Results 171 to 180 of about 827 (202)
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Hilbert-type inequalities for Hilbert space operators
Quaestiones Mathematicae, 2013In this paper we establish a general form of the Hilbert inequality for positive invertible operators on a Hilbert space. Special emphasis is given to such inequalities with homogeneous kernels. In some general cases the best possible constant factors are also derived.
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Journal of the London Mathematical Society, 1974
Montgomery, H. L., Vaughan, R. C.
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Montgomery, H. L., Vaughan, R. C.
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2008
Although it originated at the beginning of the 20th century, Hilbert's inequality is still of a great interest. The purpose of this lecture is to give some account of the recent results in this area. Some open problems in determination of the best possible constant in non-conjugate Hilbert type inequalities will be outlined.
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Although it originated at the beginning of the 20th century, Hilbert's inequality is still of a great interest. The purpose of this lecture is to give some account of the recent results in this area. Some open problems in determination of the best possible constant in non-conjugate Hilbert type inequalities will be outlined.
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Some new Hilbert-Pachpatte's inequalities
2009Summary: Some new Hilbert-Pachpatte discrete inequalities and their integral analogues are established in this paper. Other inequalities are also given in remarks.
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
exaly
2001
In this paper we obtain a new class of multivariable integral inequalities of Hilbert type. By specializing the upper estimate functions in tile hypothesis and the parameters, we obtain many special cases, which include, in particular, the integral inequalities derived recently Dy Pochpatte. (C) 2001 Academic Press. [References: 12]
Handley, G.D. +2 more
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In this paper we obtain a new class of multivariable integral inequalities of Hilbert type. By specializing the upper estimate functions in tile hypothesis and the parameters, we obtain many special cases, which include, in particular, the integral inequalities derived recently Dy Pochpatte. (C) 2001 Academic Press. [References: 12]
Handley, G.D. +2 more
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Hilbert-Type Integral Inequalities
2009Hilbert-type integral inequalities, including the well known Hilbert’s integral inequality published in 1908, are important in analysis and its applications. This well organized handbook covers the newest methods of weight functions and most important recent results of Hilbert-type integral inequalities and applications in three classes ...
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2009
In this talk we give some new generalizations of classical Hilbert's inequality. We extend it to a general case with $k\geq 2$ non-conjugate exponents. The established technique is then applied to the case where functions are defined $R^n$, and in the case of conjugate exponents and some special homogeneous kernels it is shown that the obtained ...
Perić, Ivan +2 more
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In this talk we give some new generalizations of classical Hilbert's inequality. We extend it to a general case with $k\geq 2$ non-conjugate exponents. The established technique is then applied to the case where functions are defined $R^n$, and in the case of conjugate exponents and some special homogeneous kernels it is shown that the obtained ...
Perić, Ivan +2 more
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