Results 41 to 50 of about 1,946 (136)
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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, 2018 By using real analysis technique and the method of weight functions, the necessary and sufficient conditions for the validity of Hilbert type integral inequalities with a class of quasi-homogeneous kernels and the best constant factors are obtained, and ...
Yong Hong, B. He, Bicheng Yang
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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 an inequality suggested by Littlewood
Journal of Inequalities and Applications, 2011 We study an inequality suggested by Littlewood, our result refines a result of Bennett. 2000 Mathematics Subject Classification. Primary 26D15.
Gao Peng
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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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Ostrowski type fractional integral inequalities for MT-convex functions
, 2015 Some inequalities of Ostrowski type for MT-convex functions via fractional integrals are obtained. These results not only generalize those of [25], but also provide new estimates on these types of Ostrowski inequalities for fractional integrals.
Wenjun Liu
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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
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An extended differential form of Hilbert’s inequality
Journal of King Saud University: Science, 2019 In this paper we introduce the extention of the differential form of Helbert’s integral inequality, and the reverse form of it. 2000 Mathematics Subject Classification: 26D15, Keywords and phrases: Hilbert’s integral inequality, Hölder inequality, Hardy
Nizar Kh. Al-Oushoush
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Some integral inequalities for operator monotonic functions on Hilbert spaces
Special Matrices, 2020 Let f be an operator monotonic function on I and A, B∈I (H), the class of all selfadjoint operators with spectra in I. Assume that p : [0.1], →ℝ is non-decreasing on [0, 1].
Dragomir Silvestru Sever
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On a more accurate half-discrete Hilbert-type inequality involving hyperbolic functions
Open Mathematics, 2022 In this work, by the introduction of a new kernel function composed of exponent functions with several parameters, and using the method of weight coefficient, Hermite-Hadamard’s inequality, and some other techniques of real analysis, a more accurate half-
You Minghui, Sun Xia, Fan Xiansheng
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