Results 31 to 40 of about 240 (118)
On a new generalization of some Hilbert-type inequalities
Open Mathematics, 2021 In this work, by introducing several parameters, a new kernel function including both the homogeneous and non-homogeneous cases is constructed, and a Hilbert-type inequality related to the newly constructed kernel function is established.
You Minghui, Song Wei, Wang Xiaoyu
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Advancements in Harmonic Convexity and Its Role in Modern Mathematical Analysis
Journal of Mathematics, Volume 2025, Issue 1, 2025.Convex functions play an integral part in artificial intelligence by providing mathematical guarantees that make optimization more efficient and reliable. In this manuscript, we originate and analyze a novel category of convexity, namely, harmonically trigonometric p‐convex functions, and explore their properties.
Sabila Ali +4 more
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Extension of Hu Ke's inequality and its applications
Journal of Inequalities and Applications, 2011 In this paper, we extend Hu Ke's inequality, which is a sharpness of Hölder's inequality. Moreover, the obtained results are used to improve Hao Z-C inequality and Beckenbach-type inequality that is due to Wang.
Tian Jing-Feng
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Open Mathematics, 2021 In this study, we first obtain a new identity for generalized fractional integrals which contains some parameters. Then by this equality, we establish some new parameterized inequalities for co-ordinated convex functions involving generalized fractional ...
Kalsoom Humaira +3 more
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Certain Novel p,q‐Fractional Integral Inequalities of Grüss and Chebyshev‐Type on Finite Intervals
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this article, we investigate certain novel Grüss and Chebyshev‐type integral inequalities via fractional p,q‐calculus on finite intervals. Then, some new Pólya–Szegö–type p,q‐fractional integral inequalities are also presented. The main findings of this article can be seen as the generalizations and extensions of a large number of existing results ...
Xiaohong Zuo +2 more
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On some Opial-type inequalities
Journal of Inequalities and Applications, 2011 In the present paper we establish some new Opial-type inequalities involving higher-order partial derivatives. Our results in special cases yield some of the recent results on Opial's inequality and also provide new estimates on inequalities of this type.
Cheung Wing-Sum, Zhao Chang-Jian
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Journal of Mathematics, Volume 2024, Issue 1, 2024.The theory of inequalities is greatly influenced by interval‐valued concepts, and this contribution is explored from several perspectives and domains. The aim of this note is to develop several mathematical inequalities such as Hermite–Hadamard, Fejér, and the product version based on center radius CR‐order relations.
Zareen A. Khan +4 more
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On improvements of the Rozanova's inequality
Journal of Inequalities and Applications, 2011 In the present paper, we establish some new Rozanova's type integral inequalities involving higher-order partial derivatives. The results in special cases yield some of the interrelated results on Rozanova's inequality and provide new estimates on ...
Cheung Wing-Sum, Zhao Chang-Jian
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A Refinement of Jensen’s and Minkowski’s Inequalities via Superquadratic Functions
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.We provide in this note a different refinement of Jensen’s inequality obtained via superquadratic functions. A refinement of Minkowski’s and Hölder’s inequalities is also established as an application of our refined Jensen’s inequality.
Anton Asare-Tuah +2 more
wiley +1 more source
Advances in Difference Equations, 2011 In this paper, we present some new discrete Volterra-Fredholm type inequalities, based on which we study the qualitative and quantitative properties of solutions of a class of Volterra-Fredholm type difference equation.
Zheng Bin
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