Q-Hausdorff summability

Abstract:

We define a q-analog of Cesàro summability and we then construct a class of q-Hausdorff matrices. We define a type of q-difference for sequences and a q-analog of Bernstein polynomials. Using these concepts we define a q-moment problem and relate this moment problem to q-Hausdorff summability. Copyright 2005 Eudoxus Press,LLC.

Año de publicación:

2005

Keywords:

• q- Binomial theorem
• Hausdorff matrices
• Cesàro summability
• Hausdorff moment problem
• Bernstein polynomials
• Matrix summability

Fuente:

scopus