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A reverse Mulholland-type inequality in the whole plane [PDF]
Journal of Inequalities and Applications, 2018 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]
Journal of Inequalities and Applications, 2018 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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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 more accurate Hardy-Mulholland-type inequality [PDF]
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 Parametric Mulholland-Type Inequality and Applications [PDF]
Abstract and Applied Analysis, 2019 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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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 +2 more
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On a More Accurate Half-Discrete Mulholland-Type Inequality Involving One Multiple Upper Limit Function [PDF]
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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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 +2 more
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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 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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