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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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A strengthened Mulholland-type inequality with parameters [PDF]
Journal of Inequalities and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Aizhen +2 more
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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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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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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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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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MathematicsIn 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
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On a half-discrete reverse Mulholland-type inequality and an extension [PDF]
Journal of Inequalities and Applications, 2014 AbstractBy using the way of weight functions and the Hermite-Hadamard inequality, a half-discrete reverse Mulholland-type inequality with a best constant factor is given. The extension with multi-parameters, the equivalent forms as well as the relating homogeneous inequalities are also considered.MSC:26D15.
Liu, Tuo, Yang, Bicheng, He, Leping
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A Mulholland-type inequality in the whole plane with multi parameters
Journal of King Saud University - Science, 2020 Abstract By introducing independent parameters, and applying the weight coefficients, we give a new Mulholland-type inequality in the whole plane with a best possible constant factor. Moreover, the equivalent forms, a few particular cases and the operator expressions are considered.
Bing He, Bicheng Yang
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