This paper proposes a new graph convolutional operator called central difference convolution (CDGC) for skeleton based action recognition. It is not only able to aggregate node information like vanilla operation but also gradient information. Without introducing any additional parameters, CDGC can replace in existing Graph Convolutional Networks (GCNs). In addition, an accelerated version of th...

The little q-Jacobi function transform depends on three parameters. An explicit expression as a sum of two very-well-poised 8W7-series is derived for the dual transmutation kernel relating little q-Jacobi function transforms for different parameter sets. A product formula for the dual transmutation kernel is obtained. For the inverse transform the transmutation kernel is given as a 3φ2-series, ...

Abstract — A semilinear second-order singularly perturbed parabolic equation in one space dimension is considered. For this equation, we give computable a posteriori error estimates in the maximum norm for a difference scheme that uses Backward-Euler in time and central differencing in space. Sharp L1-norm bounds for the Green’s function of the parabolic operator and its derivatives are derived...

The aim of this paper is to establish the coefficient bounds for certain classes of analytic functions associated with q-difference operator. Certain applications of these results for the functions defined through convolution are also obtained. 2010 Mathematics Subject Classifications: Primary 30C45; Secondary 30C50

In a recent paper by Hirzallah et al. [O. Hirzallah, F. Kittaneh, M. Krnić, N. Lovričević, and J. Pečarić. Eigenvalue inequalities for differences of means of Hilbert space operators. Linear Algebra and its Applications, 436:1516–1527, 2012.], several eigenvalue inequalities are obtained for the difference of weighted arithmetic and weighted geometric means of two positive invertible operators ...

Spectral theory from the second-order q-difference operator Δ q is developed. We give an integral representation of its inverse, and the resolvent operator is obtained. As application , we give an analogue of the Poincare inequality. We introduce the Zeta function for the operator Δ q and we formulate some of its properties. In the end, we obtain the spectral measure. 1. Basic definitions Consi...

Many applied time-dependent problems are characterized by an additive representation of the problem operator. Additive schemes are constructed using such a splitting and associated with the transition to a new time level on the basis of the solution of more simple problems for the individual operators in the additive decomposition. We consider a new class of additive schemes for problems with a...