Hardy-Hilbert-type inequality
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 ...
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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 ...
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On a strengthened Hardy Hilbert type inequality
... possible. Inequality (.) is well known as Hardy-Hilbert’s inequality, and inequality ...a Hardy-Hilbert type ...this type of inequality were established ...
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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 ...
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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 ...
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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 ...
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An extended multidimensional Hardy-Hilbert-type inequality with a general homogeneous kernel
... multidimensional Hardy–Hilbert–type inequality with a general homogeneous kernel and a best possible constant factor is given in Theorem ...this type of ...
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On a more accurate half discrete Hardy Hilbert type inequality related to the kernel of exponential function
... Hermite-Hadamard’s inequality, a half-discrete Hardy-Hilbert-type inequality related to the kernel of exponential function with the best possible constant factor expressed by the gamma ...
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A more accurate half discrete Hardy Hilbert type inequality with the logarithmic function
... Hadamard’s inequality, a more accurate half-discrete Hardy-Hilbert-type inequality re- lated to the kernel of logarithmic function and a best possible constant factor is given by ...
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A half discrete Hardy Hilbert type inequality related to hyperbolic secant function
... half-discrete Hilbert-type in- equality with a general inhomogeneous kernel and the best constant factor is given by Yang ...half-discrete Hilbert-type ...
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A new Hardy Hilbert type inequality with multiparameters and a best possible constant factor
... The equivalent forms, the operator expression with the norm, the reverse and some particular inequalities with the best possible constant factors are also considered.... Proof By Hölder’[r] ...
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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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On a more accurate Hardy Mulholland type inequality
... 19. Gao, MZ, Yang, BC: On the extended Hilbert’s inequality. Proc. Am. Math. Soc. 126(3), 751-759 (1998) 20. Chen, Q, Yang, BC: A survey on the study of Hilbert-type inequalities. J. Inequal. Appl. ...
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New Upper Bounds for Mathieu-Type Series
... The Mathieu’s series S(r) was considered firstly by ´ E.L. Mathieu in 1890; its alternating variant S(r) has been recently introduced by Pog´any e et al. [12] where various bounds have been established for S, S. In this ...
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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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On a New Hilbert Hardy Type Integral Operator and Applications
... integral inequality, a Hilbert-Hardy-type integral operator is defined, and the norm of operator is ...new Hilbert- Hardy-type inequality similar to ...
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On a more accurate Hardy Mulholland type inequality
... (ii) For < p < (or p < ), by the reverse Hölder’s inequality with weight (cf. []) and (), we obtain the reverse of () (or ()), then we have the reverse of (), and then the reverse of () ...
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An improved Hardy type inequality on Heisenberg group
... 4 is the best constant in (1.1) and is never achieved. A similar inequality with the same best constant holds in ℝ N is replaced by an arbitrary domain Ω ⊂ ℝ N and Ω contains the origin. Moreover, in case Ω ⊂ ℝ N ...
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Integral Inequality of Hardy Type on Time Scales
... integral inequality of Hardy-type on Time-scale and obtained the best possible constant by employing modified Minkowski integral inequalities with some standard ...
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A multidimensional Hilbert type integral inequality
... In this paper, by using the transfer formula and applying the method of weight func- tions and the technique of real analysis, we give a multidimensional Hilbert-type inte- gral inequality with ...
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