Results 21 to 30 of about 77,866 (147)
PARAMETRIC MULHOLLAND-TYPE INEQUALITIES
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
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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
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A new reverse Mulholland-type inequality with multi-parameters
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
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A new half-discrete Mulholland-type inequality with multi-parameters [PDF]
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Huang, Qiliang, Yang, Bicheng
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On a half-discrete Mulholland-type inequality [PDF]
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
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A New Half-Discrete Mulholland-Type Inequality with Parameters
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
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A reverse Mulholland-type inequality in the whole plane with multi-parameters
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
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On a half-discrete Hilbert-type inequality similar to Mulholland’s inequality
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
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Risk Factors for the Development of Barrett's Esophagus and Esophageal Adenocarcinoma: A Systematic Review and Meta-Analysis. [PDF]
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
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Characterization of the Hardy property of means and the best Hardy constants [PDF]
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
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