22 citations · 36 across the 17 of their papers we have counts for
5 papers · 1 filter
A square-root complex inequality and its induced metric structure
Gangsong Leng, Lecheng Yang
Let be a finite measure space with . We investigate the integral form, stability, and metric geometry associated with a square-root complex. After proving the ine…
Distance Stability for the Integral Hardy and Carleman Inequalities
Gangsong Leng
We study stability forms of two classical integral inequalities: Hardy's integral inequality and the integral Carleman inequality, also known as the Pólya--Knopp inequality. The sh…
Two Integral Sliding-Window Inequalities for Maximal Convolutions
Gangsong Leng, Cheng Li
We prove two sliding-window inequalities for maximal convolutions. The first concerns the multiplicative maximal convolution. If and are nonnegative continuous functions on…
An Optimal Stability Theorem for Hölder's Inequality
Gangsong Leng, Yifan Lu
We prove an optimal stability theorem for Hölder's inequality. Let , , and . If and \[ \sum_{k=1}^n a_k=\sum_{k=1}^n b_k=1, \] then \[ 1-\…
Inequalities on a Class of Function Sets
Gangsong Leng
We prove a functional extension of an exponential inequality originally proposed by Bin Zhao and proved by Xiaosheng Mou. The main result asserts that if a…