-type inequalities, where the parameter p is permitted to take different
values in different intervals, are proved and discussed. The parameter can even be negative …

We prove and discuss some power weighted Hardy-type inequalities on finite and infinite
sets. In particular, it is proved that these inequalities are equivalent because they can all be …

We prove some new multidimensional Hardy-type inequalities involving general Hardy type
operators with positive kernels for functions Φ which may not necessarily be convex but …

An n-dimensional general, refined weighted Boas-type inequality for superquadratic
functions and Hardy Littlewood averages is proved. Moreover, we apply this result to unify …

STRENGTHENED HARDY-TYPE INEQUALITIES The following interesting classical theorem
is well known(see [4]): Theorem A. Let f(x) be Page 1 STRENGTHENED HARDY-TYPE …

In this review paper we complement the classical two-dimensional Hardy-type inequality by
E. Sawyer (see MR87f: 42052) in various ways. In particular, ideas and results from three …

It is nowadays well-known that Hardy's inequality (like many other inequalities) follows
directly from Jensen's inequality. Most of the development of Hardy type inequalities has not …