Results 71 to 80 of about 891 (135)
The best constant in a fractional Hardy inequality [PDF]
We prove an optimal Hardy inequality for the fractional Laplacian on the half-space.
arxiv
Spectral Stability of the Neumann Laplacian [PDF]
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]
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
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]
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]
Chu YM+6 more
europepmc +1 more source
Copson-type Inequalities via the k-Hadamard Operator
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]
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]
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]
A new counterpart of Schwarz's inequality in inner product spaces and applications for isotonic functionals, integrals and sequences are provided.
arxiv