A class of Hilbert-type inequalities obtained via the improved Young inequality

DOI10.1007/s00025-015-0506-7zbMath1357.26037OpenAlexW2249479910MaRDI QIDQ511812

Mario Krnić, Predrag D. Vuković

Publication date: 22 February 2017

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-015-0506-7

zbMATH Keywords

Hölder inequalityrefinementHardy inequalityYoung inequalityHilbert inequality

Mathematics Subject Classification ID

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

Related Items (8)

Equivalent conditions of optimal half discrete Hilbert type multiple integral inequalities with quasi homogeneous kernel and applications ⋮ Equivalent parameter conditions for the validity of half-discrete Hilbert-type multiple integral inequality with generalized homogeneous kernel ⋮ THE STRUCTURAL FEATURES OF HILBERT-TYPE LOCAL FRACTIONAL INTEGRAL INEQUALITIES WITH ABSTRACT HOMOGENEOUS KERNEL AND ITS APPLICATIONS ⋮ A constructive method for approximating trigonometric functions and their integrals ⋮ More accurate Hilbert-type inequalities in a difference form ⋮ Multidimensional Hilbert-type inequalities obtained via local fractional calculus ⋮ The equivalent parameter conditions for constructing multiple integral half-discrete Hilbert-type inequalities with a class of nonhomogeneous kernels and their applications ⋮ Conditions for the validity of a class of optimal Hilbert type multiple integral inequalities with nonhomogeneous kernels

Cites Work

• Properties of some functionals related to Jensen's inequality
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