Approximation Theorems for Exponentially Bounded K−convoluted C−cosine Functions
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i1.5560Keywords:
K−convoluted C−cosine functions, C−resolvent, Approximation. AMS Mathematics Subject Classification (2020): Primary 46A32; Sec- ondary 47D09, 47A58, 60J35.Abstract
Let C : E → E be a bounded linear operator on a complex Banach space E and K : [0, +∞[→ C a locally integrable function. The aim of this paper, based on the theory of K- convoluted C-cosine functions, is to study the approximation theorem for K-convoluted C-cosine functions by showing the relation between the convergence of the sequence of C-resolvent and the exponentially bounded sequence of K-convoluted C-cosine functions.
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Copyright (c) 2025 Youssef Bajjou, Abdelkhalek El Amrani, Aziz Blali
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