On a class of new inequalities

Abstract

Inequalities of considerable interest are associated with the names of Beesack, Benson, Boyd, Calvert, Das, Hardy, Hua, Opial, Wong and Yang. In this note an elementary method used in a recent paper by Benson will be further investigated. The resultant new class of inequalities will bring a great number of inequalities—such as inequalities of Hardy’s and those of Opial’s—under one roof, so to speak.