A reverse Mulholland-type inequality in the whole plane [PDF]
We present a new reverse Mulholland-type inequality in the whole plane with a best possible constant factor by introducing multiparameters, applying weight coefficients, and using the Hermite–Hadamard inequality.
Jianquan Liao, Bicheng Yang
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On a new discrete Mulholland-type inequality in the whole plane [PDF]
A new discrete Mulholland-type inequality in the whole plane with a best possible constant factor is presented by introducing multi-parameters, applying weight coefficients, and using Hermite–Hadamard’s inequality.
Bicheng Yang, Qiang Chen
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On a reverse Mulholland-type inequality in the whole plane with general homogeneous kernel [PDF]
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]
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 a more accurate Hardy-Mulholland-type inequality [PDF]
By using weight coefficients, technique of real analysis, and Hermite-Hadamard’s inequality, we give a more accurate Hardy-Mulholland-type inequality with multiparameters and a best possible constant factor related to the beta function.
Bicheng Yang, Qiang Chen
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On a More Accurate Half-Discrete Mulholland-Type Inequality Involving One Multiple Upper Limit Function [PDF]
By the use of the weight functions, the symmetry property, and Hermite-Hadamard’s inequality, a more accurate half-discrete Mulholland-type inequality involving one multiple upper limit function is given.
Xianyong Huang, Bicheng Yang
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On a Parametric Mulholland-Type Inequality and Applications [PDF]
In this paper, by the use 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.
Bicheng Yang, Meifa Huang, Yanru Zhong
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On two kinds of the reverse half-discrete Mulholland-type inequalities involving higher-order derivative function [PDF]
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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A new reverse half-discrete Mulholland-type inequality with a nonhomogeneous kernel
In this paper, a new reverse half-discrete Mulholland-type inequality with the nonhomogeneous kernel of the form h ( v ( x ) ln n ) $h(v(x)\ln n)$ and the best possible constant factor is obtained by using the weight functions and the technique of real ...
Ling Peng +2 more
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On a more accurate reverse Mulholland-type inequality with parameters [PDF]
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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