Results 71 to 80 of about 891 (135)

The best constant in a fractional Hardy inequality [PDF]

open access: yesarXiv, 2008
We prove an optimal Hardy inequality for the fractional Laplacian on the half-space.
arxiv  

Spectral Stability of the Neumann Laplacian [PDF]

open access: yesarXiv, 2001
We prove the equivalence of Hardy- and Sobolev-type inequalities, certain uniform bounds on the heat kernel and some spectral regularity properties of the Neumann Laplacian associated with an arbitrary region of finite measure in Euclidean space. We also prove that if one perturbs the boundary of the region within a uniform H\"older category then the ...
arxiv  

A Counterpart of Bessel's Inequality in Inner Product Spaces and Some Gruss Type Related Results [PDF]

open access: yesarXiv, 2003
A counterpart of the famous Bessel's inequality for orthornormal families in real or complex inner product spaces is given. Applications for some Gruss type inequalities are also provided.
arxiv  

Hardy-type inequalities for a class of iterated operators and their application to Morrey-type spaces

open access: yesOpen Mathematics
In this study, we discuss new Hardy-type inequalities for operators involving iteration and provide explicit characterizations of these inequalities. As an application of our results, we consider the problem of the boundedness of the multidimensional ...
Kalybay Aigerim
doaj   +1 more source

On Bessel and Gruss Inequalities for Orthornormal Families in Inner Product Spaces [PDF]

open access: yesarXiv, 2003
A new counterpart of Bessel's inequality for orthornormal families in real or complex inner product spaces is obtained. Applications for some Gruss type results are also provided.
arxiv  

Predictive dynamical modeling and stability of the equilibria in a discrete fractional difference COVID-19 epidemic model. [PDF]

open access: yesResults Phys, 2023
Chu YM   +6 more
europepmc   +1 more source

Copson-type Inequalities via the k-Hadamard Operator

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science
In this paper, we present a novel class of Copson-type inequalities involving the right-sided k-Hadamard fractional integral operator with all parameters of integrability p ≠ 0 and obtain some classical special cases of Copson inequalities.
Benaissa Bouharket, Azzouz Noureddine
doaj   +1 more source

Some New Results Related to Bessel and Gruss Inequalities for Orthogonal Families in Inner Product Spaces [PDF]

open access: yesarXiv, 2003
Some new counterparts of Bessel's inequality for orthornormal families in real or complex inner product spaces are pointed out. Applications for some Gruss type inequalities are also empahsized.
arxiv  

A Generalisation of an Ostrowski Inequality in Inner Product Spaces [PDF]

open access: yesarXiv, 2003
A generalisation of inner product spaces of an inequality due to Ostrowski and applications for sequences and integrals are given.
arxiv  

A Counterpart of Schwarz's Inequality in Inner Product Spaces [PDF]

open access: yesarXiv, 2003
A new counterpart of Schwarz's inequality in inner product spaces and applications for isotonic functionals, integrals and sequences are provided.
arxiv  

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