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math.NA2024
A Note on Generalized Locally Toeplitz Operators
V. B. Kiran Kumar, N. S. Sarathkumar
Generalized Locally Toeplitz (GLT) matrix sequences arise from large linear systems that approximate Partial Differential Equations (PDEs), Fractional Differential Equations (FDEs)…
math.FA2024
Korovkin-type approximation for non-positive operators
V. B. Kiran Kumar, M. N. N. Namboodiri, P. C. Vinaya
The classical Korovkin theorem traditionally relies on the positivity of the underlying sequence of operators. In 1968, D. E. Wulbert obtained a non-positive version by exploiting…