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A generalization on two new Hilbert type inequalities. (English) Zbl 0978.26004

Author’s abstract: It is well-known that the Hilbert inequality is an important inequality in applications. In 1998, two new inequalities similar to the Hilbert inequality for series were given by B. G. Pachpatte [J. Math. Anal. Appl. 226, No. 1, 166-179 (1998; Zbl 0911.26012)]. The main purpose of the present article is to generalize these two new inequalities.

MSC:

26D10 Inequalities involving derivatives and differential and integral operators
26D15 Inequalities for sums, series and integrals

Citations:

Zbl 0911.26012
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