Abstract
Introduction: Recent Developments of Hilbert-Type Inequalities with Applications Preliminary Theorems: Improvements of Euler - Maclaurin's Summation Formula A Half-Discrete Inequality with the General Homogeneous Kernel and Extensions A Half-Discrete Inequality with a General Non-Homogeneous Kernel and Extensions Two Kinds of Multi-dimensional Half-Discrete Inequalities Two Kinds of Multiple Half-Discrete Hilbert-Type Inequalities.
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