The best constants in multidimensional Hilbert-type inequalities involving some weighted means operators

DOI10.1007/s40840-014-0065-1zbMath1317.26016OpenAlexW2026952777MaRDI QIDQ2350692

Mario Krnić, Tserendorj Batbold, Vandanjav Adiyasuren

Publication date: 25 June 2015

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-014-0065-1

zbMATH Keywords

Hilbert-type inequalityhomogeneous kernelbest possible constantweighted geometric mean operatorweighted harmonic mean operator

Mathematics Subject Classification ID

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

Related Items

Hilbert-Type Inequalities Including Some Operators, the Best Possible Constants and Applications: A Survey

Cites Work

• Multiple Hilbert's type inequalities with a homogeneous kernel
• Jensen's operator and applications to mean inequalities for operators in Hilbert space
• On a Hilbert-type integral inequality in the subinterval and its operator expression
• On the multidimensional Hilbert-type inequalities involving the hardy operator
• Some new inequalities similar to Hilbert-type integral inequality with a homogeneous kernel
• Inequalities related to Hardy's and Heinig's
• Multiple Hilbert and Hardy-Hilbert inequalities with non-conjugate parameters
• INQUALITIES WITH NON-CONJUGATE PARAMETERS
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