On half-discrete Hilbert's inequality
From MaRDI portal
Publication:902478
DOI10.1016/J.AMC.2013.06.010zbMath1329.26041OpenAlexW1973629967MaRDI QIDQ902478
Bicheng Yang, Michael Th. Rassias
Publication date: 18 January 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2013.06.010
beta functionweight functionRiemann \(\zeta\)-functionEuler-Maclaurin summation formulabest constantEuler-Mascheroni constantnumerical estimates
Related Items (81)
More accurate and strengthened forms of half-discrete Hilbert inequality ⋮ A more accurate half-discrete Hardy-Hilbert-type inequality with the logarithmic function ⋮ On a multidimensional half-discrete Hilbert-type inequality related to the hyperbolic cotangent function ⋮ On a class of Hilbert-type inequalities in the whole plane involving some classical kernel functions ⋮ A more accurate extended Hardy-Hilbert's inequality with parameters ⋮ On an extended Hardy-Littlewood-Polya's inequality ⋮ A unified extension of some classical Hilbert-type inequalities and applications ⋮ On a multidimensional Hilbert-type integral inequality associated to the gamma function ⋮ On a more accurate half-discrete Hardy-Hilbert-type inequality related to the kernel of exponential function ⋮ A half-discrete Hilbert-type inequality in the whole plane related to the Riemann zeta function ⋮ Half-discrete Hilbert-type inequalities with mean operators, the best constants, and applications ⋮ Equivalent conditions of a multiple Hilbert-type integral inequality with the nonhomogeneous kernel ⋮ A new reverse Hardy-Hilbert inequality with the power function as intermediate variables ⋮ A Multidimensional Hilbert-Type Integral Inequality Related to the Riemann Zeta Function ⋮ A new Hardy-Mulholland-type inequality with a mixed kernel ⋮ A multidimensional Hilbert-type integral inequality ⋮ A sharper form of half-discrete Hilbert inequality related to Hardy inequality ⋮ Hilbert-Type Inequalities Including Some Operators, the Best Possible Constants and Applications: A Survey ⋮ A Half-Discrete Hardy-Hilbert-Type Inequality with a Best Possible Constant Factor Related to the Hurwitz Zeta Function ⋮ On a Hilbert-type integral inequality in the whole plane with the equivalent forms ⋮ A reverse extended Hardy-Hilbert's inequality with parameters ⋮ On a more accurate half-discrete multidimensional Hilbert-type inequality involving one derivative function of \(m\)-order ⋮ A half-discrete Hilbert-type inequality in the whole plane with the constant factor related to a cotangent function ⋮ On a Hilbert-type integral inequality related to the extended Hurwitz zeta function in the whole plane ⋮ A new Hardy-Hilbert-type inequality with multiparameters and a best possible constant factor ⋮ A new Hilbert-type inequality in the whole plane ⋮ Equivalent statements of a more accurate extended Mulholland's inequality with a best possible constant factor ⋮ A half-discrete Hardy-Hilbert-type inequality related to hyperbolic secant function ⋮ A new reverse half-discrete Mulholland-type inequality with a nonhomogeneous kernel ⋮ Unnamed Item ⋮ Parameterized more accurate Hardy-Hilbert-type inequalities and applications ⋮ A class of half-discrete Hilbert-type inequalities in the whole plane involving some classical kernels ⋮ On a Hilbert-type inequality with homogeneous kernel involving hyperbolic functions ⋮ On a more accurate Hardy-Mulholland-type inequality ⋮ On a Hilbert-Type Integral Inequality in the Whole Plane Related to the Extended Riemann Zeta Function ⋮ On a Half-Discrete Hilbert-Type Inequality in the Whole Plane with the Kernel of Hyperbolic Secant Function Related to the Hurwitz Zeta Function ⋮ A NEW HALF-DISCRETE HILBERT-TYPE INEQUALITY IN THE WHOLE PLANE ⋮ On the reverse Hardy-type integral inequalities in the whole plane with the extended Riemann-Zeta function ⋮ On a Half-Discrete Hilbert-Type Inequality in the Whole Plane with the Hyperbolic Tangent Function and Parameters ⋮ On a more accurate Hardy-Mulholland-type inequality ⋮ Two kinds of Hilbert-type integral inequalities in the whole plane ⋮ On a more accurate multidimensional Mulholland-type inequality ⋮ Multiple Parameterize Yang-Hilbert-Type Integral Inequalities ⋮ Parameterized Yang–Hilbert-Type Integral Inequalities and Their Operator Expressions ⋮ A relation between two simple Hardy-Mulholland-type inequalities with parameters ⋮ Equivalent property of a Hilbert-type integral inequality related to the beta function in the whole plane ⋮ A more accurate half-discrete Hilbert-type inequality in the whole plane and the reverses ⋮ On a new generalization of some Hilbert-type inequalities ⋮ Equivalent property of a half-discrete Hilbert's inequality with parameters ⋮ On a Hilbert-type integral inequality in the whole plane related to the extended Riemann zeta function ⋮ Equivalent properties of a Mulholland-type inequality with a best possible constant factor and parameters ⋮ Parameterized discrete Hilbert-type inequalities with intermediate variables ⋮ On a more accurate reverse Mulholland-type inequality with parameters ⋮ Equivalent properties of a reverse half-discrete Hilbert's inequality ⋮ On a new Hilbert-type integral inequality involving the upper limit functions ⋮ On a new extended half-discrete Hilbert's inequality involving partial sums ⋮ On a reverse extended Hardy-Hilbert's inequality ⋮ On Hardy-type integral inequalities in the whole plane related to the extended Hurwitz-zeta function ⋮ A reverse Hardy-Hilbert-type integral inequality involving one derivative function ⋮ On a parametric Mulholland-type inequality and applications ⋮ On a more accurate Hilbert-type inequality in the whole plane with the general homogeneous kernel ⋮ On a multiple Hilbert-type integral inequality involving the upper limit functions ⋮ On a class of Hilbert-type inequalities in the whole plane related to exponent function ⋮ On a reverse Mulholland-type inequality in the whole plane with general homogeneous kernel ⋮ On two kinds of the reverse half-discrete Mulholland-type inequalities involving higher-order derivative function ⋮ On a half-discrete Hilbert-type inequality related to hyperbolic functions ⋮ On two kinds of the Hardy-type integral inequalities in the whole plane with the equivalent forms ⋮ On a more accurate half-discrete Hilbert-type inequality involving hyperbolic functions ⋮ Half-Discrete Hilbert-Type Inequalities, Operators and Compositions ⋮ EQUIVALENT PROPERTY OF A MORE ACCURATE HALF-DISCRETE HILBERT'S INEQUALITY ⋮ ON A REVERSE HARDY-LITTLEWOOD-P<inline-formula><tex-math id="M1">$ \acute{O} $</tex-math></inline-formula>LYA'S INEQUALITY ⋮ Equivalent statements of a Hilbert-type integral inequality with the extended Hurwitz zeta function in the whole plane ⋮ On a parametric more accurate Hilbert-type inequality ⋮ On a more accurate reverse Hilbert-type inequality in the whole plane ⋮ PARAMETRIC MULHOLLAND-TYPE INEQUALITIES ⋮ A Hilbert-type integral inequality in the whole plane related to the hypergeometric function and the beta function ⋮ An extended Hardy-Hilbert's inequality with parameters and applications ⋮ On a more accurate Hilbert-type inequality involving the partial sums ⋮ A refined Hardy-Littlewood-Polya inequality and the equivalent forms ⋮ A survey on the study of Hilbert-type inequalities ⋮ On a Hardy-Hilbert-type inequality with parameters
Cites Work
- A new Hilbert-type integral inequality in the whole plane with the non-homogeneous kernel
- On a more accurate half-discrete Mulholland's inequality and an extension
- A half-discrete Hilbert-type inequality with the non-monotone kernel and the best constant factor
- A new more accurate half-discrete Hilbert-type inequality
- A more accurate half-discrete Hilbert-type inequality with a non-homogeneous kernel
- On some extensions of Hardy-Hilbert's inequality and applications
- 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 a Hilbert-type linear series operator and its applications
- On Hilbert's integral inequality
- Best constants for certain multilinear integral operators
- Problem-Solving and Selected Topics in Number Theory
- On the extended Hilbert’s inequality
- On the way of weight coefficient and research for the Hilbert-type inequalities
- Hilbert-Type Integral Inequalities
- On inequalities of Hilbert's type
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On half-discrete Hilbert's inequality