A new generalization of Hardy-Hilbert's inequality with non-homogeneous kernel

Chi Tung Chang*, Jin Wen Lan, Kuo-Zhong Wang

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

Let p < 1, 1/p + 1/p* = 1, and a = (an) n=1∞, b = (bm)m=1∞ be two complex sequences. We exhibit the generalization of Hardy-Hilbert's inequality of the following type: (eqution presented) where K: (0, ∞) × (0, ∞) → (0, ∞), f1, f2, φ1, φ2: (0, ∞) → (0, ∞1) and C is a suitable constant. We also get several interesting inequalities which generalize many recent results.

Original languageEnglish
Pages (from-to)1-11
Number of pages11
JournalMathematical Inequalities and Applications
Volume14
Issue number1
DOIs
StatePublished - 1 Jan 2011

Keywords

  • Hardy-Hilbert's inequality
  • Hilbert's inequality
  • Inequalities

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