A unified treatment of half-discrete Hilbert-type inequalities with a homogeneous kernel

DOI10.1007/s00009-013-0265-1zbMath1280.26037OpenAlexW2023264015MaRDI QIDQ382050

Mario Krnić, Predrag D. Vuković, Josip E. Pečarić

Publication date: 18 November 2013

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-013-0265-1

zbMATH Keywords

beta functionHardy-Hilbert-type inequalityHilbert-type inequalityhomogeneous kernelhalf-discrete inequalitynon-conjugate exponentsthe best constant

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (12)

On a class of Hilbert-type inequalities in the whole plane involving some classical kernel functions ⋮ Half-discrete Hilbert-type inequalities with mean operators, the best constants, and applications ⋮ Hilbert-Type Inequalities Including Some Operators, the Best Possible Constants and Applications: A Survey ⋮ A half-discrete Hilbert-type inequality in the whole plane with the constant factor related to a cotangent function ⋮ More accurate form of half-discrete Hilbert-type inequality with a general kernel ⋮ A class of half-discrete Hilbert-type inequalities in the whole plane involving some classical kernels ⋮ Unnamed Item ⋮ Half-discrete Hilbert-type inequalities involving differential operators ⋮ On a new generalization of some Hilbert-type inequalities ⋮ On a class of Hilbert-type inequalities in the whole plane related to exponent function ⋮ On a half-discrete Hilbert-type inequality related to hyperbolic functions ⋮ On a more accurate half-discrete Hilbert-type inequality involving hyperbolic functions

Cites Work

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• On a half-discrete inequality with a generalized homogeneous kernel
• On a more accurate half-discrete Mulholland's inequality and an extension
• On a more accurate half-discrete Hilbert's inequality
• A new half-discrete Mulholland-type inequality with parameters
• A half-discrete Hilbert-type inequality with a non-homogeneous kernel and two variables
• A new Hilbert-type inequality
• Hardy-Hilbert's inequality with general homogeneous kernel

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