Hilbert-type inequality
A new more accurate half discrete Hilbert type inequality
... mixed Hilbert-type inequality with a best constant ...half-discrete Hilbert-type ...reverse Hilbert-type inequality with a non-homogeneous ...
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A discrete Hilbert type inequality in the whole plane
... By the use of weight coefficients and technique of real analysis, a discrete Hilbert-type inequality in the whole plane with multi-parameters and a best possible constant factor is given. The ...
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On a Hardy-Hilbert-Type Inequality with a General Homogeneous Kernel
... By the method of weight coefficients and techniques of real analysis, a Hardy-Hilbert-type inequality with a general homogeneous kernel and a best possible constant factor is given. The equivalent ...
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On a more accurate half discrete Hardy Hilbert type inequality related to the kernel of exponential function
... Hadamard’s inequality, a half-discrete Hardy-Hilbert-type inequality related to the ker- nel of exponential function with a best possible constant factor expressed by the gamma function is ...
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A more accurate half-discrete Hardy-Hilbert-type inequality with the best possible constant factor related to the extended Riemann-Zeta function
... Hermite-Hadamard’s inequality, a half-discrete Hardy-Hilbert-type inequality related to the kernel of the hyperbolic cosecant function with the best possible constant factor expressed in terms ...
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A more accurate half discrete Hardy Hilbert type inequality with the logarithmic function
... half-discrete Hilbert-type inequali- ties with the particular ...half-discrete Hilbert-type inequality with a general homogeneous kernel of degree –λ ∈ R and a best constant factor k(λ ...
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A new extension of a Hardy Hilbert type inequality
... By introducing independent parameters, and applying weight coefficients and the technique of real analysis, we give a new extension of a Hardy-Hilbert-type inequality with a best possible constant ...
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A new discrete Hilbert type inequality involving partial sums
... discrete Hilbert-type inequality involving partial sums, similar to a result of Azar ...Such inequality is derived by virtue of inequal- ity (2) and some well-known classical ...
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A half discrete Hilbert type inequality with a homogeneous kernel and an extension
... Using the way of weight functions and the technique of real analysis, a half-discrete Hilbert-type inequality with a general homogeneous kernel is obtained, and a best extension with two interval ...
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A Reverse Hardy Hilbert Type Inequality
... By estimating the weight coefficient, a reverse Hardy-Hilbert-type inequality is proved. As applications, some equivalent forms and a number of particular cases are obtained. Copyright © 2007 Gaowen ...
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An extension of a multidimensional Hilbert type inequality
... multidimensional Hilbert-type inequality with multi-parameters and a best possible constant factor is given, which is an extension of some published ...
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On a half discrete Hilbert type inequality similar to Mulholland’s inequality
... Hadamard’s inequality, a half-discrete Hilbert-type inequality similar to Mulholland’s inequality with a best constant factor is ...
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On a Hardy Hilbert type inequality with parameters
... By means of the way of weight coefficients and technique of real analysis, an extension of a Hardy-Hilbert-type inequality with parameters and a best possible constant factor is given. The equivalent ...
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A multidimensional discrete Hilbert-type inequality
... At the same time, a half-discrete Hilbert- type inequality with a general non-homogeneous kernel and a best constant factor is given by Yang [15].. In this paper, by using the way of wei[r] ...
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On a strengthened Hardy Hilbert type inequality
... possible. Inequality (.) is well known as Hardy-Hilbert’s inequality, and inequality ...this type of inequality were established (see ...Hardy-Hilbert type inequalities, ...
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On a multidimensional version of the Hilbert type inequality in the whole plane
... Hilbert’s inequality is one of the most significant weighted inequalities in mathematical analysis and its ...years, Hilbert-type inequalities were discussed by numerous authors, who either reproved ...
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On a multidimensional Hilbert type inequality with parameters
... In this paper, by the use of the way of weight coefficients, the transfer formula and technique of real analysis, a multidimensional discrete Hilbert’s inequality with parameters and a bes[r] ...
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On a more accurate multiple Hilbert-type inequality
... 0, inequality (1.3) reduces to (1.2). Another more accurate Hilbert-type inequalities were given by [6], [14], [10], [9], [11], ...multiple Hilbert-type integral inequality ...
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On a new Hardy Mulholland type inequality and its more accurate form
... 8. Chen, Q, Yang, BC: A survey on the study of Hilbert-type inequalities. J. Inequal. Appl. 2015, 302 (2015) 9. Yang, BC: The Norm of Operator and Hilbert-Type Inequalities. Science Press, ...
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A Hilbert's Inequality with a Best Constant Factor
... Xie, “A new reverse Hilbert-type inequality with a best constant factor,” Journal of Mathematical Analysis and Applications, vol.. Yang, “On an extended Hardy-Hilbert’s inequality and so[r] ...
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