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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
doaj   +3 more sources

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

Journal 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
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On a reverse Mulholland-type inequality in the whole plane with general homogeneous kernel [PDF]

Journal of Inequalities and Applications, 2021
By using the idea of introducing parameters and weight coefficients, a new reverse discrete Mulholland-type inequality in the whole plane with general homogeneous kernel is given, which is an extension of the reverse Mulholland inequality. The equivalent
Ricai Luo, Bicheng Yang, Xingshou Huang
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On a more accurate Hardy-Mulholland-type inequality [PDF]

Journal of Inequalities and Applications, 2017
By using the way of weight coefficients, the technique of real analysis, and Hermite-Hadamard’s inequality, a more accurate Hardy-Mulholland-type inequality with multi-parameters and a best possible constant factor is given.
Bicheng Yang, Qiang Chen
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On two kinds of the reverse half-discrete Mulholland-type inequalities involving higher-order derivative function [PDF]

Journal of Inequalities and Applications, 2021
By means of the weight functions, Hermite–Hadamard’s inequality, and the techniques of real analysis, a new more accurate reverse half-discrete Mulholland-type inequality involving one higher-order derivative function is given.
Qiang Chen, Bicheng Yang
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On a more accurate reverse Mulholland-type inequality with parameters [PDF]

Journal of Inequalities and Applications, 2019
By the use of the weight coefficients, the idea of introducing parameters and Hermite–Hadamard’s inequality, a more accurate reverse Mulholland-type inequality with parameters and the equivalent forms are given.
Leping He, Hongyan Liu, Bicheng Yang
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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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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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PARAMETRIC MULHOLLAND-TYPE INEQUALITIES

Journal 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
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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
openaire   +5 more sources