Hilbert-type inequalities involving differential operators, the best constants, and applications
From MaRDI portal
Publication:5174155
DOI10.7153/mia-18-07zbMath1307.26018OpenAlexW2328344058MaRDI QIDQ5174155
Tserendorj Batbold, Mario Krnić, Vandanjav Adiyasuren
Publication date: 17 February 2015
Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7153/mia-18-07
Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (36)
Multiple Hilbert-type inequalities involving some differential operators ⋮ A more accurate extended Hardy-Hilbert's inequality with parameters ⋮ On an extended Hardy-Littlewood-Polya's inequality ⋮ A new reverse Hardy-Hilbert inequality with the power function as intermediate variables ⋮ Hilbert-Type Inequalities Including Some Operators, the Best Possible Constants and Applications: A Survey ⋮ A new reverse Mulholland-type inequality with multi-parameters ⋮ A reverse extended Hardy-Hilbert's inequality with parameters ⋮ On a reverse Hardy-Hilbert-type integral inequality involving derivative functions of higher order ⋮ On a more accurate half-discrete multidimensional Hilbert-type inequality involving one derivative function of \(m\)-order ⋮ A Hardy-Hilbert-type integral inequality involving two multiple upper-limit functions ⋮ 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 ⋮ Parameterized more accurate Hardy-Hilbert-type inequalities and applications ⋮ A new Hilbert-type integral inequality with the general nonhomogeneous kernel and applications ⋮ Equivalent property of a half-discrete Hilbert's inequality with parameters ⋮ On a more accurate half-discrete Mulholland-type inequality involving one multiple upper limit 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 ⋮ 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 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 ⋮ 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 ⋮ On a parametric more accurate Hilbert-type inequality ⋮ PARAMETRIC MULHOLLAND-TYPE INEQUALITIES ⋮ 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
This page was built for publication: Hilbert-type inequalities involving differential operators, the best constants, and applications
