Results 31 to 40 of about 93,437 (112)
A NOTE ON HILBERT TYPE INEQUALITY
In the present note we establish a new Hilbert type inequality mvolving sequences of real numbers. An integral analogue of the main result is also given.
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On a New Reverse Hilbert's Type Inequality
Summary: In this paper, by using the Euler-Maclaurin expansion for the Riemann-\(\zeta\) function, we establish an inequality of a weight coefficient. Using this inequality, we derive a new reverse Hilbert's type inequality. As an applications, an equivalent form is obtained.
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Some Inequalities for Trace Class Operators Via a Kato's Result [PDF]
By the use of the celebrated Kato's inequality we obtain in this paper some new inequalities for trace class operators on a complex Hilbert space H.
Dragomir, Silvestru Sever
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A Hilbert’s type inequality with two parameters
In this paper, by introducing a parameter ? and ?, using the Euler-Maclaurin expansion for the Riemann zeta function, we establish an inequality of a weight coefficient. Using this inequality, we derive generalizations of a Hilbert?s type inequality.
Zhang, Zhengping, Xi, Gaowen
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On a Generalization of Hilbert‐Type Integral Inequality [PDF]
By introducing some parameters, we establish generalizations of the Hilbert‐type inequality. As applications, the reverse and its equivalent form are considered.
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Note on Hilbert-type inequalities
The main objective of this paper is to prove Hlbert-type and Hardy-Hilbert-type inequalities with a general homogeneous kernel, thus generalizing a result obtained in [Namita Das and Srinibas Sahoo, A generalization of multiple Hardy-Hilbert's integral inequality, Journal of Mathematical Inequalities, 3(1), (2009), 139-154.]
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On some new Hilbert-type inequalities
Abstract In the present paper we establish some new inequalities similar to extensions of Hilbert’s double-series inequality and give also their integral analogues. Our results provide some new estimates to these types of inequalities.
Cheung, WS, ChangJian, Z, LianYing, C
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Noncommutative Chebyshev inequality involving the Hadamard product
We present several operator extensions of the Chebyshev inequality for Hilbert space operators. The main version deals with the synchronous Hadamard property for Hilbert space operators.
Bakherad, Mojtaba +1 more
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On some Hilbert's type inequalities
A generalization of the well-known Hilbert’s inequality is given. Several other results of this type in recent years follows as a special case of our result.
Marangunić, Ljubo, Pečarić, Josip
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A Hilbert’s type inequality with three parameters
In this paper, by introducing three parameters A,B,? and using the Euler-Maclaurin expansion for the Riemann zeta function, we establish an inequality of a weight coefficient. Using this inequality, we derive generalizations of a Hilbert?s type inequality.
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