An extended reverse Hardy-Hilbert's inequality in the whole plane. [PDF]
J Inequal Appl, 2018 Using weight coefficients, a complex integral formula, and Hermite–Hadamard’s inequality, we give an extended reverse Hardy–Hilbert’s inequality in the whole plane with multiparameters and a best possible constant factor.
Chen Q, Yang B.
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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 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 Extended Hardy–Hilbert’s Inequality with Two Partial Sums and Parameters
Axioms, 2023 By using the methods of real analysis and the mid-value theorem, we introduce some lemmas and obtain a new reverse extended Hardy–Hilbert’s inequality with two partial sums and multi-parameters.
Jianquan Liao, Bicheng Yang
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A Reverse Hardy-Hilbert’s Inequality Involving One Partial Sum as the Terms of Double Series
Journal of Function Spaces, 2022 In this paper, by constructing proper weight coefficients and utilizing the Euler-Maclaurin summation formula and the Abel partial summation formula, we establish reverse Hardy-Hilbert’s inequality involving one partial sum as the terms of double series.
Bicheng Yang, Shanhe Wu, Xingshou Huang
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On a reverse extended Hardy–Hilbert’s inequality
Journal of Inequalities and Applications, 2020 By the use of the weight coefficients, the idea of introducing parameters and the Euler–Maclaurin summation formula, a reverse extended Hardy–Hilbert inequality and the equivalent forms are given.
Zhenxiao Huang +2 more
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Novel Fractional Dynamic Hardy–Hilbert-Type Inequalities on Time Scales with Applications
Mathematics, 2021 The main objective of the present article is to prove some new ∇ dynamic inequalities of Hardy–Hilbert type on time scales. We present and prove very important generalized results with the help of Fenchel–Legendre transform, submultiplicative functions ...
Ahmed A. El-Deeb, Jan Awrejcewicz
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On a more accurate Hilbert-type inequality in the whole plane with the general homogeneous kernel
Journal of Inequalities and Applications, 2021 By the use of the weight coefficients, the idea of introduced parameters and the technique of real analysis, a more accurate Hilbert-type inequality in the whole plane with the general homogeneous kernel is given, which is an extension of the more ...
Xingshou Huang, Bicheng Yang
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A reverse extended Hardy–Hilbert’s inequality with parameters
Journal of Inequalities and Applications, 2023 In this paper, by virtue of the symmetry principle, applying the techniques of real analysis and Euler–Maclaurin summation formula, we construct proper weight coefficients and use them to establish a reverse extended Hardy–Hilbert’s inequality with multi-
Ricai Luo, Bicheng Yang, Xingshou Huang
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Gamma-Nabla Hardy–Hilbert-Type Inequalities on Time Scales
Axioms, 2023 We investigated several novel conformable fractional gamma-nabla dynamic Hardy–Hilbert inequalities on time scales in this study. Several continuous inequalities and their corresponding discrete analogues in the literature are combined and expanded by ...
Barakah Almarri, Ahmed A. El-Deeb
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