On two kinds of the Hardy-type integral inequalities in the whole plane with the equivalent forms

DOI10.1007/978-3-030-84721-0_39zbMath1496.26040OpenAlexW4237071196MaRDI QIDQ2080639

Bicheng Yang, Dorin Andrica, Ovidiu Bagdasar, Michael Th. Rassias

Publication date: 9 October 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-84721-0_39

zbMATH Keywords

weight functionparameterequivalent formbest constantsHardy-type integral inequalityRiemann-zeta function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Numerical summation of series (65B10)

Cites Work

• A survey on the study of Hilbert-type inequalities
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• A multidimensional half-discrete Hilbert-type inequality and the Riemann zeta function
• On a multidimensional half-discrete Hilbert-type inequality related to the hyperbolic cotangent function
• A new Hilbert-type integral inequality in the whole plane with the non-homogeneous kernel
• A Hilbert-type integral inequality in the whole plane with the homogeneous kernel of degree \(-2\)
• On the norm of a Hilbert's type linear operator and applications
• On half-discrete Hilbert's inequality
• Recent developments of Hilbert-type discrete and integral inequalities with applications
• Hilbert-type and Hardy-type integral inequalities with operator expressions and the best constants in the whole plane
• A Hilbert-type integral inequality in the whole plane related to the hypergeometric function and the beta function
• On the norm of an integral operator and applications
• A Multidimensional Hilbert-Type Integral Inequality Related to the Riemann Zeta Function
• On the reverse Hardy-type integral inequalities in the whole plane with the extended Riemann-Zeta function
• Hilbert-Type Integral Inequalities
• Two kinds of the reverse Hardy-type integral inequalities with the equivalent forms related to the extended Riemann zeta function
• A reverse Mulholland-type inequality in the whole plane with multi-parameters
• An Extended Multidimensional Half-Discrete Hardy–Hilbert-Type Inequality with a General Homogeneous Kernel
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