Abstract
We introduce a new sequence space which is defined by the operatorW=(wnk)on the sequence spaceℓ(p). We define a modular functional on this space and investigate structure of this space equipped with Luxemburg norm. Also we study some geometric properties which are called Kadec-Klee, k-NUC, and uniform Opial properties and prove that this new space possesses these properties.
Keywords
Algorithm
Computer science
Artificial intelligence
Subject Areas
Approximation Theory and Sequence Spaces
·Statistics and Probability ·Physical Sciences
Optimization and Variational Analysis
·Computational Theory and Mathematics ·Physical Sciences
Fixed Point Theorems Analysis
·Geometry and Topology ·Physical Sciences
Citations by Year
2014: 1
2017: 1
2020: 1
2021: 2
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