Yingdi Liu

Abstract This study focuses on the normal pressure characteristics of the transition section of the tubular belt conveyor. Through theoretical derivation and finite element simulation, the normal pressure distribution law of the idlers in the transition section under different influencing factors is deeply analyzed.

By introducing multiple parameters, employing the weight function method based on the “Hardy interpolation problem” and some real analysis techniques, a general Hilbert-type integral inequality with the kernel as k ( x , y ) : = e − α x y ∏ i = 1 n ( 1 + a i x y ) ( a i > 0 ) $$ k\left(x,y\right):= \frac{e^{-\alpha xy}}{\prod_{i=1}^n\left(1+{a}_i xy\right)}\left({a}_i>0\right) $$ is established.