Results 111 to 120 of about 7,574,393 (201)

Bounds of Different Integral Operators in Tensorial Hilbert and Variable Exponent Function Spaces

Mathematics
In dynamical systems, Hilbert spaces provide a useful framework for analyzing and solving problems because they are able to handle infinitely dimensional spaces.
Waqar Afzal, Mujahid Abbas, Omar Mutab Alsalami   +2 more
doaj   +1 more source

A Grüss Type Discrete Inequality in Inner Product Spaces and Applications [PDF]

, 1999
A Grüss type inequality in inner product spaces and applications for the discrete Fourier transform, Mellin transform of sequences, polynomials with coefficients in Hilbert spaces and Lipschitzian vector valued mappings are ...
Dragomir, Sever S
core   +2 more sources

Some convexity constants related to Hlawka type inequalities in banach spaces

Journal of Inequalities and Applications, 2002
A Hlawka type inequality in a Banach space is introduced and the best constant is given for the Hilbert space case.
Takahasi Sin-El, Wada Shuhei, Takahashi Yasuji   +2 more
doaj  

Kato’s Type Inequalities in Terms of Moore–Penrose Inverse and Applications for Norm and Numerical Radius of Hilbert Space Operators

Axioms
This paper develops Kato-type inequalities for bounded operators on Hilbert spaces by using the Moore–Penrose inverse of closed range operators. The results extend classical forms of Kato’s inequality to products involving a closed range operator and ...
Najla Altwaijry, Silvestru Sever Dragomir   +1 more
doaj   +1 more source

On a Hilbert-type inequality with a hypergeometric function

, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
He , Bing, Yang , Bicheng
openaire   +2 more sources

On some Hilbert's type inequalities

Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, 2009
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
openaire   +1 more source

Multidimensional Hilbert-Type Inequalities with a Homogeneous Kernel

Journal of Inequalities and Applications, 2009
We consider the Hilbert-type inequalities with nonconjugate parameters. The obtaining the best possible constants in the case of non-conjugate parameters remains still open. Our generalization will include a general homogeneous kernel. Also, we obtain the best possible constants in the case of conjugate parameters when the parameters satisfy ...
openaire   +5 more sources

A Further Generalization of Hardy-Hilbert's Integral Inequality with Parameter and Applications [PDF]

, 2004
In this paper, by introducing some parameters and by employing a sharpening of Hölder’s inequality, a new generalization of Hardy-Hilbert integral inequality involving the Beta function is established.
Leping, He, Dragomir, Sever S, Qiaoshun, Yang   +2 more
core   +1 more source

On a more accurate half-discrete Hardy-Hilbert-type inequality related to the kernel of arc tangent function. [PDF]

Springerplus, 2016
Chen Q, Yang B.
europepmc   +1 more source

On a Relation to Hilbert's Integral Inequality and a Hilbert-Type Inequality

Kyungpook mathematical journal, 2009
In this paper, by introducing some parameters and using the way of weight function, a new integral inequality with a best constant factor is given, which is a relation between Hilbert's integral inequality and a Hilbert-type inequality. As applications, the equivalent form, the reverse forms and some particular inequalities are considered.
openaire   +2 more sources