7 citations · 7 across the 5 of their papers we have counts for
5 papers
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 c…
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 inte…
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…
Operator version of Korovkin Theorem; Degree of Convergence and its Applications
V. B. Kiran Kumar, P. C. Vinaya
In a recent article, Dumitru Popa proved an operator version of the Korovkin theorem. We recall the quantitative version of the Korovkin theorem obtained by O. Shisha and B. Mond i…
Revisiting Korovkin-type Theorems in Banach Function Spaces
V. B. Kiran Kumar, P C Vinaya
This article delves into Korovkin-type theorems in Banach function spaces, as established by Yusuf Zeren et al. (2022). We prove that in this theorem, the positivity of the operato…