Multidimensional Hilbert-Type Integral Inequalities and Their Operators Expressions

DOI10.1007/978-3-319-06554-0_34zbMath1321.26056OpenAlexW1001902015MaRDI QIDQ2945453

Bicheng Yang

Publication date: 11 September 2015

Published in: Topics in Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-06554-0_34

zbMATH Keywords

weight functionequivalent formHilbert-type integral operatormultidimensional Hilbert-type integral inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Forms (bilinear, sesquilinear, multilinear) (47A07)

Cites Work

• The Hilbert-type integral inequalities with a homogeneous kernel of \( - \lambda \)-degree
• On a Hilbert-type integral inequality in the subinterval and its operator expression
• On Hilbert's integral inequality
• On a multiple Hilbert-type integral inequality with the symmetric kernel
• Best constants for certain multilinear integral operators
• Analytic Number Theory, Approximation Theory, and Special Functions
• Hilbert-Type Integral Operators: Norms and Inequalities
• On the way of weight coefficient and research for the Hilbert-type inequalities
• Hilbert-Type Integral Inequalities
• On inequalities of Hilbert's type
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