3 papers
math.FA2026
A Durrmeyer-type variant of Grünwald Interpolation Operators
P. C. Vinaya
In this paper, we construct a Durrmeyer-type variant of Grünwald interpolation operators on the space . We prove their fundamental properties, including boundedness and…
math.FA2026
A Kantorovich-type variant of Grünwald Interpolation Operators
P. C. Vinaya
In this paper, we introduce a new sequence of operators based on the Grünwald interpolation operators on Chebyshev nodes on the space . The operators we consider are in…
math.FA2025
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. However, in 1968, D. E. Wulbert established the first non-positive ve…