Results 41 to 50 of about 2,697,458 (148)

A New Hardy–Hilbert-Type Integral Inequality Involving General Homogeneous Kernel and Two Derivative Functions of Higher Order

Mathematics
In this paper, by introducing a general homogeneous kernel function and several parameters, we establish a new Hardy–Hilbert-type integral inequality involving two derivative functions of higher-order.
Bicheng Yang, Shanhe Wu, Xianyong Huang
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A New Extension of Hardy-Hilbert’s Inequality in the Whole Plane

Journal of Function Spaces, 2016
By the use of weight coefficients and Hermite-Hadamard’s inequality, a new extension of Hardy-Hilbert’s inequality in the whole plane with multiparameters and a best possible constant factor is given. The equivalent forms, the operator expressions, and a
Bicheng Yang, Qiang Chen
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On a more accurate Hardy-Mulholland-type inequality

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 a New Extension of Mulholland’s Inequality in the Whole Plane

Journal of Function Spaces, 2018
A new, more accurate extension of Mulholland’s inequality in the whole plane with a best possible constant factor is presented by introducing independent parameters, applying weight coefficients and using Hermite-Hadamard’s inequality.
Bicheng Yang, Yanru Zhong, Qiang Chen
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On a New Half-Discrete Hilbert-Type Inequality Involving the Variable Upper Limit Integral and Partial Sums

Mathematics, 2020
In this paper we establish a new half-discrete Hilbert-type inequality involving the variable upper limit integral and partial sums. As applications, an inequality obtained from the special case of the half-discrete Hilbert-type inequality is further ...
Jianquan Liao, Shanhe Wu, Bicheng Yang
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A Multiparameter Hardy–Hilbert-Type Inequality Containing Partial Sums as the Terms of Series

Journal of Mathematics, 2021
In this study, a multiparameter Hardy–Hilbert-type inequality for double series is established, which contains partial sums as the terms of one of the series.
Jianquan Liao, Shanhe Wu, Bicheng Yang
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On a more accurate Hardy-Mulholland-type inequality

Journal of Inequalities and Applications, 2016
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 New Extended Hardy–Hilbert’s Inequality with Parameters

Mathematics, 2020
In this paper, by introducing parameters and weight functions, with the help of the Euler−Maclaurin summation formula, we establish the extension of Hardy−Hilbert’s inequality and its equivalent forms.
Bicheng Yang, Shanhe Wu, Jianquan Liao
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On a More Accurate Half-Discrete Mulholland-Type Inequality Involving One Multiple Upper Limit Function

Journal of Function Spaces, 2021
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 more accurate reverse Mulholland-type inequality with parameters

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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