Abstract
In the present paper we establish new inequalities similar to the extensions of Hilbert’s double-series inequality and also give their integral analogues. Our results provide some new estimates to these types of inequalities.MSC:26D15.
Highlights
In recent years several authors have given considerable attention to Hilbert’s double-series inequality together with its integral version, inverse version, and various generalizations
Our results provide some new estimates to these types of inequalities
2 Statement of results Our main results are given in the following theorems
Summary
In recent years several authors have given considerable attention to Hilbert’s double-series inequality together with its integral version, inverse version, and various generalizations (see [ – ]). We establish multivariable sum inequalities for the extensions of Hilbert’s inequality and obtain their integral forms. ) as follows: Theorem A Let p, q, a(s), b(t), a( ), b( ), ∇a(s) and ∇b(t) be as in [ ], m n In [ ], Pachpatte established a similar version of inequality
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