Results 11 to 20 of about 120 (96)

A relation between two simple Hardy-Mulholland-type inequalities with parameters [PDF]

Journal of Inequalities and Applications, 2016
By means of weight coefficients and the technique of real analysis, a new Hardy-Mulholland-type inequality with the kernel K λ ( m , n ) : = 1 ln λ U m + ln λ V n + α | ln λ U m − ln λ V n | $$ K_{\lambda}(m,n):=\frac{1}{\ln^{\lambda}U_{m}+\ln^{\lambda ...
Qiang Chen, Yanping Shi, Bicheng Yang
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A more accurate Mulholland-type inequality in the whole plane

Journal of Inequalities and Applications, 2017
By introducing independent parameters, applying the weight coefficients, and Hermite-Hadamard’s inequality, we give a more accurate Mulholland-type inequality in the whole plane with a best possible constant factor. Furthermore, the equivalent forms, the
Yanru Zhong, Bicheng Yang, Qiang Chen
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On a new Hardy-Mulholland-type inequality and its more accurate form [PDF]

Journal of Inequalities and Applications, 2016
Using weight coefficients and applying the well-known Hermite-Hadamard inequality, a new Hardy-Mulholand-type inequality with a best possible constant factor is given.
Aihua Li, Bicheng Yang, Leping He
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Equivalent properties of a Mulholland-type inequality with a best possible constant factor and parameters [PDF]

Journal of Inequalities and Applications, 2019
By means of the weight coefficients, using the idea of introduced parameters and the techniques of real analysis, a Mulholland-type inequality with a homogeneous kernel and an equivalent form are provided.
Hongmin Mo, Bicheng Yang
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A Half-Discrete Hardy–Mulholland-Type Inequality Involving One Multiple Upper Limit Function and One Partial Sum

Mathematics
In this paper, by using the techniques of real analysis, with the help of the Euler–Maclaurin summation formula, Abel’s summation by parts formula, and the differentiation mid-value theorem, we establish a half-discrete Hardy–Mulholland-type inequality ...
Bicheng Yang, Shanhe Wu, Jianquan Liao
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A new Hardy–Mulholland-type inequality with a mixed kernel [PDF]

Advances in Operator Theory, 2021
AbstractBy the use of weight coefficients and techniques of real analysis, we establish a new Hardy–Mulholland-type inequality with a mixed kernel and a best possible constant factor in terms of the hypergeometric function. Equivalent forms, an operator expression with the norm and reverses are also considered.
Rassias, Michael Th, Yang, Bicheng, Raigorodskii, Andrei   +2 more
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On a half-discrete Mulholland-type inequality [PDF]

Mathematical 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
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A strengthened Mulholland-type inequality with parameters [PDF]

Journal of Inequalities and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Aizhen, Huang, Qiliang, Yang, Bicheng   +2 more
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A new reverse Mulholland-type inequality with multi-parameters

AIMS 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
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On a more accurate multidimensional Mulholland-type inequality [PDF]

Journal of Inequalities and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Qiang, Yang, Bicheng
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