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V. Adiyasuren, Tserendorj Batbold, M. Krnic (2013)
On several new Hilbert-type inequalities involving means operatorsActa Mathematica Sinica, English Series, 29
G. Mingzhe, Tan Li, L. Debnath (1999)
Some Improvements on Hilbert's Integral InequalityJournal of Mathematical Analysis and Applications, 229
Chang-Jian Zhao, W. Cheung (2020)
On reverse Hölder and Minkowski inequalitiesMathematica Slovaca, 70
G. Davies, G. Petersen (1964)
ON AN INEQUALITY OF HARDY'S (II)Quarterly Journal of Mathematics, 15
M. Rassias, Bicheng Yang, A. Raigorodskii (2020)
On the reverse Hardy-type integral inequalities in the whole plane with the extended Riemann-Zeta functionJournal of Mathematical Inequalities
Bicheng Yang (2019)
A more accurate multidimensional Hardy-Hilbert-type inequalityJournal of King Saud University - Science
R. Jackson (2007)
InequalitiesContexts, 6
Zhongxue Lü, M. Gao, L. Debnath (2007)
On new generalizations of the Hilbert integral inequalityJournal of Mathematical Analysis and Applications, 326
B. Pachpatte (2000)
Inequalities similar to certain extensions of Hilbert's inequalityJournal of Mathematical Analysis and Applications, 243
G. Szegö (1950)
Über eine Verallgemeinerung des Dirichletschen IntegralsMathematische Zeitschrift, 52
G. Handley, J. Koliha, J. Pečarić (2001)
New Hilbert–Pachpatte Type Integral Inequalities☆Journal of Mathematical Analysis and Applications, 257
G. Anastassiou (2009)
Hilbert-Pachpatte type fractional integral inequalitiesMath. Comput. Model., 49
T Batbold (2019)
167Appl. Math. Comput., 343
EF Beckenbach, R Bellman (1961)
10.1007/978-3-642-64971-4Inequalities
Petr Chunaev (2013)
H\"{o}lder and Minkowski Type Inequalities with Alternating SignsarXiv: Classical Analysis and ODEs
M. Krnic, J. Pečarić (2006)
Extension of Hilbert's inequalityJournal of Mathematical Analysis and Applications, 324
N. Al-Oushoush (2017)
An extended differential form of Hilbert’s inequalityJournal of King Saud University - Science
Leping He, G. Mingzhe, Yu Zhou (2008)
On New Extensions of Hilbert's Integral InequalityInt. J. Math. Math. Sci., 2008
J. Jin, L. Debnath (2010)
On a Hilbert-type linear series operator and its applicationsJournal of Mathematical Analysis and Applications, 371
Chang-Jian Zhao, L. Debnath (2001)
Some New Inverse Type Hilbert Integral InequalitiesJournal of Mathematical Analysis and Applications, 262
Chang-Jian Zhao, M. Bencze (2002)
About Hilbert's integral inequalityOctogon Mathematical Magazine archive, 10
Tserendorj Batbold, L. Azar, M. Krnic (2019)
A unified treatment of Hilbert-Pachpatte-type inequalities for a class of non-homogeneous kernelsAppl. Math. Comput., 343
Bicheng Yang (2013)
A Half-Discrete Hilbert-Type Inequality with a Non-Homogeneous Kernel and Two VariablesMediterranean Journal of Mathematics, 10
Chang-Jian Zhao, W. Cheung (2014)
Reverse Hilbert's type integral inequalitiesMathematical Inequalities & Applications
Zi-tian Xie (2008)
A new reverse Hilbert-type inequality with a best constant factorJournal of Mathematical Analysis and Applications, 343
J. Kuang, L. Debnath (2009)
On Hilbert type inequalities with non-conjugate parametersAppl. Math. Lett., 22
B. Pachpatte (1998)
On Some New Inequalities Similar to Hilbert's InequalityJournal of Mathematical Analysis and Applications, 226
M. Gao, Bicheng Yang (1998)
On the extended Hilbert’s inequality, 126
C-J Zhao, WS Cheung (2018)
On Hilbert’s inequalities with alternating signsJ. Math. Inequal., 12
C. Zhou, W. Cheung, M. Bencze (2019)
Reverse Hilbert type inequalitiesJournal of Mathematical Inequalities
N. Kazarinoff (2021)
Analytic InequalitiesInequalities in Analysis and Probability
Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations
It is well known that most classical inequalities are essentially concerned with positive terms. However, in different branches of analysis it is necessary to deal with alternating series. The main purpose of this paper is to establish some new and interesting Hilbert-type inequalities involving alternating series.
Periodica Mathematica Hungarica – Springer Journals
Published: Dec 1, 2022
Keywords: Hilbert’s inequality for double series; Young’s inequality; Szegő’s inequality; Hölder’s inequality; 26D15
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