Results 21 to 30 of about 77,866 (147)

PARAMETRIC MULHOLLAND-TYPE INEQUALITIES

open access: yesJournal of Applied Analysis & Computation, 2019
Summary: By means of the weight functions and the idea of introducing parameters, a discrete Mulholland-type inequality with the general homogeneous kernel and the equivalent form are given. The equivalent statements of the best possible constant factor related to some parameters, the operator expressions and some particular examples are considered.
He, Leping, Liu, Hongyan, Yang, Bicheng
semanticscholar   +5 more sources

On a more accurate Mulholland-type inequality with different internal variables involving two partial sums

open access: yesJournal of Inequalities and Applications
By using the techniques of real analysis, a new more accurate Mulholland-type inequality with two different internal variables involving two partial sums is given.
Ricai Luo, Bicheng Yang
doaj   +4 more sources

A new reverse Mulholland-type inequality with multi-parameters

open access: yesAIMS Mathematics, 2021
In this paper, we present a new reverse Mulholland-type inequality with multi-parameters and deal with its equivalent forms. Based on the obtained inequalities, the equivalent statements of the best possible constant factor related to several parameters are discussed.
Bicheng Yang, Shanhe Wu, Aizhen Wang
openaire   +4 more sources

A new half-discrete Mulholland-type inequality with multi-parameters [PDF]

open access: yesJournal of Inequalities and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, Qiliang, Yang, Bicheng
semanticscholar   +3 more sources

On a half-discrete Mulholland-type inequality [PDF]

open access: yesMathematical Inequalities & Applications, 2013
By means of weight functions and Hadamard’s inequality, a half-discrete Mulhollandtype inequality with a best constant factor is given. A best extension with multi-parameters, some equivalent forms as well as the operator expressions are also considered. Mathematics subject classification (2010): 26D15, 47A07.
Bicheng Yang, Wing-Sum Cheung
openaire   +2 more sources

A New Half-Discrete Mulholland-Type Inequality with Parameters

open access: yesAnnals of Functional Analysis, 2012
By means of weight functions and Hermite-Hadamard’s inequality, a new half-discrete Mulholland-type inequality with a best constant factor is given. A best extension with multi-parameters, some equivalent forms, the operator expressions as well as some particular cases are considered.
Bicheng Yang
openaire   +3 more sources

A reverse Mulholland-type inequality in the whole plane with multi-parameters

open access: yesApplicable Analysis and Discrete Mathematics, 2019
By introducing multi-parameters, and applying weight coefficients, we prove a reverse Mulholland-type inequality in the whole plane with a best possible constant factor. Moreover, the equivalent forms and a few particular cases are also considered.
Rassias, Michael Th., Yang, Bicheng
openaire   +5 more sources

On a half-discrete Hilbert-type inequality similar to Mulholland’s inequality

open access: yesJournal of Inequalities and Applications, 2013
By using the way of weight functions and Hadamard’s inequality, a half-discrete Hilbert-type inequality similar to Mulholland’s inequality with a best constant factor is given.
Zhenxiao Huang, Bicheng Yang
semanticscholar   +4 more sources

Risk Factors for the Development of Barrett's Esophagus and Esophageal Adenocarcinoma: A Systematic Review and Meta-Analysis. [PDF]

open access: yesCancer Rep (Hoboken)
ABSTRACT Background Barrett's esophagus (BE) is the most widely established precursor to esophageal adenocarcinoma (EAC). Despite current screening guidelines, more than 90% of EAC patients lack a previous diagnosis of BE. We performed a systematic review and meta‐analysis to identify the most important risk factors for the development of BE or EAC ...
Antonios K   +10 more
europepmc   +2 more sources

Characterization of the Hardy property of means and the best Hardy constants [PDF]

open access: yes, 2015
The aim of this paper is to characterize in broad classes of means the so-called Hardy means, i.e., those means $M\colon\bigcup_{n=1}^\infty \mathbb{R}_+^n\to\mathbb{R}_+$ that satisfy the inequality $$ \sum_{n=1}^\infty M(x_1,\dots,x_n) \le C\sum_{n=1}
Pasteczka, Paweł, Páles, Zsolt
core   +2 more sources

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