Title of article :
Bounds for the Operator Norm on Weighted Cesaro Fractional Difference Sequence Spaces
Author/Authors :
Raj ، Kuldib School of Mathematics - Shri Mata Vaishno Devi University , Choudhary ، Anu School of Mathematics - Shri Mata Vaishno Devi University , Mursaleen ، Mohammad Department of Medical Research - China Medical University Hospital - China Medical University (Taiwan)
Abstract :
In this paper, we determine the upper and lower bounds for the norm of lower triangular matrix operators on Cesàro weighted (p, v)−fractional difference sequence spaces of modulus functions. We consider the matrix operators acting between ℓp(w) and Cp(v, ω, Δ(η,ℓ),F) and identify their bounds and vice-versa. We also investigate the same characteristics for Nörlund and weighted mean matrix operators.
Keywords :
Cesàro sequence space , (η , ℓ)−fractional difference operator , Modulus function , Lower triangular matrix
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
