GENERALIZED ENTIRE SEQUENCE SPACES DEFINED BY FRACTIONAL DIFFERENCE OPERATOR AND SEQUENCE OF MODULUS FUNCTIONS
GENERALIZED ENTIRE SEQUENCE SPACES DEFINED BY FRACTIONAL DIFFERENCE OPERATOR AND SEQUENCE OF MODULUS FUNCTIONS
N. Ahmadi, S. K. Sharma, S. A. Mohiuddine
[PDF]
Abstract
In this paper, we introduce some generalized entire sequence spaces and ana- lytic sequence spaces de ned by fractional di erence operator and a sequence of modulus functions. We study some topological properties and give some inclusion relations among the spaces.
Keywords
Paranorm space, modulus function, entire sequences, fractional di erence op- erator.