Abstract
Some new inequalities similar to Hilbert's type inequality involving series of nonnegative terms are established.
Highlights
In recent years, several authors 1–10 have given considerable attention to Hilbert’s type inequalities and their various generalizations
Let p ≥ 1, q ≥ 1, and let {am} and {bn} be two nonnegative sequences of real numbers defined for m 1, . . . , k, and n 1, . . . , r, where k, r are natural numbers
Let p ≥ 1, q ≥ 1, t > 0, and 1/α 1/β be positive sequences of real numbers defined for mi ki, ri i 1, . . . , n are natural numbers
Summary
Several authors 1–10 have given considerable attention to Hilbert’s type inequalities and their various generalizations. Let p ≥ 1, q ≥ 1, and let {am} and {bn} be two nonnegative sequences of real numbers defined for m 1, . Let p ≥ 1, q ≥ 1, t > 0, and 1/α 1/β be positive sequences of real numbers defined for mi ki, ri i 1, .
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