Generalized Averaging Operators and Matrix Summability

Characterization of certain matrix classes involving generalized difference summability spaces

The main aim of this article is to generalize the notion of almost convergent, Cesàro summable and lacunary summable spaces by using a generalized difference operator defined associating a sequence of non-zero scalars and characterize some matrix classes involving these sequence spaces. In this article we also introduce the idea of difference infinite matrices. It is expected that these investi...

Generalized matrix summability of a conjugate derived Fourier series

The study of infinite matrices is important in the theory of summability and in approximation. In particular, Toeplitz matrices or regular matrices and almost regular matrices have been very useful in this context. In this paper, we propose to use a more general matrix method to obtain necessary and sufficient conditions to sum the conjugate derived Fourier series.

Absolute matrix summability methods

Exponential Operators, Dobiński Relations and Summability

We investigate properties of exponential operators preserving the particle number using combinatorial methods developed in order to solve the boson normal ordering problem. In particular, we apply generalized Dobiński relations and methods of multivariate Bell polynomials which enable us to understand the meaning of perturbation-like expansions of exponential operators. Such expansions, obtaine...

Matrix Elements of Generalized Coherent Operators

Explicit forms of matrix elements of generalized coherent operators based on Lie algebras su(1,1) and su(2) are given. ∗E-mail address : [email protected]