Results 11 to 20 of about 93,877 (207)
Mathematics, 2020 In this paper we establish a new half-discrete Hilbert-type inequality involving the variable upper limit integral and partial sums. As applications, an inequality obtained from the special case of the half-discrete Hilbert-type inequality is further ...
Jianquan Liao, Shanhe Wu, Bicheng Yang
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An Equivalent Form Related to a Hilbert-Type Integral Inequality
Axioms, 2023 In the present paper, we establish an equivalent form related to a Hilbert-type integral inequality with a non-homogeneous kernel and a best possible constant factor. We also consider the case of homogeneous kernel as well as certain operator expressions.
Michael Th. Rassias +2 more
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On Inverse Hilbert-Type Inequalities [PDF]
Journal of Inequalities and Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Changjian, Z, Cheung, WS
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A Multiparameter Hardy–Hilbert-Type Inequality Containing Partial Sums as the Terms of Series
Journal of Mathematics, 2021 In this study, a multiparameter Hardy–Hilbert-type inequality for double series is established, which contains partial sums as the terms of one of the series.
Jianquan Liao, Shanhe Wu, Bicheng Yang
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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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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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Reverse Hilbert type inequalities [PDF]
Journal of Mathematical Inequalities, 2019 Summary: In this paper, some reverse Hilbert-Pachpatte's type inequalities involving series of nonnegative terms are established, which provide new estimates on inequality of this type.
Zhao, Chang-Jian, Cheung, Wing-Sum
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The Fejer-Riesz type result for some weighted Hilbert spaces of analytic functions in the unit disc [PDF]
Opuscula Mathematica, 2011 In this note we prove Fejer-Riesz inequality type results for some weighted Hilbert spaces of analytic functions in the unit disc. We describe also a class of such spaces for which Fejer-Riesz inequality type results do not hold.
Piotr Jakóbczak
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Log-Harnack Inequality for Stochastic Differential Equations in Hilbert Spaces and its Consequences [PDF]
, 2009 A logarithmic type Harnack inequality is established for the semigroup of solutions to a stochastic differential equation in Hilbert spaces with non-additive noise.
Bakry D. +4 more
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Inequalities of Hardy-Littlewood-Polya type for functions of operators and their applications [PDF]
, 2015 In this paper, we derive a generalized multiplicative Hardy-Littlewood-Polya type inequality, as well as several related additive inequalities, for functions of operators in Hilbert spaces.
Babenko, Vladyslav +2 more
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