Some New Improvements of Huygen's Inequality

Some new extensions of Hardy`s inequality

In this study, by a non-negative homogeneous kernel k we prove some extensions of Hardy's inequalityin two and three dimensions

On Some Improvements of the Jensen Inequality with Some Applications

Refinements and Sharpness of Some New Huygens Type Inequalities

In the article, some Huygens inequalities involving trigonometric and hyperbolic functions are refined and sharpened. Mathematics subject classification (2010): Primary 26D05; Secondary 33B10.

Improvements of Young inequality using the Kantorovich constant

‎Some improvements of Young inequality and its reverse for positive‎ ‎numbers with Kantorovich constant $K(t‎, ‎2)=frac{(1+t)^2}{4t}$‎ ‎are given‎. ‎Using these inequalities some operator inequalities and‎ ‎Hilbert-Schmidt norm versions for matrices are proved‎. ‎In‎ ‎particular‎, ‎it is shown that if $a‎, ‎b$ are positive numbers and‎ ‎$0 leqslant nu leqslant 1,$ then for all integers $ kgeqsl...

some new extensions of hardy`s inequality

in this study, by a non-negative homogeneous kernel k we prove some extensions of hardy's inequalityin two and three dimensions