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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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Equivalent statements of a more accurate extended Mulholland's inequality with a best possible constant factor [PDF]

Mathematical Inequalities & Applications, 2020
The authors derive and prove a more accurate extended Mulholland inequality and its equivalent forms using the concept of weight functions, introduce parameters and the Hermite-Hadamard inequality. The best possible constants of the inequalities obtained are provided and in some cases the operator expressions of the results obtained are also given.
Yang, Bicheng, Huang, Meifa, Zhong, Yanru   +2 more
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Equivalent Statements of Two Multidimensional Hilbert-Type Integral Inequalities with Parameters

Axioms, 2023
By means of the weight functions, the idea of introduced parameters and the transfer formulas, two multidimensional Hilbert-type integral inequalities with the general nonhomogeneous kernel as H(||x||αλ1||y||βλ2)(λ1,λ2≠0) are given, which are some ...
Yiyuan Li, Yanru Zhong, Bicheng Yang
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A Reverse Hardy–Hilbert’s Inequality Containing Multiple Parameters and One Partial Sum

Mathematics, 2022
In this work, by introducing multiple parameters and utilizing the Euler–Maclaurin summation formula and Abel’s partial summation formula, we first establish a reverse Hardy–Hilbert’s inequality containing one partial sum as the terms of double series ...
Bicheng Yang, Shanhe Wu, Xingshou Huang
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A new Hardy-Hilbert-type inequality with multiparameters and a best possible constant factor [PDF]

Journal of Inequalities and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shi, Yanping, Yang, Bicheng
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A new reverse half-discrete Mulholland-type inequality with a nonhomogeneous kernel

Journal of Inequalities and Applications, 2023
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, Rahela Abd Rahim, Bicheng Yang   +2 more
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A New Extension of Hardy-Hilbert’s Inequality Containing Kernel of Double Power Functions

Mathematics, 2020
In this paper, we provide a new extension of Hardy-Hilbert’s inequality with the kernel consisting of double power functions and derive its equivalent forms.
Bicheng Yang, Shanhe Wu, Qiang Chen
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A new reverse half-discrete Hilbert-type inequality with one partial sum involving one derivative function of higher order

Open Mathematics, 2023
In this article, a new reverse half-discrete Hilbert-type inequality with one partial sum involving one derivative function of higher order is obtained, by using the weight functions, the mid-value theorem, and the techniques of real analysis.
Liao Jianquan, Yang Bicheng
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An Equivalent Form Related to a Hilbert-Type Integral Inequality

Axioms, 2023
In the present paper, we establish an equivalent form related to a Hilbert-type integral inequality with a non-homogeneous kernel and a best possible constant factor. We also consider the case of homogeneous kernel as well as certain operator expressions.
Michael Th. Rassias, Bicheng Yang, Andrei Raigorodskii   +2 more
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On two kinds of the reverse half-discrete Mulholland-type inequalities involving higher-order derivative function

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
doaj   +1 more source