A note on Grüss type inequalities via Cauchy's mean value theorem

A note on the Young type inequalities

In this   paper,  we   present  some  refinements  of the   famous Young  type  inequality.   As  application  of   our   result, we  obtain  some  matrix inequalities   for   the  Hilbert-Schmidt norm  and   the  trace   norm. The results    obtained   in  this  paper  can  be   viewed   as  refinement  of  the   derived  results   by  H.  Kai  [Young  type  inequalities  for matrices,  J.  Ea...

Some generalized Ostrowski-Grüss type integral inequalities

An Inequality of Ostrowski Type via Pompeiu’s Mean Value Theorem

 (b− a)M, for all x ∈ [a, b] . The constant 14 is best possible in the sense that it cannot be replaced by a smaller constant. In [2], the author has proved the following Ostrowski type inequality. Theorem 2. Let f : [a, b] → R be continuous on [a, b] with a > 0 and differentiable on (a, b) . Let p ∈ R\ {0} and assume that Kp (f ) := sup u∈(a,b) { u |f ′ (u)| } < ∞. Then we have the inequality...

Some Ostrowski Type Inequalites via Cauchy’s Mean Value Theorem

Some Ostrowski type inequalities via Cauchy’s mean value theorem and applications for certain particular instances of functions are given.

Grüss type inequalities for double integrals on time scales

We prove some weighted Grüss type inequalities for double integrals on time scales and unify the corresponding continuous and discrete versions, which are the generalizations of the results proved earlier in the literature