Hardy-Littlewood-Type Inequalities and their Factorized Enhancement
In chapter 1 of this survey paper we present some classical inequalities proved by G.H. Hardy, J.E. Littlewood and E.T. Copson concerning numerical series, furthermore their recent generalizations. Naturally, here and later on, we display mostly the results having connection with our outcomes and interest. In chapter 2 we collect inequalities pertaining to power and Dirichlet series. These results also have their origin in the papers by Hardy-Little wood and H.P. Mulholland. In chapter 3 we recall G. Bennett’s new and very interesting idea, the factorization of inequalities. In this short section we pick up some new theorems of the auther, too. Some open problems can be discovered in each paragraph.
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