Generalized Cesaro operators, fractional finite differences and Gamma functions

In this paper, we present a complete spectral research of generalized Cesaro operators on Sobolev-Lebesgue sequence spaces. The main idea is to subordinate such operators to suitable Co-semigroups on these sequence spaces. We introduce that family of sequence spaces using the fractional finite differences and we prove some structural properties similar to classical Lebesgue sequence spaces. In order to show the main results about fractional finite differences, we state equalities involving sums of quotients of Euler's Gamma functions. Finally, we display some graphical representations of the spectra of generalized Cesaro operators

On some generalized q-difference sequence spaces

In this study, we construct the spaces of $q$-difference sequences of order $m$. We obtain some inclusion relations, topological properties, Schauder basis and alpha, beta and gamma duals of the newly defined spaces. We characterize certain matrix classes from the newly defined spaces to any one of the spaces $c_0, c, \ell_\infty$ and $\ell_p$

On some Generalized Nörlund Ideal Convergent Sequence Spaces

In this paper, some new Ideal convergent sequence spaces 14cN,p,qI , (c0)N,p,qI"> and 14(l∞)N,p,qI"> that are related to the 14(N,p,q)-"> summability method, are introduced and some topological properties of these spaces and some inclusion relations and results are determined